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DTSTART;TZID=America/Los_Angeles:20260923T161500
DTEND;TZID=America/Los_Angeles:20260923T171500
DTSTAMP:20260921T164909Z
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UID:10002336-1790180100-1790183700@colleges.claremont.edu
SUMMARY:CCMS Colloquium: The Stochastic Logistic Map: Theory and Applications — Kimberly Ayers (CSU San Marcos)
DESCRIPTION:Flyer for Kim’s talk. \nAbstract: The logistic map is one of the most famous examples in dynamical systems. Originally introduced as a simple model of population growth\, it exhibits a surprisingly rich range of behavior: as a single parameter varies\, stable equilibria give way to periodic orbits and eventually to chaos. But in real populations\, quantities such as reproductive and death rates are unlikely to remain constant over time. What happens when we allow this parameter to vary randomly from one generation to the next? \nIn this talk\, we explore a stochastic version of the logistic map in which the parameter is chosen randomly at each iteration. Introducing randomness changes the questions we ask: rather than studying individual fixed points or periodic orbits\, we investigate probability distributions that describe the long-term behavior of the system. We will see how tools from dynamical systems and Markov processes can be used to show that\, under appropriate conditions\, the stochastic system settles into a unique long-term statistical behavior that is independent of its initial state. We conclude with simulations illustrating this invariant distribution and discuss several questions about how the system’s behavior changes as the amount and type of randomness vary. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-the-stochastic-logistic-map-theory-and-applications-kimberly-ayers-csu-san-marcos/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
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DTSTART;TZID=America/Los_Angeles:20260916T161500
DTEND;TZID=America/Los_Angeles:20260916T171500
DTSTAMP:20260913T213353Z
CREATED:20260913T213353Z
LAST-MODIFIED:20260913T213353Z
UID:10002328-1789575300-1789578900@colleges.claremont.edu
SUMMARY:Edge Ideals via Independence Polynomials of Graphs — Dalena Vien (Bryn Mawr)
DESCRIPTION:Abstract: Edge ideals of graphs provide a fertile ground for uncovering combinatorial expressions for algebraic invariants of squarefree monomial ideals. Many algebraic invariants of these edge ideals directly reflect combinatorial properties of their underlying graphs. In this talk\, I will discuss how the independence polynomial \(P_G(x)\)\, the generating function for independent sets of a graph \(G\)\, encodes surprisingly rich information about the Hilbert series of the corresponding edge ideal \(I(G)\). In particular\, I will explain how \(P_G(x)\) determines both the top coefficient and degree of the \(h\)-polynomial. I will then demonstrate the results through familiar examples and a simple suspension construction that lets us track these invariants cleanly. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/edge-ideals-via-independence-polynomials-of-graphs-dalena-vien-bryn-mawr/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
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DTSTART;TZID=America/Los_Angeles:20260909T161500
DTEND;TZID=America/Los_Angeles:20260909T173000
DTSTAMP:20260903T024403Z
CREATED:20260902T221601Z
LAST-MODIFIED:20260903T024403Z
UID:10002238-1788970500-1788975000@colleges.claremont.edu
SUMMARY:Fall 2026 Research Poster Session
DESCRIPTION:This poster session is meant to showcase undergraduate and graduate work in the mathematical sciences\, broadly interpreted\, in a supportive environment. \nThe poster session will take place at Claremont Graduate University at The Drucker Institute\, 1021 N Dartmouth Ave from 4:15pm – 5:30pm\, on Wednesday September 9th\, 2026. \n  \nRefreshments will be provided! For any questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu)
URL:https://colleges.claremont.edu/ccms/event/fall-2026-research-poster-session/
LOCATION:The Drucker Institute\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
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