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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Fulman, J. Commutation relations and Markov chains. Probab. Theory Relat. Fields 144, 99–136 (2009). https://doi.org/10.1007/s00440-008-0143-0
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DOI: https://doi.org/10.1007/s00440-008-0143-0
Keywords
- Commutation relations
- Separation distance
- Differential poset
- Markov chain
- Symmetric function
- Ewens distribution