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DTSTART;TZID=America/Los_Angeles:20221003T161500
DTEND;TZID=America/Los_Angeles:20221003T171500
DTSTAMP:20260502T135434
CREATED:20220909T225108Z
LAST-MODIFIED:20220929T215943Z
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SUMMARY:Applied Math Seminar: Harlin Lee (UCLA)
DESCRIPTION:Title: Understanding scientific fields with network analysis and topic modeling\n\nAbstract: As scientific disciplines get larger\, it becomes impossible for an individual researcher to be familiar with the entire body of literature\, which forces them to specialize in a sub-field. Such insulation can hinder the birth of ideas that arise from new connections\, eventually slowing down scientific progress. As such\, discovering fruitful interdisciplinary connections by analyzing scientific publications is an important problem in the science of science. This talk will present several past and ongoing projects in answering that question using tools from network analysis and topic modeling: 1) a dynamic-embedding-based method for link prediction in a machine learning semantic network\, where the nodes are concepts in machine learning\, and the time-stamped edges indicate co-occurrence in scientific papers\, and 2) finding communities in cognitive science that study similar topics but do not cite each other or publish in the same venues.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-harlin-lee-ucla/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221010T161500
DTEND;TZID=America/Los_Angeles:20221010T171500
DTSTAMP:20260502T135434
CREATED:20220909T224751Z
LAST-MODIFIED:20220929T215737Z
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SUMMARY:Applied Math Seminar: Adam Waterbury (UCSB)
DESCRIPTION:Title: Approximating Quasi-Stationary Distributions with Interacting Reinforced Markov Chains\n\nAbstract: An important question in ecology is what conditions must be met for a population of interacting species to coexist. In realistic models of such populations\, after a large enough amount of time has passed\, one or more of the species are sure to face extinction. However\, the time that it takes for extinction to occur can be quite large\, so it is natural to consider whether the population can sustain any long-term coexistence before any of the species are extinct. This metastability is captured in the notion of a quasi-stationary distribution (QSD). However\, calculating the QSD of such a system can be numerically difficult\, as it amounts to solving a system of nonlinear equations\, which has led to a wide range of simulation-based methods that can be used to efficiently approximate QSD. In the first part of this talk I introduce two new simulation-based methods for approximating QSD that are described in terms of a large collection of interacting particles known as reinforced Markov chains. In the second part of this talk I discuss some related work studying the rare-event asymptotics of a related class of reinforced Markov chains.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-adam-waterbury-ucsb/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221024T161500
DTEND;TZID=America/Los_Angeles:20221024T171500
DTSTAMP:20260502T135434
CREATED:20220929T220052Z
LAST-MODIFIED:20220929T220052Z
UID:2818-1666628100-1666631700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Susan Friedlander (USC)
DESCRIPTION:Title: Kolmogorov\, Onsager and a Dyadic Model for Turbulence \nAbstract: We will briefly review Kolmogorov’s ( 41) theory of homogeneous turbulence\nand Onsager’s ( 49 ) conjecture that in 3-dimensional turbulent flows energy\ndissipation might exist even in the limit of vanishing viscosity. \nAlthough over the past 70 years there is a vast body of literature related to this subject\,\nat present there is no rigorous mathematical proof that the solutions to the Navier-Stokes\nequations yield Kolmogorov’s laws. For this reason various models have been introduced\nthat are more tractable but capture some of the essential features of the Navier-Stokes\nequations themselves. We will discuss one such dyadic model for turbulent energy cascades.\nWe will describe how results can be used to prove this dyadic model is consistent with\nKolmogorov’s theory and Onsager’s conjecture. \nAspects of the work are joint with Alexey Cheskidov\, Nathan Glatt-Holtz\, Roman Shvydkoy\, and Vlad Vicol.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-susan-friedlander-usc/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221031T161500
DTEND;TZID=America/Los_Angeles:20221031T171500
DTSTAMP:20260502T135434
CREATED:20220909T224518Z
LAST-MODIFIED:20221026T145641Z
UID:2849-1667232900-1667236500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Anna Nelson (Duke)
DESCRIPTION:Title: Mathematical modeling of polymerization processes in physiology\n\nAbstract: Polymerization\, or aggregation\, is essential for many physiological systems. For example\, the emergence of a fibrin polymer mesh during the formation of a blood clot is required for a stable clot and long-term\, sustained intracellular transport in neurons rely on persistent yet dynamic polymers that comprise the microtubule cytoskeleton. In the first part of the talk\, I will discuss a kinetic polymerization model that represents the formation of a fibrin polymer mesh with interactions with its precursor molecule\, fibrinogen. With this model\, we investigate how fibrin-fibrinogen interactions can impact gel structure (such as concentration of branch points) and gel time. In the second part\, I will introduce a stochastic mathematical model of individual microtubule growth and catastrophe in the dendrite of a neuron. Using parameters informed by experimental data\, we explore what mechanisms could control the equilibrium microtubule length and validate these mechanisms using fluorescence microscopy data.  \n\n 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-anna-nelson-duke/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
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