AbstractFor two types of stochastic particle systems in Rd we show non-explosion in finite time by proving that their respective generators are L1(μ)-unique, where μ is their respective invariant (in these cases even symmetrizing) measure. We also prove the much harder L2(μ)-uniqueness in both models
We establish a duality relation for the moments of bounded solutions to a class of one-dimensional p...
Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. ...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
For two types of stochastic particle systems in Rd we show non-explosion in finite time by proving t...
Kondratiev Y, Konstantinov AY, Röckner M. Uniqueness of diffusion generators for two types of partic...
AbstractWe prove Lp-uniqueness of Dirichlet operators for Gibbs measures on the path space C(R,Rd) a...
Albeverio S, Kawabi H, Roeckner M. Strong uniqueness for both Dirichlet operators and stochastic dyn...
A uniqueness problem raised in 2001 for critical cyclically catalytic super-Brownian motions is solv...
We consider a generalised Keller–Segel model with non-linear porous medium type diffusion and non-lo...
We investigate the existence of invariant measures for self-stabilizing diffusions. These stochastic...
We consider diffusions corresponding to the generator for continuous with y<sub>i</sub> nonnegative....
We study a class of self-similar jump type SDEs driven by Hölder-continuous drift and noise coeffici...
We introduce a stochastic system of interacting particles which is expected to furnish as the number...
AbstractWe use hydrodynamics techniques to study the large deviations properties of the McKean–Vlaso...
AbstractWe investigate the existence of invariant measures for self-stabilizing diffusions. These st...
We establish a duality relation for the moments of bounded solutions to a class of one-dimensional p...
Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. ...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
For two types of stochastic particle systems in Rd we show non-explosion in finite time by proving t...
Kondratiev Y, Konstantinov AY, Röckner M. Uniqueness of diffusion generators for two types of partic...
AbstractWe prove Lp-uniqueness of Dirichlet operators for Gibbs measures on the path space C(R,Rd) a...
Albeverio S, Kawabi H, Roeckner M. Strong uniqueness for both Dirichlet operators and stochastic dyn...
A uniqueness problem raised in 2001 for critical cyclically catalytic super-Brownian motions is solv...
We consider a generalised Keller–Segel model with non-linear porous medium type diffusion and non-lo...
We investigate the existence of invariant measures for self-stabilizing diffusions. These stochastic...
We consider diffusions corresponding to the generator for continuous with y<sub>i</sub> nonnegative....
We study a class of self-similar jump type SDEs driven by Hölder-continuous drift and noise coeffici...
We introduce a stochastic system of interacting particles which is expected to furnish as the number...
AbstractWe use hydrodynamics techniques to study the large deviations properties of the McKean–Vlaso...
AbstractWe investigate the existence of invariant measures for self-stabilizing diffusions. These st...
We establish a duality relation for the moments of bounded solutions to a class of one-dimensional p...
Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. ...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
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