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math.PR2022
A subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate
Pengfei Tang
We construct an example of a subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate. This answers a question of Amir and Yang…
math.PR2022
The wired minimal spanning forest on the Poisson-weighted infinite tree
Asaf Nachmias, Pengfei Tang
We study the spectral and diffusive properties of the wired minimal spanning forest (WMSF) on the Poisson-weighted infinite tree (PWIT). Let be the tree containing the root in…