Dan Mikulincer

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math.PR2026

Geometric obstructions to Lipschitz transport between weighted Hessian $CD (I^º, \infty)$ manifolds

William Dudarov, Dan Mikulincer

We construct a weighted Riemannian manifold $(R^{2}, g, I^¼)$ satisfying $CD (1/2, \infty)$ , the curvature-dimension condition, with the following property: if $I^^{3}$ denot…

math.PR2026

Fast mixing in Ising models with a negative spectral outlier via Gaussian approximation

Dan Mikulincer, Youngtak Sohn

We study the mixing time of Glauber dynamics for Ising models in which the interaction matrix contains a single negative spectral outlier. This class includes the anti-ferromagneti…

math.PR2026

Anti-concentration of polynomials: $L^{p}$ balls and symmetric measures

Itay Glazer, Dan Mikulincer

We begin with the observation, based on previous results, that dimension-free lower bounds on the variance of a polynomial under a log-concave measure yield dimension-free small-ba…

Geometric obstructions to Lipschitz transport between weighted Hessian CD(I^º,∞) manifolds

Fast mixing in Ising models with a negative spectral outlier via Gaussian approximation

Anti-concentration of polynomials: Lp balls and symmetric measures

Geometric obstructions to Lipschitz transport between weighted Hessian $CD (I^º, \infty)$ manifolds

Anti-concentration of polynomials: $L^{p}$ balls and symmetric measures