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The above strategy was adopted earlier by one of the authors for branching random walk in random environment [ 10 ]. There, the Markov chain alluded to above is simply the product
We prove an almost sure limit theorem on the exact convergence rate of the maximum of standardized gaussian random walk increments.. On a conjecture of R´
Note that also in the time inhomogeneous case the time dependent Dirichlet form is controlled, uniformly in time, by the Dirichlet form of the simple random walk, and therefore
We prove a non-standard functional limit theorem for a two dimensional simple random walk on some randomly oriented lattices.. This random walk, already known to be transient, has
Binary search tree, branching random walk, convergence of martingales AMS 2000 Subject Classification... Write BinTree for the set of complete
Furthermore, the criterion applies to two important classes of branching random walks and implies that the critical branching random walk is transient resp.. dies
A central limit theorem for random walk in a random environment on marked Galton-Watson trees.. Gabriel
In the following we give a short description of the standard branching random walk, its intrinsic martingales and an associated multiplicative random walk.. Consider a