3 papers
math.PR2026
Punctured Wilson--Evolving Sets and Root Identities for Massive Kirchhoff Forests
Nordine Anis Moumeni
We construct a punctured Wilson--evolving-set coupling for finite reversible Markov chains. The transformed evolving set carries a Markov trajectory up to its exit from a punctured…
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-…
math.PR2024
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 o…