1 citations · 2 across the 4 of their papers we have counts for
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Sudden extinction of a critical branching process in random environment
V. A. Vatutin V. Wachtel
Let be the extinction moment of a critical branching process in a random environment specified by iid probability generating functions. We study the asympt…
Local probabilities for random walks conditioned to stay positive
Vladimir Vatutin, Vitali Wachtel
Let S_0=0,{S_n, n>0} be a random walk generated by a sequence of i.i.d. random variables X_1,X_2,... and let τ^{-} be the first descending ladder epoch. Assuming that the distribut…
Local limit theorems for ladder epochs
Vladimir Vatutin, Vitali Wachtel
Let {S_n, n=0,1,2,...} be a random walk generated by a sequence of i.i.d. random variables X_1, X_2,... and let tau be the first descending ladder epoch. Assuming that the distribu…
Hydrodynamic limit fluctuations of super-Brownian motion with a stable catalyst
Klaus Fleischmann, Peter Moerters, Vitali Wachtel
We consider the behaviour of a continuous super-Brownian motion catalysed by a random medium with infinite overall density under the hydrodynamic scaling of mass, time, and space.…