Lauren K. Williams (Harvard University)
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TITLE:听Combinatorics of hopping particles and positivity in Markov chains
ABSTRACT:听The asymmetric simple exclusion process (ASEP) is a model for translation in听protein synthesis and traffic flow; it can be defined as a Markov chain describing听particles hopping on a one-dimensional lattice. I will give an overview of some of听the connections of the stationary distribution of the ASEP to combinatorics and听special functions. I will also mention some open problems and observations听about positivity in Markov chains.听
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:
Universit茅 de Montr茅al
Pavillon Andr茅 Aisenstadt
Salle/ Room 6214/6245
2920, chemin de la tour, Montr茅al (Qu茅bec)
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A reception will follow in the Salon Maurice-Labb茅 lounge (6245)
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ZOOM :
ID de r茅union : 867 0496 8510
password : 186616
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Organisateurs/ Organizers:
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Pascal Baseilhac (CNRS - Universit茅 de Tours)
Nicolas Cramp茅 (CNRS, Universit茅 de Tours)
Hendrik De Bie (Universiteit Gent)
Alexi Morin-Duchesne (Ghent University)
Robert A. Weston (Heriot-Watt University)
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