48 citations · 137 across the 28 of their papers we have counts for
3 papers · 1 filter
Upgrading MLSI to LSI for reversible Markov chains
Justin Salez, Konstantin Tikhomirov, Pierre Youssef
For reversible Markov chains on finite state spaces, we show that the modified log-Sobolev inequality (MLSI) can be upgraded to a log-Sobolev inequality (LSI) at the surprisingly l…
Monotonicity of the logarithmic energy for random matrices
Djalil Chafaï, Benjamin Dadoun, Pierre Youssef
It is well-known that the semi-circle law, which is the limiting distribution in the Wigner theorem, is the minimizer of the logarithmic energy penalized by the second moment. A ve…
Regularized modified log-Sobolev inequalities, and comparison of Markov chains
Konstantin Tikhomirov, Pierre Youssef
In this work, we develop a comparison procedure for the Modified log-Sobolev Inequality (MLSI) constants of two reversible Markov chains on a finite state space. Efficient comparis…