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UID:DSC-22960
DTSTART;TZID=Europe/Berlin:20260626T140000
SEQUENCE:1782452366
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20260626T160000
URL:https://dresden-science-calendar.org/calendar/en/detail/22960
LOCATION:MPI-CBG\, Pfotenhauerstraße 10801307 Dresden
SUMMARY:Engel: Random attractors on countable state spaces
CLASS:PUBLIC
DESCRIPTION:Speaker: Maximilian Engel\nInstitute of Speaker: University of 
 Amsterdam\nTopics:\n\n Location:\n  Name: MPI-CBG (MPI-CBG CSBD SR Ground 
 Floor (VC))\n  Street: Pfotenhauerstraße 108\n  City: 01307 Dresden\n  Ph
 one: +49 351 210-0\n  Fax: +49 351 210-2000\nDescription: I will describe 
 the synchronization behavior of discrete-time Markov chains on countable s
 tate spaces. Representing a Markov chain in terms of a random dynamical sy
 stem\, which describes the collective dynamics of trajectories driven by t
 he same noise\, allows for the characterization of synchronization via ran
 dom attractors. We establish the existence and uniqueness of a random attr
 actor under mild conditions and show that forward and pullback attraction 
 are equivalent in our setting. Additionally\, we provide a sufficient cond
 ition for reaching the random attractor\, or synchronization respectively\
 , in a time of finite mean. This is joint work with Robin Chemnitz and Gui
 llermo Olicón-Méndez
DTSTAMP:20260825T084548Z
CREATED:20260604T053747Z
LAST-MODIFIED:20260626T053926Z
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