Combinatorics of hopping particles and positivity in Markov chains

  • Lauren Williams (Harvard University)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)


The asymmetric simple exclusion process (ASEP) is a model for translation in protein synthesis and traffic flow; it can be defined as a Markov chain describing particles hopping on a one-dimensional lattice. I will give an overview of some of the connections of the stationary distribution of the ASEP to combinatorics and special functions. I will also mention some open problems and observations about positivity in Markov chains.

4/24/24 4/24/24

Felix Klein Colloquium

Universität Leipzig Felix-Klein-Hörsaal

Mirke Olschewski

MPI for Mathematics in the Sciences Contact via Mail

Lukasz Grabowski

Leipzig University

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