Lauren K. Williams (Harvard University)

TITLE: Combinatorics of hopping particles and positivity in Markov chains

ABSTRACT: 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. 

For my other two lectures (in weeks 1 and 2, respectively), my titles will be:

* Macdonald polynomials and the ASEP, and

* Schubert polynomials and the ASEP

PLACE:

This conference will be held in hybrid mode on-site and by Zoom

ON-SITE:

Université de Montréal

Pavillon André Aisenstadt
Salle/ Room 6214/6245

2920, chemin de la tour, Montréal (Québec)

A reception will follow in the Salon Maurice-Labbé lounge (6245)

ZOOM :

https://us06web.zoom.us/j/86704968510?pwd=T0dKUUJmUmlCRXRFV0JGZWloNnF0QT09

ID de réunion : 867 0496 8510

password : 186616

Organisateurs/ Organizers:

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Pascal Baseilhac (CNRS - Université de Tours)
Nicolas Crampé (CNRS, Université de Tours)
Hendrik De Bie (Universiteit Gent)
Alexi Morin-Duchesne (Ghent University)
Robert A. Weston (Heriot-Watt University)

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