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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20181105T161500
DTEND;TZID=America/Los_Angeles:20181105T171500
DTSTAMP:20260411T172107
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
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181108T161500
DTEND;TZID=America/Los_Angeles:20181108T171500
DTSTAMP:20260411T172107
CREATED:20181101T220906Z
LAST-MODIFIED:20181102T043346Z
UID:930-1541693700-1541697300@colleges.claremont.edu
SUMMARY:Crossing the Threshold: The Role of Demographic Stochasticity in the Evolution of Cooperation (Tom LoFaro\, Gustavus Adolphus College)
DESCRIPTION:When Charles Darwin began writing “On the Origin of Species” he knew that explaining cooperative behavior in the context of “survival of the fittest” was problematic.  In fact\, this apparent contradiction puzzled ecologists for many years after.  In this talk we will discuss a mathematical model of the evolution of cooperation developed by Doebeli\, Blarer\, and Ackermann that incorporates ideas from game theory into a standard population genetics model.  We will show that if the model is viewed deterministically then cooperative behavior cannot spread from rarity.  However\, if birth rates are stochastic then cooperative behavior might spread.  We will explore why this is so and describe conditions that increase the probability that cooperative behavior will become established.
URL:https://colleges.claremont.edu/ccms/event/crossing-the-threshold-the-role-of-demographic-stochasticity-in-the-evolution-of-cooperation-tom-lofaro-gustavus-adolphus-college/
LOCATION:Shanahan 3465\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181112T161500
DTEND;TZID=America/Los_Angeles:20181112T171500
DTSTAMP:20260411T172107
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
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181119T161500
DTEND;TZID=America/Los_Angeles:20181119T171500
DTSTAMP:20260411T172107
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
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181126T161500
DTEND;TZID=America/Los_Angeles:20181126T171500
DTSTAMP:20260411T172107
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
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