Cut-off and Escape Behaviors for Birth and Death Chains on Trees

Mathematics – Probability

Scientific paper

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22 pages, 1 figure. This new version, written after referee's suggestions, is shorter and features a more clear presentation o

Scientific paper

We consider families of discrete time birth and death chains on trees, and
show that in presence of a drift towards the root of the tree, the chains
exhibit cut-off behavior along the drift and escape behavior in the opposite
direction.

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