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cond-mat.stat-mech2022★ 20 cited
Universal exploration dynamics of random walks
Léo Régnier, Maxim Dolgushev, S. Redner +1
The territory explored by a random walk is a key property that may be quantified by the number of distinct sites that the random walk visits up to a given time. The extent of this…
cond-mat.stat-mech2022★ 10 cited
Complete Visitation Statistics of 1d Random Walks
Léo Régnier, Maxim Dolgushev, Sidney Redner +1
We develop a framework to determine the complete statistical behavior of a fundamental quantity in the theory of random walks, namely, the probability that , , , . .…