determinantal processes 1evolving sets 1graph connectivity 1kirchhoff forests 1markov chains 1wilson's algorithm 1
From the 1 of 3 linked papers with an AI index.
3 papers
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…
cs.CE2026
Cost of Manipulation in AMM-Based Oracles
Sebastian Müller, Nordine Moumeni, Adel Messaoudi
We study the robustness of AMM-based on-chain price oracles to strategic manipulation. An attacker trades against constant product automated market makers (CPMMs) to distort an on-…