363 citations · 1.5k across the 43 of their papers we have counts for
48 papers
Log-Sobolev inequality for the sinh-Gordon model
Omar Abdelghani, Roland Bauerschmidt, Thierry Bodineau +1
For the sinh-Gordon model (without external mass term), we show that the log-Sobolev inequality holds uniformly in the lattice and volume regularisations for all parameters in the…
The Ding-Song-Sun inequality for a class of even ferromagnets
Omar Abdelghani, Roland Bauerschmidt, Thierry Bodineau +1
Ding-Song-Sun proved the remarkable correlation inequality that the truncated two-point correlation function of ferromagnetic Ising models with arbitrary mixed-sign external field…
Derivation of the Boltzmann equation from hard-sphere dynamics (after Y. Deng, Z. Hani, and X. Ma)
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
Consider a microscopic system of hard spheres that are initially independent (modulo the exclusion condition on particle positions) and identically distributed in $\mathbb{R}^3…
A perturbative approach to the macroscopic fluctuation theory
Thierry Bodineau, Bernard Derrida
In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the la…
Kawasaki dynamics beyond the uniqueness threshold
Roland Bauerschmidt, Thierry Bodineau, Benoit Dagallier
Glauber dynamics of the Ising model on a random regular graph is known to mix fast below the tree uniqueness threshold and exponentially slowly above it. We show that Kawasaki dyna…
Stochastic dynamics and the Polchinski equation: an introduction
Roland Bauerschmidt, Thierry Bodineau, Benoit Dagallier
This introduction surveys a renormalisation group perspective on log-Sobolev inequalities and related properties of stochastic dynamics. We also explain the relationship of this ap…