Eleanor Archer

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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 $α$ -stable law for some $…

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…

Random choice spanning trees

Quenched critical percolation on Galton-Watson trees

The union of independent USFs on Zd is transient

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