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math.PR2026
Spectral Gap for the Binary Fixed-Margin Swap Chain
Weibo Fu, Qian Qin, Guanyang Wang
We prove an explicit spectral-gap lower bound for the lazy swap chain on binary matrices with prescribed row and column sums. This chain is a standard sampler for fixed-margin null…
math.PR2020
On the limitations of single-step drift and minorization in Markov chain convergence analysis
Qian Qin, James P. Hobert
Over the last three decades, there has been a considerable effort within the applied probability community to develop techniques for bounding the convergence rates of general state…
math.PR2019
Geometric convergence bounds for Markov chains in Wasserstein distance based on generalized drift and contraction conditions
Qian Qin, James P. Hobert
Let denote a Markov chain on a Polish space that has a stationary distribution . This article concerns upper bounds on the Wasserstein distance between…