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math.PR2026
First-order phase transitions in the hard-core model
Ewan Davies, Juspreet Singh Sandhu, Brian Tan
We give a rigorous proof that the hard-core model on a natural family of infinite graphs exhibits a first-order phase transition.
math.PR2026
Weak Poincaré Inequalities via Approximate Stochastic Localization: Application to Sampling the Sherrington-Kirkpatrick Model
Ewan Davies, Holden Lee, Juspreet Singh Sandhu +1
We develop a new method for proving a weak functional inequality by first proving it for a sufficiently regular sequence of distributions approximating the stochastic localization…
math.PR2026
Potential Hessian Ascent III: Sampling the Sherrington--Kirkpatrick Model at Beta < 1/2
Ewan Davies, Holden Lee, Juspreet Singh Sandhu +1
We give a polynomial-time algorithm to sample from the Gibbs measure of the Sherrington-Kirkpatrick model with negligible total-variation distance (TVD) error up to inverse tempera…