5 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…
Mass gap for the hierarchical sinh-Gordon model
Omar Abdelghani, Roland Bauerschmidt, Michael Hofstetter +1
The (massless) sinh-Gordon model is defined in terms of a continuum massless Gaussian free field perturbed by a cosh interaction. For the hierarchical version of the model, we prov…
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…
Twisted Dirac operators and fractional correlations of the massless sine-Gordon model at the free fermion point
Roland Bauerschmidt, Scott Mason, Christian Webb
For the massless sine-Gordon model at the free fermion point, in infinite volume, we define the fractional (charge or vertex operator) correlation functions from the probabilistic…
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…