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Displaying similar documents to “Projecting the surface measure of the sphere of ℓ p n ”

Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces

Luigi Ambrosio, Alessio Figalli (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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We study points of density 1 / 2 of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this class of points. Here density 1 / 2 is formulated in terms of the pointwise behaviour of the Ornstein-Uhlembeck semigroup.

Exponential concentration for first passage percolation through modified Poincaré inequalities

Michel Benaïm, Raphaël Rossignol (2008)

Annales de l'I.H.P. Probabilités et statistiques

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We provide a new exponential concentration inequality for first passage percolation valid for a wide class of edge times distributions. This improves and extends a result by Benjamini, Kalai and Schramm ( (2003)) which gave a variance bound for Bernoulli edge times. Our approach is based on some functional inequalities extending the work of Rossignol ( (2006)), Falik and Samorodnitsky ( (2007)).