학교소개

HOME > 일정 >세미나

세미나

세미나 게시글의 상세 화면
제목 [12.8]Hopping Particles and Rhombic Tableaux
작성자 수학전공 등록일 2017-01-13 조회수 161

연 사 : Olya Mandelshtam 박사 (UCLA)

일 시 : 2016128() 4:30 - 5:30

장 소 : 31316(수학과 전공강의실)

대 상 : 수학과 학부생 및 대학원생

다 과 : 420분부터

 

Abstract

The asymmetric simple exclusion process (ASEP) is a model from statistical physics that describes the dynamics of particles hopping right and left on a finite 1-dimensional lattice. Particles can enter and exit at the left and right boundaries, and at most one particle can occupy each site. The ASEP plays an important role in the study of non-equilibrium statistical mechanics and has appeared in many contexts, for instance as a model for 1-dimensional transport processes such as protein synthesis, molecular and cellular transport, and traffic flow. Moreover, it displays rich combinatorial structure: one can compute the stationary probabilities for the ASEP using fillings of certain tableaux. In this talk, we will discuss some of the combinatorial results from the past decade as well as recent developments, including combinatorial formulae for a two-species generalization of the ASEP. This talk is based on joint work with X. Viennot and separately with S. Corteel and L. Williams, and will be accessible to graduate students.

 

세미나 게시판의 이전글 다음글
이전글 [12.7]Rigid tableaux
다음글 Decentralized Discrete-Time Algorithm for Estimating AlgebraicConnectivity of Multiagent Networks
목록