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math.PR2022
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…
math.PR2022★ 9 cited
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…