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Stochastic Localization with Non-Gaussian Tilts and Applications to Tensor Ising Models
Dan Mikulincer, Arianna Piana
We present generalizations and modifications of Eldan's Stochastic Localization process, extending it to incorporate non-Gaussian tilts, making it useful for a broader class of mea…
Stochastic proof of the sharp symmetrized Talagrand inequality
Thomas A. Courtade, Max Fathi, Dan Mikulincer
We give a new proof of the sharp symmetrized form of Talagrand's transport-entropy inequality. Compared to stochastic proofs of other Gaussian functional inequalities, the new idea…
Characterizing the fourth-moment phenomenon of monochromatic subgraph counts via influences
Nitya Mani, Dan Mikulincer
We investigate the distribution of monochromatic subgraph counts in random vertex -colorings of large graphs. We give sufficient conditions for the asymptotic normality of these…
Noise stability on the Boolean hypercube via a renormalized Brownian motion
Ronen Eldan, Dan Mikulincer, Prasad Raghavendra
We consider a variant of the classical notion of noise on the Boolean hypercube which gives rise to a new approach to inequalities regarding noise stability. We use this approach t…