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math.PR2024
Coupled but distant
Itai Benjamini, Gady Kozma
We construct a coupling of two random walks in 4 dimensions so that their traces do not intersect with positive probability.
math.PR2024
A reduction of the problem to a conjectured inequality
Gady Kozma, Shahaf Nitzan
We conjecture a new correlation-like inequality for percolation probabilities and support our conjecture with numerical evidence and a few special cases which we prove. This inequa…