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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…
math.PR2016
Superlinearity of geodesic length in 2 critical first-passage percolation
Michael Damron, Pengfei Tang
First-passage percolation is the study of the metric space , where is a random metric defined as the weighted graph metric using random edge-weights $(t_e)_{e…