Metric entropy and the central limit theorem in $C(S)$

R. M. Dudley

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Uniform exponential bound for the normalized empirical process

J. Yukich (1986)

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A large deviation theorem for the empirical eigenvalue distribution of random unitary matrices

Fumio Hiai, Dénes Petz (2000)

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Large deviations for a triangular array of exchangeable random variables

José Trashorras (2002)

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Infimum-convolution description of concentration properties of product probability measures, with applications

Paul-Marie Samson (2007)

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Two problems in prediction theory

Takahiko Nakazi (1984)

Studia Mathematica

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Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces

D. Edmunds, Yu. Netrusov (1998)

Studia Mathematica

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Let id be the natural embedding of the Sobolev space $W_{p}^{l} (Ω)$ in the Zygmund space $L_{q} {(l o g L)}_{a} (Ω)$ , where $Ω = {(0, 1)}^{n}$ , 1 < p < ∞, l ∈ ℕ, 1/p = 1/q + l/n and a < 0, a ≠ -l/n. We consider the entropy numbers $e_{k} (i d)$ of this embedding and show that $e_{k} (i d) ≍ k^{- η}$ , where η = min(-a,l/n). Extensions to more general spaces are given. The results are applied to give information about the behaviour of the eigenvalues of certain operators of elliptic type.

Process-level quenched large deviations for random walk in random environment

Firas Rassoul-Agha, Timo Seppäläinen (2011)

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

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We consider a bounded step size random walk in an ergodic random environment with some ellipticity, on an integer lattice of arbitrary dimension. We prove a level 3 large deviation principle, under almost every environment, with rate function related to a relative entropy.

Displaying similar documents to “Metric entropy and the central limit theorem in C ( S ) ”

Uniform exponential bound for the normalized empirical process

A large deviation theorem for the empirical eigenvalue distribution of random unitary matrices

Large deviations for a triangular array of exchangeable random variables

Infimum-convolution description of concentration properties of product probability measures, with applications

Two problems in prediction theory

Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces

Process-level quenched large deviations for random walk in random environment

Displaying similar documents to “Metric entropy and the central limit theorem in $C (S)$ ”