math.PR · 2026-08-05 · No. 75

Probability, 2026-08-05.

1 new papers in math.PR. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    A Direct Route to Markov Chain Convergence via Asymptotic Equivalence with the Target

    Patrick Forré

    math.PR · cs.LG · math.ST · stat.CO · stat.ML

    For a Markov kernel $T$ with an invariant probability measure $π$, we give a self-contained proof of the Markov chain convergence theorem via a criterion called asymptotic equivalence with the target. It assumes two parts about the Lebesgue decompositions of $T^{n}_{x}$ and $π$ for every starting point $x$: 1.) asymptotic absolute continuity: the singular mass sing$(T^{n}_{x}\midπ)$ tends to $0$; 2.) asymptotic domination of the target: the...

    arxiv.org/abs/2608.03353 · PDF

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