Commutation relations and Markov chains

Details Commutation relations and Markov chains Commutation relations and Markov chains

2007-12-09

arxiv.org/abs/0712.1375v2

Mathematics

Probability

37 pages; referee suggestions implemented, discuss up-down chains as well, slightly better bounds in Props. 5.6, 7.6

Scientific paper

It is shown that the combinatorics of commutation relations is well suited
for analyzing the convergence rate of certain Markov chains. Examples studied
include random walk on irreducible representations, a local random walk on
partitions whose stationary distribution is the Ewens distribution, and some
birth-death chains.

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