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math.PR2026
Random walk on the small-world network model in 3 or more dimensions
Zsuzsanna Baran, Jonathan Hermon, Anđela Šarković +2
We study the mixing time of a simple random walk on the small-world network defined by adding edges to as follows: for each pair we add an edge with prob…
math.PR2024★ 1 cited
Intersections of branching random walks on
Zsuzsanna Baran
We consider random walks on indexed by the infinite invariant tree, which consists of an infinite spine and finite random trees attached to it on both sides. We establish th…
math.PR2023
Phase transition for random walks on graphs with added weighted random matching
Zsuzsanna Baran, Jonathan Hermon, Anđela Šarković +1
For a finite graph let be obtained by considering a random perfect matching of and adding the corresponding edges to with weight , while assign…