1 citations · 2 across the 5 of their papers we have counts for
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Voronoi cells in random split trees
Alexander Drewitz, Markus Heydenreich, Cécile Mailler
We study the sizes of the Voronoi cells of uniformly chosen vertices in a random split tree of size . We prove that, for large, the largest of these Voronoi cells co…
Asymptotics for Lipschitz percolation above tilted planes
Alexander Drewitz, Michael Scheutzow, Maite Wilke-Berenguer
We consider Lipschitz percolation in dimensions above planes tilted by an angle along one or several coordinate axes. In particular, we are interested in the asymptotics…
Ballisticity conditions for random walk in random environment
Alexander Drewitz, Alejandro F. Ramírez
Consider a random walk in a uniformly elliptic i.i.d. random environment in dimensions . In 2002, Sznitman introduced for each the ballisticity conditions $(T)…
Asymptotic directions in random walks in random environment revisited
Alexander Drewitz, Alejandro F. Ramírez
Recently Simenhaus proved that for any elliptic random walk in random environment, transience in the neighborhood of a given direction is equivalent to the a.s. existence of a dete…