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Pré-Publication, Document De Travail Année : 2023

Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology

Dirk Erhard
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Résumé

In this paper we introduce a new topology under which the pair empirical measure of a large class of random walks satisfies a strong large deviation principle. The definition of the topology is inspired by the recent article by Mukherjee and Varadhan [12]. This topology is natural for many translation-invariant problems such as the Swiss cheese model [14]. We also adapt our result to certain rescaled random walks. Contents
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Dates et versions

hal-04054395 , version 1 (31-03-2023)
hal-04054395 , version 2 (11-04-2024)

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Dirk Erhard, Julien Poisat. Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology. 2023. ⟨hal-04054395v1⟩
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