BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Claremont Center for the Mathematical Sciences - ECPv6.15.17.1//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-ORIGINAL-URL:https://colleges.claremont.edu/ccms X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:America/Los_Angeles BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20170312T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20171105T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20180311T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20181104T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20190310T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20191103T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20200308T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20201101T090000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191015T121500 DTEND;TZID=America/Los_Angeles:20191015T131000 DTSTAMP:20260418T213002 CREATED:20190830T203403Z LAST-MODIFIED:20191010T171535Z UID:1465-1571141700-1571145000@colleges.claremont.edu SUMMARY:Sporadic points on modular curves (Ozlem Ejder\, Colorado State University) DESCRIPTION:A classic and fundamental result in number theory is due to Mordell who proved that the set of points on an elliptic curve defined over a number field forms a finitely generated abelian group; in particular\, it has a finite torsion subgroup. An essential tool to study elliptic curves is the modular curves which are moduli spaces for elliptic curves with an additional structure.  In particular\, $X_1(n)$ classifies the elliptic curves with a point of order of $n$.  Motivated by the classification of torsion problems\, we study the sporadic points on the curve $X_1(n)$\, that is\, the closed points on $X_1(n)$ such that there are at most finitely many points of degree at most $\deg(x)$. In this talk\, we will discuss the finiteness of sporadic points. This is joint with A. Bourdon\, Y. Liu\, F. Odumudu and B. Viray. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-ozlem-ejder-colorado-state-university/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191014T161500 DTEND;TZID=America/Los_Angeles:20191014T171500 DTSTAMP:20260418T213002 CREATED:20190911T055121Z LAST-MODIFIED:20190919T171212Z UID:1530-1571069700-1571073300@colleges.claremont.edu SUMMARY:Applied Math Talk: A Full Asymptotic Series of European Call Option Prices in the SABR Model with Beta = 1 given by Zhengji Guo (CGU) DESCRIPTION:We develop two new pricing formulae for European options. The purpose of these formulae is to better understand the impact of each term of the model\, as well as improve the speed of the calculations. We consider the SABR model (with $\beta=1$) of stochastic volatility\, which we analyze by tools from Malliavin Calculus. We follow the approach of Alòs et al (2006) who showed that under stochastic volatility framework\, the option prices can be written as the sum of the classic Hull-White (1987) term and a correction due to correlation. We derive the Hull-White term\, by using the conditional density of the average volatility\, and write it as a two-dimensional integral. For the correction part\, we use two different approaches. Both approaches rely on the pairing of the exponential formula developed by Jin\, Peng\, and Schellhorn (2016) with analytical calculations. The first approach\, which we call ”Dyson series on the return’s idiosyncratic noise” yields a complete series expansion but necessitates the calculation of a 7-dimensional integral. Two of these dimensions come from the use of Yor’s (1992) formula for the joint density of a Brownian motion and the time-integral of geometric Brownian motion. The second approach\, which we call ”Dyson series on the common noise” necessitates the calculation of only a one-dimensional integral\, but the formula is more complex. This research consisted of both analytical derivations and numerical calculations. The latter show that our formulae are in general more exact\, yet more time-consuming to calculate\, than the first order expansion of Hagan et al (2002). URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-zhengji-guo-cgu/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191008T121500 DTEND;TZID=America/Los_Angeles:20191008T131000 DTSTAMP:20260418T213002 CREATED:20190909T203312Z LAST-MODIFIED:20190909T203312Z UID:1495-1570536900-1570540200@colleges.claremont.edu SUMMARY:Matroids: a unified theory of independence (Mauricio Gomez Lopez\, University of Oregon) DESCRIPTION:In this talk\, I will give an overview of the theory of matroids. These are mathematical objects which capture the combinatorial essence of linear independence. Besides providing some basic definitions of this theory\, I will discuss several examples of matroids and explain some connections with optimization. Also\, in this talk\, I will introduce matroid polytopes\, which provide a geometric framework for studying matroids. If time permits\, I will discuss some new proofs to known results that I developed with one of my students during a research program this summer. URL:https://colleges.claremont.edu/ccms/event/matroids-a-unified-theory-of-independence-mauricio-gomez-lopez-university-of-oregon/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191007T163000 DTEND;TZID=America/Los_Angeles:20191007T173000 DTSTAMP:20260418T213002 CREATED:20190911T040840Z LAST-MODIFIED:20190930T185051Z UID:1528-1570465800-1570469400@colleges.claremont.edu SUMMARY:Applied Math Seminar: Mathematical model of Hematopoietic cell differentiation from single-cell gene sequencing data (Prof. Heyrim Cho \,UCR) DESCRIPTION:Recent advances in single-cell gene sequencing data and high-dimensional data analysis techniques are bringing in new opportunities in modeling biological systems. In this talk\, I will discuss different approaches to develop mathematical models from single-cell data. Particularly for high-dimensional single-cell gene sequencing data\, dimension reduction techniques are applied to find the trajectories of cell states in the reduced differentiation space. Then\, we develop PDE models that describe the cell differentiation as directed and random movement on the abstracted graph or on the reduced space. Normal hematopoiesis differentiation and abnormal processes of acute myeloid leukemia (AML) progression are simulated\, and the model can predict the emergence of cells in novel intermediate states of differentiation consistent with immunophenotypic characterizations of AML. In addition\, we demonstrate that our model is capable to illustrate the reconstitution of impaired Hematopoiesis\, for instance\, after chemotherapy. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-heyrim-cho-ucr/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191004T160000 DTEND;TZID=America/Los_Angeles:20191004T170000 DTSTAMP:20260418T213002 CREATED:20190808T233920Z LAST-MODIFIED:20190919T220053Z UID:1353-1570204800-1570208400@colleges.claremont.edu SUMMARY:Regime transitions of liquid films flowing down a fiber (Applied Math Talk given by Prof. Claudia Falcon\, UCLA) DESCRIPTION:Recent  experiments  of  thin  films  flowing  down  a  vertical  fiber  with  varying  nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. Determining  the  regime  transitions from absolute (Rayleigh- Plateau) instability is useful in the  design  of  heat  and  mass  exchangers for applications that include cooling systems and desalination. We present a detailed analysis using a full lubrication model that includes slip boundary conditions\, nonlinear curvature terms\, and a film stabilization term. This study brings to focus the presence of a stable liquid layer playing an important role in the full dynamics. We propose a combination of these physical effects to explain the observed velocity  and  stability  of  traveling  droplets  in  the  experiments  and their  transition  to isolated droplets. When thermal gradients are present\, it can induce bead coalescence away from the nozzle. To account for this\, we incorporate spatial-dependent viscosity and surface tension to the model\, due  to  inhomogeneous  temperature  field  along  the  fiber. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-claudia-falcon/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191001T121500 DTEND;TZID=America/Los_Angeles:20191001T131000 DTSTAMP:20260418T213002 CREATED:20190824T031500Z LAST-MODIFIED:20191001T150201Z UID:1368-1569932100-1569935400@colleges.claremont.edu SUMMARY:Combinatorics and representation theory of Temperley-Lieb algebras (Zajj Daugherty\, CUNY) DESCRIPTION:The classical\, one-boundary\, and two-boundary Temperley-Lieb algebras arise in mathematical physics related to solving certain rectangular lattice models.They also have beautiful presentations as “diagram algebras”\, meaning that they have basis elements depicted as certain kinds of graphs\, and multiplication rules are given by stacking diagrams and gluing of vertices. In this talk\, we will explore these algebras and their representation theory\, as well as their relationship to other important diagram algebras in combinatorial representation theory. URL:https://colleges.claremont.edu/ccms/event/anct-seminar-zajj-daugherty-cuny/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190924T121500 DTEND;TZID=America/Los_Angeles:20190924T131000 DTSTAMP:20260418T213002 CREATED:20190813T023810Z LAST-MODIFIED:20190917T034004Z UID:1360-1569327300-1569330600@colleges.claremont.edu SUMMARY:Adinkras: Snapshots of Supersymmetry (Jordan Kostiuk\, Brown University) DESCRIPTION:An “Adinkra” is a graphical tool to describe a branch of particle physics known as supersymmetry. Understanding the mathematics of Adinkras shines a light on the underlying physics\, as well as helps to explore new areas of mathematics. After describing the basic structure of Adinkras\, I will discuss some of these interesting interactions between mathematics and physics.This talk is intended for a general mathematics audience; undergraduate students are welcome. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-jordan-kostiuk-brown-university/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190917T121500 DTEND;TZID=America/Los_Angeles:20190917T131000 DTSTAMP:20260418T213002 CREATED:20190910T234527Z LAST-MODIFIED:20190912T055110Z UID:1520-1568722500-1568725800@colleges.claremont.edu SUMMARY:Introduction to theory of Euclid graphs (Sin-Min Lee\, SJSU) DESCRIPTION:In Euclidean geometry\, the sum of  two sides of any  triangle is greater than the third side. We  introduce this idea to labeling of graphs. A (p\,q)-graph G=(V\,E) is said to be in Euclid(0) if there exists a bijection f: V(G) –> {1\,…\,p} such that for each induced C3 subgraph with vertices {v1\,v2\,v3} with f(v1)f(v3) . \nFor k > 1\, G is in Euclid(k) class of graphs if there exits smallest k such that G U Nk in Euclid(0)\, where Nk is the null graph with k isolated points. We exhibit infinitely many graphs in Euclid(k) for each k. The talk is target to general audiences. Several open problems will posed for future research. The report is the joint work with several high school\, undergraduate students and researchers. URL:https://colleges.claremont.edu/ccms/event/antc-talk-sin-min-lee-sjsu/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190916T161500 DTEND;TZID=America/Los_Angeles:20190916T171500 DTSTAMP:20260418T213002 CREATED:20190719T151932Z LAST-MODIFIED:20190830T213728Z UID:1339-1568650500-1568654100@colleges.claremont.edu SUMMARY:Applied Math Seminar: A hybrid inverse problem in the fluorescence ultrasound modulated optical tomography given by Yimin Zhong (UCI) DESCRIPTION:We investigate a hybrid inverse problem in fluorescence ultrasound modulated optical tomography (fUMOT) in the diffusive regime. We prove that the boundary measurement of the\nphoton currents allows unique and stable reconstructions of the absorption coefficient of the fluorophores at the excitation frequency and the quantum efficiency coefficient simultaneously\, provided\nthat some background medium parameters are known. Reconstruction algorithms are proposed and\nnumerically implemented as well. URL:https://colleges.claremont.edu/ccms/event/yimin-zhong-uci/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190910T121500 DTEND;TZID=America/Los_Angeles:20190910T131000 DTSTAMP:20260418T213002 CREATED:20190522T000934Z LAST-MODIFIED:20190909T032954Z UID:1333-1568117700-1568121000@colleges.claremont.edu SUMMARY:Frobenius problem over number fields (Lenny Fukshansky\, CMC) DESCRIPTION:The classical Frobenius problem asks for the largest integer not representable as a non-negative integer linear combination of a relatively prime integer n-tuple. This problem and its various generalizations have been studied extensively in combinatorics\, number theory\, algebra\, theoretical computer science and probability theory. In this talk\, we will consider a reformulation of this problem in the context of number fields\, which leads to some arithmetic questions about semigroups of algebraic integers and height functions. This is joint work with CMC student Edward Shi. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-mauricio-gomez-lopez-univ-oregon/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190909T161500 DTEND;TZID=America/Los_Angeles:20190909T171500 DTSTAMP:20260418T213002 CREATED:20190722T184424Z LAST-MODIFIED:20190722T184424Z UID:1345-1568045700-1568049300@colleges.claremont.edu SUMMARY:Applied Math Seminar: Organizational meeting DESCRIPTION:As titled URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-organizational-meeting-2/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190506T161500 DTEND;TZID=America/Los_Angeles:20190506T171500 DTSTAMP:20260418T213002 CREATED:20190129T211242Z LAST-MODIFIED:20190419T064038Z UID:1181-1557159300-1557162900@colleges.claremont.edu SUMMARY:Applied math seminar: Topological descriptions of protein folding (Helen Wong\, CMC) DESCRIPTION:Knotting in proteins was once considered exceedingly rare.  However\, systematic analyses of solved protein structures over the last two decades have demonstrated the existence of many deeply knotted proteins\, and researchers now hypothesize that the knotting presents some functional or evolutionary advantage for those proteins. \n  \nUnfortunately\, there is very little known (whether experimentally\, through computer simulations\, or theoretically) about how proteins fold into knotted configurations.  In this talk\, we will discuss some of the theorized pathways from a topological point of view.  In particular\, we propose a new theoretical pathway for protein knotting and determine its feasibility for certain families of  proteins. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-helen-wong/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190429T161500 DTEND;TZID=America/Los_Angeles:20190429T171500 DTSTAMP:20260418T213002 CREATED:20190301T165215Z LAST-MODIFIED:20190419T000523Z UID:1244-1556554500-1556558100@colleges.claremont.edu SUMMARY:Applied Math Seminar: The Kaczmarz Algorithm and its Applications to Data Science (Anna Ma\, UCSD) DESCRIPTION:Data is exploding at a faster rate than computer architectures can handle. For that reason\, mathematical techniques to analyze large-scale data need be developed. Stochastic iterative algorithms have gained interest due to their low memory footprint and adaptability for large-scale data. In this talk\, we will study the Randomized Kaczmarz algorithm for solving extremely large linear systems of the form Ax=y. In the spirit of large-scale data\, this talk will proceed under the assumption that the entire data matrix A cannot be loaded into memory in a single instance. We consider different settings including when a only factorization of A is available\, when x is sparse\, and a time-varying model. We will also present applications of these Kaczmarz variants to problems in data science. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-give-by-anna-ma-ucsd/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190422T161500 DTEND;TZID=America/Los_Angeles:20190422T171500 DTSTAMP:20260418T213002 CREATED:20190413T180615Z LAST-MODIFIED:20190417T181832Z UID:1302-1555949700-1555953300@colleges.claremont.edu SUMMARY:Applied Math Talk: Nonlocal problems for linear evolution equations (Prof. Smith David Andrew\, Yale-NUS College\, Singapore) DESCRIPTION:Linear evolution equations\, such as the heat equation\, are commonly studied on finite spatial domains via initial-boundary value problems. In place of the boundary conditions\, we consider “multipoint conditions”\, where one specifies some linear combination of the solution and its derivative evaluated at internal points of the spatial domain\, and “nonlocal” specification of the integral over space of the solution against some continuous weight. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-nonlocal-problems-for-linear-evolution-equations-prof-smith-david-andrew/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190415T161500 DTEND;TZID=America/Los_Angeles:20190415T171500 DTSTAMP:20260418T213002 CREATED:20190130T213705Z LAST-MODIFIED:20190409T033118Z UID:1188-1555344900-1555348500@colleges.claremont.edu SUMMARY:Applied Math Talk: Solving Complex Public Health Problems—Cancer\, Obesity and Aging (Jessica Dehart\, CGU) DESCRIPTION:Abstract: Remember smoking? What’s the new public health problem? In the US\, we are currently entangled within three converging and intertwined complex problems: Cancer\, Obesity\, Aging. There are over 16 million cancer survivors living in the US as we speak. Over 50% of our society is overweight and/obese. Our society is aging and the age distribution is much older than a few years back. Cancer\, obesity and aging share several risk factors\, biological mechanisms and patterns. Given the multidimensionality and complexity of these issues\, only a transdisciplinary approach will have the best chances of success in sustaining a health society. This talk will discuss the problems and potential transdisciplinary approaches—including math—to finding successful solutions. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-jessica-dehart-cgu/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190408T161500 DTEND;TZID=America/Los_Angeles:20190408T171500 DTSTAMP:20260418T213002 CREATED:20190311T221343Z LAST-MODIFIED:20190401T035013Z UID:1271-1554740100-1554743700@colleges.claremont.edu SUMMARY:Models of Biological Tissue Electrostatics and Molecular Transport (Jim Sterling\, KGI) DESCRIPTION:In this presentation\, some fundamentals of electrostatics in biology will be discussed with focus on the fact that most biological macromolecules including nucleic acids\, carbohydrates\, and proteins are negatively-charged. Electroneutrality requires cations to move toward the macromolecules where they both screen and bind to the negatively-charged groups. An important class of mathematical models of species-flux and electrostatics are known as the Poisson-Nernst-Planck\, or PNP equations. These are partial differential equations describing some important biophysical consequences. URL:https://colleges.claremont.edu/ccms/event/models-of-biological-tissue-electrostatics-and-molecular-transport-jim-sterling-kgi/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190401T161500 DTEND;TZID=America/Los_Angeles:20190401T171500 DTSTAMP:20260418T213002 CREATED:20190307T230118Z LAST-MODIFIED:20190312T223842Z UID:1265-1554135300-1554138900@colleges.claremont.edu SUMMARY:Applied Math Talk: Repurposing FDA-approved drugs as host-oriented therapies against infectious diseases (Prof. Mikhail Martchenko\, KGI) DESCRIPTION:The traditional method of treating most human diseases is to direct a therapy against targets in the host patient\, whereas conventional therapies against infectious diseases are directed against the pathogen. Unfortunately\, the efficacy of pathogen-oriented therapies and their ability to combat emerging threats such as genetically engineered and non-traditional pathogens and toxins have been limited by the occurrence of mutations that render pathogen targets resistant to countermeasures. Our work shows that host proteins that are exploited by pathogens (Host Proteins Exploited by Pathogens; HPEPs) contribute to the severity of exposure to pathogenic agents. We find that pathogens recruit HPEPs to bind to\, enter\, reproduce in\, exit from\, and kill host cells. Thus\, HPEPs are potential targets for therapies. This presentation will discuss examples of our drug discovery efforts to identify host-oriented therapies. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-repurposing-fda-approved-drugs-as-host-oriented-therapies-against-infectious-diseases-prof-mikhail-martchenko-kgi/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190311T161500 DTEND;TZID=America/Los_Angeles:20190311T171500 DTSTAMP:20260418T213002 CREATED:20190128T193212Z LAST-MODIFIED:20190128T213406Z UID:1177-1552320900-1552324500@colleges.claremont.edu SUMMARY:Applied Math Talk: Cluster analysis on covariance stationary ergodic processes and locally asymptotically self-similar processes (Nan Rao\, CGU) DESCRIPTION:We study the problems of clustering covariance stationary ergodic processes and locally asymptotically self-similar stochastic processes\, when the true number of clusters is priorly known. A new covariance-based dissimilarity measure is introduced\, from which efficient consistent clustering algorithms are obtained. As examples of application\, clustering  fractional Brownian motions and clustering multifractional Brownian motions are respectively performed to illustrate the asymptotic consistency of the proposed algorithms. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-nan-rao-cgu/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190304T161500 DTEND;TZID=America/Los_Angeles:20190304T171500 DTSTAMP:20260418T213002 CREATED:20190114T165544Z LAST-MODIFIED:20190225T075945Z UID:1088-1551716100-1551719700@colleges.claremont.edu SUMMARY:Applied Math Seminar: Fluid mechanics at the microscale (Prof. Amy Buchmann\, University of San Diego) DESCRIPTION:I will present mathematical and computational methods used to model interactions between a viscous fluid and elastic structures in biological processes. For example\, microfluidic devices carry very small volumes of liquid through channels and may be used to gain insight into many biological applications including drug delivery and development\, but mixing and pumping at this scale is difficult. Experimental work suggests that the flagella of bacteria may be used as motors in microfluidic devices\, and mathematical modeling can be used to further investigate this idea. Cilia self-organize forming a metachronal wave that propels the surrounding fluid. How this organization occurs is not well understood. Mathematical models can be used to study the role of hydrodynamic interactions in self-organization. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-amy-buchmann-ucsd/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190228T161500 DTEND;TZID=America/Los_Angeles:20190228T171500 DTSTAMP:20260418T213002 CREATED:20190121T190809Z LAST-MODIFIED:20190126T004351Z UID:1117-1551370500-1551374100@colleges.claremont.edu SUMMARY:Applied Math Seminar: Eulerian Approaches based on the Level Set Method for Visualizing Continuous Dynamical Systems (Shingyu Leung\, Department of Mathematics\, HKUST) DESCRIPTION:One very important concept in understanding a dynamical system is coherent structure. Such structure segments the domain into different regions with similar behavior according to a quantity. When we try to partition space-time into regions according to a Lagrangian quantity advected along with passive tracers\, such class of coherent structure is called the Lagrangian coherent structures (LCSs). Among many\, a simple definition of an LCS uses the finite-time Lyapunov exponent (FTLE). It measures the rate of separation between adjacent particles over a finite time interval with an infinitesimal perturbation in the initial location. In the talk\, we first present various Eulerian-based numerical methods which efficiently compute the flow maps of any continuous dynamical system and\, therefore\, the corresponding FTLE. Based on these techniques we developed\, we will also propose some other useful numerical tools for extracting important structures hidden in the system. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-shingyu-leung-department-of-mathematics-hkust/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190225T041500 DTEND;TZID=America/Los_Angeles:20190225T171500 DTSTAMP:20260418T213002 CREATED:20190129T230104Z LAST-MODIFIED:20190221T190447Z UID:1186-1551068100-1551114900@colleges.claremont.edu SUMMARY:Applied Math Seminar: Measurement Error Modeling using Empirical Phase Functions (Prof. Cornelis Potgieter\, Southern Methodist University) DESCRIPTION:Measurement error\, formally defined as the difference between the measured value and the true value of a quantity of interest\, is ubiquitous. When a doctor takes your blood pressure\, the instrumentation may not be properly calibrated and the reading is subject to error. When completing an online Harry Potter Sorting Hat quiz\, you may accidentally click the wrong option for a specific question and find yourself in House Slytherin!. The effect of measurement error is sometimes insignificant\, but there are instances where ignored measurement error can be rather consequential. You definitely do not want your doctor to put you on a long-term medication for managing high BP due to an erroneous measurement! \nIn this talk\, I will discuss two problems frequently encountered when measurement error is present in sampled data. The first of these is known as density deconvolution\, which involves estimating the density function of the population of interest. When measurement error is present\, a density function estimated from the sample will have inflated variance\, and interesting population features may be obscured. The second problem relates to regression modeling when the predictor variable is subject to measurement error. Here\, when using the contaminated data to estimate the regression model\, parameter estimates will be biased unless measurement error is properly adjusted for. I will show how the empirical phase functions\, a transformation of the sample data to the complex plane\, can be used to find solutions to both of these problems. \nOh\, and don’t worry too much about your doctor unnecessarily prescribing blood pressure medication. She is well aware that measurement error exists\, and will re-take the measurement\, and also perform other tests before making a diagnosis. Being sorted into House Slytherin though\, there you are on your own… URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-cornelis-potgieter/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190211T041500 DTEND;TZID=America/Los_Angeles:20190211T171500 DTSTAMP:20260418T213002 CREATED:20190129T225920Z LAST-MODIFIED:20190214T062202Z UID:1184-1549858500-1549905300@colleges.claremont.edu SUMMARY:Community structure in networks: the effect of communities on a preferential attachment model and epidemic spreading (Emily Fischer\, Cornell) DESCRIPTION:Online social networks and other networks of interest are known to exhibit community structure\, where a community is defined to be a highly interconnected group of nodes with possibly shared traits or features. However\, classic network models\, such as the preferential attachment model\, do not account for community structure. In this talk\, I will present the Community-Aware Preferential Attachment Model (CAPAM)\, which allows the user to specify community structure via edge probabilities. I will show that CAPAM retains desirable properties of the preferential attachment model\, namely a power-law degree distribution\, and further that the multivariate degree distribution is dependent upon the edge probabilities in an interesting way. I will show that community structure also plays a role in epidemic spreading processes. Under the SIS model\, the lifetime of a spreading process is constrained by the structure of the individual communities\, and the epidemic threshold is bounded closely around the threshold associated with the strongest community. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-emily-fisher/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190204T161500 DTEND;TZID=America/Los_Angeles:20190204T171500 DTSTAMP:20260418T213002 CREATED:20181008T181051Z LAST-MODIFIED:20190117T015941Z UID:895-1549296900-1549300500@colleges.claremont.edu SUMMARY:Estimating the physical location of Twitter users with the von Mises-Fisher distribution (Mike Izbicki\, UC Riverside) DESCRIPTION:Approximately 500 million tweets are sent everyday.  Scientists monitor these tweets to predict the spread of disease\, better allocate social welfare services\, help first responders during natural disasters\, and many other important tasks.  A key step in each of these tasks is estimating the location the tweet was sent from.  In\nthis talk\, I discuss how to combine machine learning and the von Mises-Fisher distribution to estimate this location.  The von Mises-Fisher distribution is the spherical analog of the Gaussian distribution\, and this distribution lets us exploit the earth’s non-Euclidean geometry to improve estimation accuracy. URL:https://colleges.claremont.edu/ccms/event/tba-mike-izbicki-uc-riverside/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190128T161500 DTEND;TZID=America/Los_Angeles:20190128T171500 DTSTAMP:20260418T213002 CREATED:20190109T192745Z LAST-MODIFIED:20190117T020332Z UID:996-1548692100-1548695700@colleges.claremont.edu SUMMARY:Applied Math Seminar Organizational Meeting DESCRIPTION:We will have an organizational meeting for the applied math seminar at 4:15pm in Emmy Noether Rm\, Millikan 1021\, Pomona on 1/28  (Monday). Anyone who in interested in suggesting speakers and/or organizing applied math seminar is welcome to come.  URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-organizational-meeting/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20181210T161500 DTEND;TZID=America/Los_Angeles:20181210T171500 DTSTAMP:20260418T213002 CREATED:20180921T221142Z LAST-MODIFIED:20181116T192815Z UID:562-1544458500-1544462100@colleges.claremont.edu SUMMARY:Transfinite $\zeta$-metrics (Zair Ibragimov\, CMC) DESCRIPTION:I will discuss the concept of transfinite ζ-metrics. In some details I will discuss transfinite Apollonian metric in the settings of semi-metric spaces. I will discuss specific examples of domains where the transfinite Apollonian metric can be computed explicitly. This is a preliminary work. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-ibragimov-zair-cmc/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20181203T161500 DTEND;TZID=America/Los_Angeles:20181203T171500 DTSTAMP:20260418T213002 CREATED:20180921T215624Z LAST-MODIFIED:20181106T161858Z UID:560-1543853700-1543857300@colleges.claremont.edu SUMMARY:A Martingale Approach to the Question of Fiscal Stimulus (Michael Imerman\, CGU) DESCRIPTION:Joint work with Larry Shepp & Philip Ernst \nIn this paper we develop a mathematical model to address an ongoing politico-economic debate between Democrats and Republicans. Democrats in the US say that government spending can be used to “grease the wheels’ of the economy\, create wealth\, and increase employment; the Republicans say that government spending is wasteful\, discourages investment\, and so increases unemployment. These arguments cannot both be correct\, but both arguments seem meritorious. We address this economic question of fiscal stimulus as a new optimal control problem extending the model of Radner-Shepp (1996). A unique solution is found using traditional martingale methods for stochastic optimization along with a numerical procedure to solve a non-homogeneous ODE as the root of an implicit function. Specifically\, we find that there exists an optimal strategy with interesting mathematical properties. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-michael-imerman-cgu/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20181126T161500 DTEND;TZID=America/Los_Angeles:20181126T171500 DTSTAMP:20260418T213002 CREATED:20181124T043635Z LAST-MODIFIED:20181124T043635Z UID:958-1543248900-1543252500@colleges.claremont.edu SUMMARY:A renormalization approach to existence of the blow-up solutions of the Navier-Stokes equations (Denis Gaidashev\, Uppsala University\, Sweden) DESCRIPTION:The Navier-Stokes existence and smoothness problem is one of the most important open problems in modern mathematics.   Ya. Sinai and D. Li have proposed a renormalization approach to constructing a counter-example to existence. In this approach\, existence of  a blow-up solution (a solution whose energy becomes infinite in finite time) is equivalent to existence of fixed point of an appropriate operator in some functional space.  We will explain a computer assited technique which can be conjecturally used to prove existence of such a fixed point for 3D NS equations\, and describe our numerical evidence for a fixed point in the setting of a 1D version of NS. URL:https://colleges.claremont.edu/ccms/event/a-renormalization-approach-to-existence-of-the-blow-up-solutions-of-the-navier-stokes-equations-denis-gaidashev-uppsala-university-sweden/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20181119T161500 DTEND;TZID=America/Los_Angeles:20181119T171500 DTSTAMP:20260418T213002 CREATED:20180808T225017Z LAST-MODIFIED:20181109T020610Z UID:422-1542644100-1542647700@colleges.claremont.edu SUMMARY:Turing mechanism for homeostatic control of synaptic density during C. elegans growth (Heather Zinn Brooks\, UCLA) DESCRIPTION:It has been observed that motor neuron synapses in the worm C. elegans are remarkably evenly spaced\, even during growth and development. In this work\, we propose a novel mechanism for Turing pattern formation that provides a possible explanation for the regular spacing of synapses along the ventral cord of C. elegans during development. The model consists of two interacting chemical species\, where one is passively diffusing and the other is actively trafficked by molecular motors; we identify the former as the kinase CaMKII and the latter as the glutamate receptor GLR-1. We use linear stability analysis to derive conditions on the associated nonlinear interaction functions for which a Turing instability can occur. We find that the dimensionless quantity $\gamma$\, the ratio of switching rate and diffusion coefficient to motor transport velocity\, must be sufficiently small for patterns to emerge. One consequence is that patterns emerge outside the parameter regime of fast switching where the model effectively reduces to a two component reaction-diffusion system. Furthermore\, these patterns are also maintained during domain growth. We discuss selection and stability of patterns for this mechanism in both 1- and 2-dimensional domains. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-dr-heather-zinn-brooks-ucla/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20181112T161500 DTEND;TZID=America/Los_Angeles:20181112T171500 DTSTAMP:20260418T213002 CREATED:20180910T183619Z LAST-MODIFIED:20181101T041237Z UID:523-1542039300-1542042900@colleges.claremont.edu SUMMARY:Digital sequences for frequency hopping CDMA systems (Lenny Fukshansky\, CMC) DESCRIPTION:Frequency hopping is a method of transmitting signals by rapidly switching between many frequency channels\, following some sequence of frequencies known to the transmitter and the receiver. This technique is used in the CDMA (code division multiple access) systems\, and has many civilian and military applications. For successful transmission minimizing signal interference\, we want to use sets of digital frequency sequences with minimal Hamming cross-correlation\, which measures frequency overlaps with time shifts between two different sequences. We discuss a construction of a new family of one-coincidence sequences like this coming from some basic arithmetic of finite fields\, which have some nice properties. This is joint work with Adib Shaar\, and this talk is dedicated to his memory. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-lenny-fukshansky/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20181105T161500 DTEND;TZID=America/Los_Angeles:20181105T171500 DTSTAMP:20260418T213002 CREATED:20180808T152839Z LAST-MODIFIED:20181021T054250Z UID:416-1541434500-1541438100@colleges.claremont.edu SUMMARY:CFTP: the algorithm ERGM deserves\, but not the one it needs right now (Matt Moores\, University of Wollongong) DESCRIPTION:The exchange algorithm enables Bayesian posterior inference for models with intractable likelihoods\, such as Ising\, Potts\, or exponential random graph models (ERGM). Crucially\, this algorithm relies on an auxiliary Markov chain to obtain an unbiased sample from the generative distribution of the model.             It was originally proposed to use coupling from the past (CFTP) for this purpose\, but this requires the Markov chain to be uniformly ergodic. In the case of the Ising model\, coupling time increases super-exponentially for parameter values larger than the critical point. Alternatives to CFTP\, such as perfect slice sampling or bounding chains for Swendsen-Wang\, have been proposed for the Ising model. However\, there are currently no suitable alternatives for ERGM\, which also features a phase transition that can cause problems with convergence. This talk will review some recent work on simulation algorithms for ERGM and discuss how this problem might be addressed.\n\nThis is joint work with Kerrie Mengersen and Chris Drovandi (QUT\, Australia)\, Antonietta Mira (USI Lugano\, Switzerland)\, and Alberto Caimo (Dublin Inst. Tech.\, Ireland). URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-talk-title-tba/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT END:VCALENDAR