Universal fluctuations in the support of the random walk

DOI10.1007/BF02770757zbMath0939.82021arXivcond-mat/9611202MaRDI QIDQ1285091

Hendrik Jan Hilhorst, Frédéric Van Wijland

Publication date: 12 July 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9611202

zbMATH Keywords

asymptotic behaviorsimple random walkhypercubic latticetopology of the support

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (1)

Number of distinct sites visited by a resetting random walker

Cites Work

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• Propriétés d'intersection des marches aléatoires. I: Convergence vers le temps local d'intersection. (Properties of intersection of random walks. I: Convergence to local time intersection)
• On the shape of the connected component of the complement of the plane Brownian path
• Random Walks on Lattices. II
• Statistical properties of the set of sites visited by the two-dimensional random walk

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