3 papers
math.PR2024
Random choice spanning trees
Eleanor Archer, Matan Shalev
In this paper we introduce a new model of random spanning trees that we call choice spanning trees, constructed from so-called choice random walks. These are random walks for which…
math.PR2023
Quenched critical percolation on Galton-Watson trees
Eleanor Archer, Quirin Vogel
We consider critical percolation on a supercritical Galton-Watson tree. We show that, when the offspring distribution is in the domain of attraction of an -stable law for some $…
math.PR2023
The union of independent USFs on is transient
Eleanor Archer, Asaf Nachmias, Matan Shalev +1
We show that the union of two or more independent uniform spanning forests (USF) on with almost surely forms a connected transient graph. In fact, this als…