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May 29, 2017 – January 2, 20172017 (WIAS-ESH)

Workshop/Konferenz: CRC 1114 Spring School: Methods for Particle Systems with Multiple Scales
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Host
SFB 1114: Scaling Cascades in Complex Systems

Wednesday, 29.09.2021, 11:30 (Online Event)

Seminar Interacting Random Systems
Michiel Renger, WIAS Berlin:
Open problem: large deviations of transport maps (online talk)
more ... Location
Online Event

Abstract
Motivated by nonequilibrium thermodynamics, we are interested in large deviations for transport maps as the number of particles n goes to infinity. We first focus on the simplest setting of independent Markovian particles on a finite state space, which already poses mathematical challenges. Let n Γ _xy(s,t) be the number of particles that were at position x at time s and at position y at time t. Common large-deviation techniques for random trajectories exploit the Markov property (in one time variable). However, Γ has two time dimensions; can we reformulate Γ as a Markov process?

Further Informations
Seminar Interacting Random Systems (Online Event)

Host
WIAS Berlin