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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20260302T161500
DTEND;TZID=America/Los_Angeles:20260302T171500
DTSTAMP:20260405T194555
CREATED:20260224T233444Z
LAST-MODIFIED:20260224T233444Z
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SUMMARY:Structure-Preserving Discretizations for Fokker–Planck Equations via the Energy Dissipation Law (Satish Chandran\, UCR)
DESCRIPTION:Abstract: We present a new approach for deriving structure-preserving numerical discretizations of Fokker-Planck equations by establishing a connection between the Fokker-Planck equation and its semi-discrete master equation at the level of the energy-dissipation law. We determine the transition rate in the master equation via the detailed balance condition and the spatial discretization of the continuous energy-dissipation law. This approach ensures that the semi-discrete master equation satisfies the detailed balance condition and converges to the correct equilibrium. In addition to recovering existing transition rates proposed in earlier works\, our framework uncovers new transition rates that have not been discussed in the current literature. This work is joint with Dr. Yiwei Wang (UCR).
URL:https://colleges.claremont.edu/ccms/event/structure-preserving-discretizations-for-fokker-planck-equations-via-the-energy-dissipation-law-satish-chandran-ucr/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
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DTSTART;TZID=America/Los_Angeles:20260303T121500
DTEND;TZID=America/Los_Angeles:20260303T131000
DTSTAMP:20260405T194555
CREATED:20260302T023221Z
LAST-MODIFIED:20260302T023221Z
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SUMMARY:On a new version of Siegel’s lemma  (Lenny Fukshansky\, CMC)
DESCRIPTION:The classical Siegel’s lemma (1929) asserts the existence of a nontrivial integer solution to an underdetermined integer homogeneous linear system\, whose “size” is small as compared to the size of the coefficients of the system. Far-reaching generalizations of this theorem\, producing a full basis for the solution space\, were obtained over number fields by Bombieri & Vaaler (1983)\, and over the field of algebraic numbers by Roy & Thunder (1996)\, where the “size” was measured by a height function. We obtain a new version of Siegel’s lemma\, bridging the Bombieri & Vaaler and Roy & Thunder results in two ways: (1) our basis lies over a fixed number field as in Bombieri & Vaaler’s theorem; (2) our height-bound does not depend on the number field in question as in Roy & Thunder’s theorem. Our result does not imply the previously established ones and is not implied by them\, and our basis has some additional interesting properties. Our method is quite different from the previous ones\, using only linear algebra. Joint work with Max Forst.
URL:https://colleges.claremont.edu/ccms/event/on-a-new-version-of-siegels-lemma-lenny-fukshansky-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20260306T110000
DTEND;TZID=America/Los_Angeles:20260306T121500
DTSTAMP:20260405T194555
CREATED:20260110T234502Z
LAST-MODIFIED:20260304T161508Z
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SUMMARY:CCMS Colloquium: Lihong Zhao (Kennesaw State University)
DESCRIPTION:CCMS Colloquium invites you to a talk by Lihong Zhao (Kennesaw State University)\n\n \nTitle: Capturing heterogeneity in malaria transmission: an age-structured model with immune feedback and seasonality\n \nAbstract: Malaria remains a major global health burden\, causing more than 600\,000 deaths and over 249 million cases globally each year. Heterogeneity in malaria transmission is a critical factor that influences the dynamics of disease emergence and the effectiveness of possible control strategies. In this talk\, I will present an age-structured model that couples vector-host epidemiological dynamics with immune feedback and how we use it to characterize seasonal malaria transmission and assess the impact of vaccination strategies. We also extend this model to explore how different mobility patterns and immunity profiles interact to impact the risk of severe infection and prevalence.\n \nBio: Dr. Lihong Zhao is an Assistant Professor of Mathematics at Kennesaw State University (KSU). Prior to her position at KSU\, she was a Visiting Assistant Professor in the Department of Mathematics at Virginia Tech and an NSF DIRAC-RTG postdoctoral fellow in the Department of Applied Mathematics at the University of California\, Merced. She develops and analyzes mathematical and computational models to examine questions in life sciences. Most of her work focuses on infectious disease epidemiology and ecology.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-lihong-zhao-kennesaw-state-university/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
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DTSTART;TZID=America/Los_Angeles:20260307T100000
DTEND;TZID=America/Los_Angeles:20260307T115500
DTSTAMP:20260405T194555
CREATED:20260207T052658Z
LAST-MODIFIED:20260307T001548Z
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SUMMARY:GEMS March 7th Session
DESCRIPTION:This GEMS session will be facilitated by Robbie Tran from Claremont Graduate University.\n\n\nTitle: Formulating Equations as a Medium for Digital Art and Design\n\n\nAbstract: \nAs we can utilize letters and words to write out mathematics (e.g. 2+2=4 can be written as “two plus two is equal to four”)\, this session seeks to explore the near reverse: how can we use mathematics to some extent graph letters and words? Rather\, could we formulate equations of curves that visually resemble text on a 2D-plane? If we include both conventional and nonconventional shapes too\, this question is not only an interesting curiosity\, but a question whose answer is quite prevalent in programs for computer graphics\, animation\, digital art\, and font design!\n\nWe will approach this question by highlighting and constructing Bézier curves\, which can approximate smooth curves by control (anchor) points on the plane. Furthermore\, this session will showcase the mathematics of these curves\, covering polynomials\, linear interpolation\, and parametrization (no prior knowledge assumed). Ultimately\, we will simulate how graphs of Bézier curves can be drawn for various letters and shapes by applying a recursive method called de Casteljau’s algorithm. Join us to explore an example of how mathematics can serve as a gateway to art and design!
URL:https://colleges.claremont.edu/ccms/event/gems-march-7th-session/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
ORGANIZER;CN="Teal Witter":MAILTO:raylen.witter@claremontmckenna.edu
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