Commutation relations and Markov chains |
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Authors: | Jason Fulman |
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Institution: | 1. Department of Mathematics, University of Southern California, Los Angeles, CA, 90089, USA
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Abstract: | 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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