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On the existence of natural rate of escape functions for infinite dimensional Brownian motions

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Publication:1168642
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DOI10.1214/aop/1176993772zbMath0493.60048OpenAlexW2043343925MaRDI QIDQ1168642

Dennis D. Cox

Publication date: 1982

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993772


zbMATH Keywords

log concavityBrownian motion in a Banach spacenatural rate of escapefunctional inequality problem


Mathematics Subject Classification ID

Gaussian processes (60G15) Probability measures on topological spaces (60B05) Sample path properties (60G17) Systems of functional equations and inequalities (39B72) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)


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\( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ Comparison results for the lower tail of Gaussian seminorms ⋮ On the rate of escape or approach to the origin of a random string



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