most citedAbrupt Convergence and Escape Behavior for Birth and Death Chains

25 citations · 25 across the 2 of their papers we have counts for

collaborators

2 papers

math.PR2010

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

Olivier Bertoncini

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…

math-ph2009★ 25 cited

Abrupt Convergence and Escape Behavior for Birth and Death Chains

Javiera Barrera, Olivier Bertoncini, Roberto Fernández

We link two phenomena concerning the asymptotical behavior of stochastic processes: (i) abrupt convergence or cut-off phenomenon, and (ii) the escape behavior usually associated to…