probability-statistics / Markov chains
For the adjacent-transposition chain on $\mathfrak{S}_n$ with a regular parameter vector, Fill's spectral gap conjecture (recently resolved) leaves open the characterization of the equality cases. The paper settles them, constructing the additional eigenfunctions in the exceptional regime.
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For the adjacent-transposition chain on $\mathfrak{S}_n$ with a regular parameter vector, Fill's spectral gap conjecture (recently resolved) leaves open the characterization of the equality cases. The paper settles them, constructing the additional eigenfunctions in the exceptional regime.
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For the adjacent-transposition chain on $\mathfrak{S}_n$ with a regular parameter vector, Fill's spectral gap conjecture (recently resolved) leaves open the characterization of the equality cases. The paper settles them, constructing the additional eigenfunctions in the exceptional regime.
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