1.5k citations · 13.2k across the 148 of their papers we have counts for
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Intermittency in Wind-Driven Fires
Laurent Hébert-Dufresne, Aanjaneya Kumar, S. Redner
We construct a wind-driven forest-fire model in one dimension in which a fire can jump gaps between trees to ignite disjoint downwind forests. The size of a gap that a fire can jum…
First-passage on disordered intervals
James Holehouse, S. Redner
We investigate the first-passage properties of nearest-neighbor hopping on a finite interval with disordered hopping rates. We develop an approach that relies on the backward equat…
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…
Birds on a Wire
P. L. Krapivsky, S. Redner
We investigate the occupancy statistics of birds on a wire and on higher-dimensional substrates. In one dimension, birds land one by one on a wire and rest where they land. Wheneve…
First-Passage-Driven Boundary Recession
B. De Bruyne, J. Randon-Furling, S. Redner
We investigate a moving boundary problem for a Brownian particle on the semi-infinite line in which the boundary moves by a distance proportional to the time between successive col…
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 , , , . .…