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math.PR2026
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…
math.PR2026
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…
math.PR2026
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…