Continuity for Limit Profiles of Reversible Markov Chains

We prove that the limit profile of a sequence of reversible Markov chains exhibiting total variation cutoff is a continuous function, under a computable condition involving the spectrum of the transition matrix and the cutoff window.

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Publication Details

Journal
Markov Processes And Related Fields
Published
2026-10-29
DOI
https://doi.org/10.61102/1024-2953-mprf.2026.32.3.003
Primary Topic
Markov Chains and Monte Carlo Methods
Type
article
Field-Weighted Citation Impact
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article

Continuity for Limit Profiles of Reversible Markov Chains

Evita Nestoridi
1 links
Markov Processes And Related Fields
Markov Chains and Monte Carlo Methods
article

Continuity for Limit Profiles of Reversible Markov Chains

Evita Nestoridi
article en

Abstract

We prove that the limit profile of a sequence of reversible Markov chains exhibiting total variation cutoff is a continuous function, under a computable condition involving the spectrum of the transition matrix and the cutoff window.

Markov Processes And Related Fields(2026 №3 (32))
Stony Brook University (US)
Openalex Percentile: Top 96%
Markov Chains and Monte Carlo Methods
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Continuity for Limit Profiles of Reversible Markov Chains — Evita Nestoridi · Markov Processes And Related Fields (2026) | TGRS Research Map | TGRS