28 citations · 28 across the 3 of their papers we have counts for
3 papers
math.PR2009
Bounds on the Speed and on Regeneration Times for Certain Processes on Regular Trees
Andrea Collevecchio, Tom Schmitz
We develop a technique that provides a lower bound on the speed of transient random walk in a random environment on regular trees. A refinement of this technique yields upper bound…
math.PR2009
Limit theorems for vertex-reinforced jump processes on regular trees
Andrea Collevecchio
Consider a vertex-reinforced jump process defined on a regular tree, where each vertex has exactly children, with . We prove the strong law of large numbers and the ce…
math.PR2006★ 28 cited
On the transience of processes defined on Galton--Watson trees
Andrea Collevecchio
We introduce a simple technique for proving the transience of certain processes defined on the random tree generated by a supercritical branching process. We prove th…