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DTSTART;TZID=America/Los_Angeles:20190429T161500
DTEND;TZID=America/Los_Angeles:20190429T171500
DTSTAMP:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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:20260421T115802
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
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181029T161500
DTEND;TZID=America/Los_Angeles:20181029T171500
DTSTAMP:20260421T115802
CREATED:20180910T073543Z
LAST-MODIFIED:20181016T222630Z
UID:520-1540829700-1540833300@colleges.claremont.edu
SUMMARY:Minimal Gaussian Partitions\, Clustering Hardness and Voting (Steven Heilman\, USC)
DESCRIPTION:A single soap bubble has a spherical shape since it minimizes its surface area subject to a fixed enclosed volume of air.  When two soap bubbles collide\, they form a “double-bubble” composed of three spherical caps.  The double-bubble minimizes total surface area among all sets enclosing two fixed volumes.  This was proven mathematically in a landmark result by Hutchings-Morgan-Ritore-Ros and Reichardt using the calculus of variations in the early 2000s.  The analogous case of three or more Euclidean sets is considered difficult if not impossible.  However\, if we replace Lebesgue measure in these problems with the Gaussian measure\, then recent work of myself (for 3 sets) and of Milman-Neeman (for any number of sets) can actually solve these problems.  We also use the calculus of variations.  We will discuss applications of this Gaussian “multi-bubble” problem to optimal clustering of data and to designing elections that are resilient to hacking.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-steven-heilman/
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:20181015T161500
DTEND;TZID=America/Los_Angeles:20181015T171500
DTSTAMP:20260421T115802
CREATED:20180911T004755Z
LAST-MODIFIED:20180927T002145Z
UID:525-1539620100-1539623700@colleges.claremont.edu
SUMMARY:Agent-Based and Continuous Models of Locust Hopper Bands: The Role of Intermittent Motion\, Alignment\, Attraction and Repulsion (Andrew J. Bernoff\, HMC)
DESCRIPTION:Locust swarms pose a major threat to agriculture\, notably in northern Africa and the Middle East. In the early stages of aggregation\, locusts form hopper bands. These are coordinated groups that march in columnar structures that are often kilometers long and may contain millions of individuals. We propose a model for the formation of locust hopper bands that incorporates intermittent motion\, alignment with neighbors\, and social attraction\, all behaviors that have been validated in experiments. Using a particle-in-cell computational method\, we simulate swarms of up to a million individuals\, which is several orders of magnitude larger than what has previously appeared in the locust modeling literature. We observe hopper bands in this model forming as a fingering instability. Our model also allows homogenization to yield a system of partial integro-differential evolution equations. We identify a bifurcation from a uniform marching state to columnar structures\, suggestive of the formation of hopper bands.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-andrew-j-bernoff-hmc/
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:20180917T161500
DTEND;TZID=America/Los_Angeles:20180917T171500
DTSTAMP:20260421T115802
CREATED:20180828T201223Z
LAST-MODIFIED:20180926T235724Z
UID:481-1537200900-1537204500@colleges.claremont.edu
SUMMARY:Diffusion\, Social Networks\, and Logic (Pavel Naumov\, CMC)
DESCRIPTION:Once a new commercial product\, technology\, political opinion\, or social norm is adopted by a few people\, these few often put peer pressure on others to consider adopting it as well. Those who adopt next put even more pressure on the rest of the population. This cascading “epidemic” effect is often called diffusion in social networks. There are many natural questions that can be asked about diffusion. Which initial group of people should get “infected” by a new product to ensure its adoption by the largest possible group? Which group should be convinced that an idea is bad\, in order to avoid its wide spread? How does marketing affect the diffusion? In this talk I will introduce the most commonly used mathematical model of diffusion and talk about several of my papers on logical systems that capture properties of this model.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-pavel-naumov-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:20180910T161500
DTEND;TZID=America/Los_Angeles:20180910T171500
DTSTAMP:20260421T115802
CREATED:20180828T000627Z
LAST-MODIFIED:20180828T000954Z
UID:473-1536596100-1536599700@colleges.claremont.edu
SUMMARY:Applied math organizational meeting
DESCRIPTION:We will have an organizational meeting for the applied math seminar today. Anyone who is interested in suggesting speakers and/or organizing applied math seminar is welcome to come. 
URL:https://colleges.claremont.edu/ccms/event/applied-math-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
END:VCALENDAR