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Shi on the asymptotic behavior of the survival probability of the branching random walk killed below a linear boundary, in the special case of deterministic binary branching and
By Skorokhod embedding of mean zero, finite variance random variables in Brownian motion, there is a stopping time τ such that for any standard Brownian motion (i.e., starting
Binary search tree, branching random walk, convergence of martingales AMS 2000 Subject Classification... Write BinTree for the set of complete
For a recurrent random walk in a random environment on a general locally finite connected graph, the mixing measure is unique if there exists a mixing measure Q which is supported
Let us also note that, although we shall only study the particular branching process associated with the cookie random walk, the method presented here could be used to deal with a
Furthermore, the criterion applies to two important classes of branching random walks and implies that the critical branching random walk is transient resp.. dies
As simple consequences of this identity we obtain sufficient conditions for the Gaussianity of the law of the Skorohod integral and a recurrence relation for the moments of second
In the context of algebraic Bethe ansatz, we construct the corre- sponding Bethe creation operator for the transfer matrix defined in an arbitrary represen- tation of E τ,η ( so 3
