37 citations · 126 across the 31 of their papers we have counts for
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math.PR2018
The branching-ruin number as critical parameter of random processes on trees
Andrea Collevecchio, Cong Bang Huynh, Daniel Kious
The branching-ruin number of a tree, which describes its asymptotic growth and geometry, can be seen as a polynomial version of the branching number. This quantity was defined by C…
math.PR2018★ 2 cited
A note on recurrence of the Vertex reinforced jump process and fractional moments localization
Andrea Collevecchio, Xiaolin Zeng
We give a simple proof for recurrence of vertex reinforced jump process on \(\mathbb{Z}^d\), under strong reinforcement. Moreover, we show how the previous result implies that line…