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Cut-off and escape behaviors for random walks on trees

Abstract:
"In this talk, I consider families of random walks on
trees, and focus on the asymptotical behavior of first
passage times.
I will define cut-off and escape behaviors for hitting
times, and show that in presence of a drift toward the
root of the tree, we have cut-off behavior along the drift
and escape behavior in the opposite direction."
 
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