Seminar

Stationary distributions and mixing times for finite Markov chains

Algebraic and Enumerative Combinatorics

27 January 10:30 - 11:20

Anne Schilling - University of California

We show that the stationary distribution of a finite Markov chain can be expressed as the sum of certain normal distributions. These normal distributions are associated to planar graphs consisting of a straight line with attached loops. The loops touch only at one vertex either of the straight line or of another attached loop. Our analysis is based on our previous work, which derives the stationary distribution of a finite Markov chain using semaphore codes on the Karnofsky--Rhodes and McCammond expansion of the right Cayley graph of the finite semigroup underlying the Markov chain. This is joint work with John Rhodes based on arXiv:1902.01042 and arXiv:1711.10689.
Organizers
Sara Billey
University of Washington
Petter Brändén
KTH Royal Institute of Technology
Sylvie Corteel
Université Paris Diderot, Paris 7
Svante Linusson
KTH Royal Institute of Technology

Program
Contact

Svante Linusson

linusson@math.kth.se

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