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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Mark Rychnovsky\, Columbia University\n\nAbstract: Sticky Brown
ian motions behave as independent Brownian motions when they are separated
and interact when they touch\, so that the coincidence time has positive Le
besgue measure with positive probability. For a specific sticky interaction
we show that as the number of particles\, and the time the particles are a
llowed to evolve are simultaneously sent to infinity\, the fluctuations of
the extremal particle are given by the GUE Tracy-Widom distribution. The pr
oof involves realizing a specific sticky interaction as the limit of an exa
ctly solvable statistical mechanics model\, the Beta random walk in random
environment\, and using this to derive exact integral formulas.\n\nThis is
joint work with Guillaume Barraquand.
DTEND:20210430T233000Z
DTSTAMP:20240622T185108Z
DTSTART:20210430T223000Z
LOCATION:
SEQUENCE:0
SUMMARY:Probability and Statistics Seminar: Extreme particles for sticky Br
ownian motions
UID:tag:localist.com\,2008:EventInstance_36537258575158
URL:https://calendar.usc.edu/event/probability_and_statistics_seminar_extre
me_particles_for_sticky_brownian_motions
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