Coupled but distant
Itai Benjamini, Gady Kozma
TL;DR
This paper constructs a coupling of two 4-dimensional random walks ensuring their paths do not intersect with positive probability, demonstrating a novel approach to understanding interactions of stochastic processes.
Contribution
It introduces a new coupling method for two random walks in four dimensions that prevents intersection with positive probability.
Findings
Paths of coupled random walks do not intersect with positive probability
New coupling technique for high-dimensional random walks
Insights into non-intersecting stochastic processes
Abstract
We construct a coupling of two random walks in 4 dimensions so that their traces do not intersect with positive probability.
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Taxonomy
TopicsDiffusion and Search Dynamics · Stochastic processes and statistical mechanics · Theoretical and Computational Physics