Work

Moderate deviations for the range of a transient random walk: path concentration

Year: 2016

Type: article

Abstract: We study downward deviations of the boundary of the range of a transient walk on the Euclidean lattice. We describe the optimal strategy adopted by the walk in order to shrink the boundary of its range. The technics we develop apply equally well to the range, and provide pathwise statements for the {\it Swiss cheese} picture of Bolthausen, van den Berg and den Hollander \cite{BBH}.

Source: HAL AMU

DOI: 10.48550/arxiv.1601.03957

Authors: Asselah, Amine, Schapira, Bruno

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: INITIATIVE D'EXCELLENCE AIX MARSEILLE UNIVERSITE, G1742243815, G4866930200, G782245399

OpenAlex ID: W4293402589

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