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DTSTART:20070311T020000
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DTSTAMP:20250206T152941
DTSTART;TZID=America/Detroit:20250219T160000
DTEND;TZID=America/Detroit:20250219T170000
SUMMARY:Workshop / Seminar:Uniform-in-Time Convergence Rates for Mean-Field Interacting Jump Processes
DESCRIPTION:We study a system of $N$ particles interacting through their empirical distribution on a finite state space in continuous time. Formally\, in the limit as $N\to\infty$\, the system takes the form of a nonlinear (McKean-Vlasov) Markov chain\, and we rigorously establish this limit. Specifically\, under the assumption that the mean field system has a unique\, exponentially stable stationary distribution\, we show that the weak error between the empirical measures of the $N$-particle system and the law of the mean field system is of order $1/N$ uniformly in time. Our analysis makes use of a master equation for test functions evaluated along the measure flow of the mean field system\, and we demonstrate that the solutions of this master equation are sufficiently regular. We then show that exponential stability of the mean field system is implied by exponential stability of solutions to the linearized Kolmogorov equation with a source term. We apply our results to study the convergence of large population games to mean field games and give a new condition for the existence of a unique\, exponentially stable stationary distribution for a nonlinear Markov chain.
UID:128953-21861939@events.umich.edu
URL:https://events.umich.edu/event/128953
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1360
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20250217T181555
DTSTART;TZID=America/Detroit:20250219T160000
SUMMARY:Sporting Event:Women's Lacrosse vs Central Michigan
DESCRIPTION:Women's Lacrosse vs Central Michigan
UID:131706-21869070@events.umich.edu
URL:https://events.umich.edu/event/131706
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Athletics - Women's Lacrosse,Athletics
LOCATION:U-M Lacrosse Stadium
CONTACT:
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20260327T131844
DTSTART;TZID=America/Detroit:20250219T163000
DTEND;TZID=America/Detroit:20250219T173000
SUMMARY:Social / Informal Gathering:Pizza with the Psychology Professors!
DESCRIPTION:Are you an interested or declared student in Psych or BCN? Then you're invited! Join Psychology professors in a casual setting to socialize\, network\, and get to know each other better. And of course\, there will be pizza! Bring your questions\, and we hope to see you there!\n\nPlease RSVP on Sessions by 2/12: https://sessions.studentlife.umich.edu/p/track/9654
UID:110035-21867227@events.umich.edu
URL:https://events.umich.edu/event/110035
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Networking,Psychology,Psychology Major,Sessions,Undergraduate Students,Biopsychology\, Cognition\, And Neuroscience (Bcn),Faculty
LOCATION:Weiser Hall - 10th Floor
CONTACT:
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