determinantal processes 1evolving sets 1graph connectivity 1kirchhoff forests 1markov chains 1wilson's algorithm 1
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math.PR2026
Punctured Wilson--Evolving Sets and Root Identities for Massive Kirchhoff Forests
Nordine Anis Moumeni
The paper develops a punctured Wilson‑evolving‑set coupling for finite reversible Markov chains and applies it to analyze root probabilities and connectivity in massive Kirchhoff f…
math.PR2026
Quantitative merging for time-inhomogeneous Markov chains in non-decreasing environments via functional inequalities
Nordine Moumeni
We study time-inhomogeneous Markov chains to obtain quantitative results on their asymptotic behavior. We use Poincaré, Nash, and logarithmic-Sobolev inequalities. We assume that…