Moderate and small deviations for the ranges of one-dimensional random walks

DOI10.1007/s10959-006-0032-3zbMath1123.60015OpenAlexW2093011521MaRDI QIDQ867088

Xia Chen

Publication date: 14 February 2007

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-006-0032-3

zbMATH Keywords

random walkslaw of the iterated logarithmmoderate deviationsmall deviationintersection of ranges

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (7)

Invariance principle for the capacity and the cardinality of the range of stable random walks ⋮ Limit theorems for one and two-dimensional random walks in random scenery ⋮ A local limit theorem for random walks in random scenery and on randomly oriented lattices ⋮ The boundary of the range of a random walk and the Følner property ⋮ Number of distinct sites visited by a random walk with internal states ⋮ Kolmogorov complexity and strong approximation of Brownian motion ⋮ The voter model chordal interface in two dimensions

Cites Work

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