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math.PR2022★ 14 cited
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…
math.PR2022★ 3 cited
The Discrete Gaussian model, II. Infinite-volume scaling limit at high temperature
Roland Bauerschmidt, Jiwoon Park, Pierre-François Rodriguez
The Discrete Gaussian model is the lattice Gaussian free field conditioned to be integer-valued. In two dimensions, at sufficiently high temperature, we show that the scaling limit…