21 citations · 54 across the 13 of their papers we have counts for
13 papers
H"older index at a given point for density states of super-alpha-stable motion of index 1+beta
Klaus Fleischmann, Leonid Mytnik, Vitali Wachtel
A H"older regularity index at given points for density states of (alpha,1,beta)-superprocesses with alpha>1+beta is determined. It is shown that this index is strictly greater than…
Optimal local Hölder index for density states of superprocesses with -branching mechanism
Klaus Fleischmann, Leonid Mytnik, Vitali Wachtel
For , a super--stable motion in with branching of index is considered. Fix arbitrary . If , a dichotomy for the density fu…
On the large scale behavior of super-Brownian motion in three dimensions with a single point source
Klaus Fleischmann, Carl Mueller, Pascal Vogt
In a recent work, Fleischmann and Mueller (2004) showed the existence of a super-Brownian motion in R^d, d=2,3, with extra birth at the origin. Their construction made use of an an…
Large deviations for sums defined on a Galton-Watson process
Klaus Fleischmann, Vitali Wachtel
In this paper we study the large deviation behavior of sums of i.i.d. random variables X_i defined on a supercritical Galton-Watson process Z. We assume the finiteness of the momen…
Moderate deviations for random walk in random scenery
Klaus Fleischmann, Peter Morters, Vitali Wachtel
We investigate random walks in independent, identically distributed random sceneries under the assumption that the scenery variables satisfy Cramer's condition. We prove moderate d…
Critical Galton-Watson processes: The maximum of total progenies within a large window
Klaus Fleischmann, Vladimir A. Vatutin, Vitali Wachtel
Consider a critical Galton-Watson process Z={Z_n: n=0,1,...} of index 1+alpha, alpha in (0,1]. Let S_k(j) denote the sum of the Z_n with n in the window [k,...,k+j), and M_m(j) the…