3 papers
math.AP2026
From maximal entropy exclusion process to unitary Dyson Brownian motion and free unitary hydrodynamics
Yoann Offret
We investigate the Maximal Entropy Simple Symmetric Exclusion Process (MESSEP) on a discrete ring with L sites and N indistinguishable particles. Its eigenfunctions are Schur polyn…
math.CO2025
Maximal Entropy Random Walks in Z: Random and non-random environments
Duboux Thibaut, Lucas Gerin, Yoann Offret
The Maximal Entropy Random Walk (MERW) is a natural process on a finite graph, introduced a few years ago with motivations from theoretical physics. The construction of this proces…
math.CO2025
Maximal entropy random walks and central Markov chains
Yoann Offret, Sergey Dovgal
We introduce and develop the concept of Maximal Entropy Random Walks (MERWs) on Weighted Bratteli Diagrams (WBDs), maximizing entropy production along paths as a natural criterion…