14 citations · 42 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
Holley--Stroock uniqueness method for the dynamics
Roland Bauerschmidt, Benoit Dagallier, Hendrik Weber
The approach initiated by Holley--Stroock establishes the uniqueness of invariant measures of Glauber dynamics of lattice spin systems from a uniform log-Sobolev inequality. We use…
Fluctuations and correlations in weakly asymmetric simple exclusion on a ring subject to an atypical current
Benoit Dagallier
We consider the weakly asymmetric simple exclusion process on a ring, driven out of equilibrium by tilting the dynamics so as to enforce a macroscopic current of particles on a lar…
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…
Large deviations for out of equilibrium correlations in the symmetric simple exclusion process
Thierry Bodineau, Benoit Dagallier
For finite size Markov chains, the Donsker-Varadhan theory fully describes the large deviations of the time averaged empirical measure. We are interested in the extension of the Do…
Log-Sobolev inequality for near critical Ising models
Roland Bauerschmidt, Benoit Dagallier
For general ferromagnetic Ising models whose coupling matrix has bounded spectral radius, we show that the log-Sobolev constant satisfies a simple bound expressed only in terms of…