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Anita Kollwitz

Barbara Dembin, ETH Zürich: Large deviation principle for the streams and the maximal flow in first passage percolation (Oberseminar Mathematische Stochastik)

Wednesday, 28.04.2021 17:00 per ZOOM: 61828242813

Mathematik und Informatik

We consider the standard first passage percolation model in the rescaled lattice Zd/n for d>=2 : with each edge e we associate a random capacity c(e)>=0 such that the family (c(e))e is independent and identically distributed with a common law G. We interpret this capacity as a rate of flow, i.e., it corresponds to the maximal amount of water that can cross the edge per unit of time. We consider a bounded connected domain Ω in Rd and two disjoint subsets of the boundary of Ω representing respectively the source and the sink, i.e., where the water can enter in Ω and escape from Ω. We are interested in the maximal flow, i.e., the maximal amount of water that can enters through Ω per unit of time. A stream is a function on the edges that describes how the water circulates in Ω. In this talk, we will present a large deviation principle for streams and deduce by contraction principle an upper large deviation principle for maximal flow in Ω.
This is a joint work with Marie Théret.



Angelegt am 15.03.2021 von Anita Kollwitz
Geändert am 21.04.2021 von Anita Kollwitz
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