Matan Shalev

activity

20192024

most citedThe diameter of uniform spanning trees in high dimensions

4 citations · 4 across the 6 of their papers we have counts for

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Showing 2023 · math.PRShow all

2 papers · 2 filters

math.PR2023

The union of independent USFs on $Z^{d}$ is transient

Eleanor Archer, Asaf Nachmias, Matan Shalev +1

We show that the union of two or more independent uniform spanning forests (USF) on $Z^{d}$ with $d \geq 3$ almost surely forms a connected transient graph. In fact, this als…

math.PR2023

The GHP scaling limit of uniform spanning trees of dense graphs

Eleanor Archer, Matan Shalev

We consider dense graph sequences that converge to a connected graphon and prove that the GHP scaling limit of their uniform spanning trees is Aldous' Brownian CRT. Furthermore, we…

The union of independent USFs on Zd is transient

The GHP scaling limit of uniform spanning trees of dense graphs

The union of independent USFs on $Z^{d}$ is transient