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math.PR2018
Phase transition for the once-excited random walk on general trees
Cong Bang Huynh
The phase transition of -digging random on a general tree was studied by Collevecchio, Huynh and Kious (2018). In this paper, we study particularly the critical -digging rand…
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…