5 papers · 1 filter
Marchenko-Pastur law for tensor powers of exchangeable unconditional vectors
Feng Cheng, Dan Mikulincer
Given an isotropic, exchangeable, and unconditional random vector , we consider the sample covariance matrix constructed from i.i.d. copies of several tensor models of $…
On the Lipschitz properties of transportation along heat flows
Dan Mikulincer, Yair Shenfeld
We prove new Lipschitz properties for transport maps along heat flows, constructed by Kim and Milman. For (semi)-log-concave measures and Gaussian mixtures, our bounds have several…
The Brownian transport map
Dan Mikulincer, Yair Shenfeld
Contraction properties of transport maps between probability measures play an important role in the theory of functional inequalities. The actual construction of such maps, however…
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…