Zusammenfassung für den Vortrag am 09.11.2022 (16:30 Uhr)Felix Klein Colloquium
Lauren Williams (Harvard University)
Combinatorics of hopping particles and positivity in Markov chains
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.