The union of independent USFs on ℤd is transient

Eleanor Archer, Asaf Nachmias, Matan Shalev, Pengfei Tang

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the union of two or more independent uniform spanning forests (USF) on ℤd with d ≥ 3 almost surely forms a connected transient graph. In fact, this also holds when taking the union of a deterministic everywhere percolating set and an independent ε-Bernoulli percolation on a single USF sample.

Original languageEnglish
Article number38
Pages (from-to)1-8
Number of pages8
JournalElectronic Communications in Probability
Volume29
DOIs
StatePublished - 2024

Funding

FundersFunder number
UniversalMap
European Research Council101001124
Israel Science Foundation1294/19, 898/23

    Keywords

    • percolation
    • stochastic domination
    • uniform spanning forest

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