Displaying similar documents to “Upper sets and quasisymmetric maps.”

Isometry groups of non standard metric products

Bogdana Oliynyk (2013)

Open Mathematics

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We consider isometry groups of a fairly general class of non standard products of metric spaces. We present sufficient conditions under which the isometry group of a non standard product of metric spaces splits as a permutation group into direct or wreath product of isometry groups of some metric spaces.

The large deviation principle for certain series

Miguel A. Arcones (2004)

ESAIM: Probability and Statistics

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We study the large deviation principle for stochastic processes of the form { ∑ k = 1 ∞ x k ( t ) ξ k : t ∈ T } , where { ξ k } k = 1 ∞ is a sequence of i.i.d.r.v.’s with mean zero and x k ( t ) ∈ ℝ . We present necessary and sufficient conditions for the large deviation principle for these stochastic processes in several situations. Our approach is based in showing the large deviation principle of the finite dimensional distributions and an exponential asymptotic equicontinuity condition. In order to get the exponential asymptotic equicontinuity...