For 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 prove a comparison inequality between a system of independent random walkers and a system of rand...
Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. ...
This research proposal is about stochastic processes in interacting particle systems. In a time span...
AbstractFor two types of stochastic particle systems in Rd we show non-explosion in finite time by p...
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...
We investigate the existence of invariant measures for self-stabilizing diffusions. These stochastic...
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 study a class of self-similar jump type SDEs driven by Hölder-continuous drift and noise coeffici...
AbstractWe investigate the existence of invariant measures for self-stabilizing diffusions. These st...
International audienceIn this paper we present some basic uniqueness results for evolutive equations...
We consider diffusions corresponding to the generator for continuous with y<sub>i</sub> nonnegative....
We introduce a stochastic system of interacting particles which is expected to furnish as the number...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. ...
This research proposal is about stochastic processes in interacting particle systems. In a time span...
AbstractFor two types of stochastic particle systems in Rd we show non-explosion in finite time by p...
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...
We investigate the existence of invariant measures for self-stabilizing diffusions. These stochastic...
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 study a class of self-similar jump type SDEs driven by Hölder-continuous drift and noise coeffici...
AbstractWe investigate the existence of invariant measures for self-stabilizing diffusions. These st...
International audienceIn this paper we present some basic uniqueness results for evolutive equations...
We consider diffusions corresponding to the generator for continuous with y<sub>i</sub> nonnegative....
We introduce a stochastic system of interacting particles which is expected to furnish as the number...
We prove a comparison inequality between a system of independent random walkers and a system of rand...
Copyright 2015 American Institute of Physics. This article may be downloaded for personal use only. ...
This research proposal is about stochastic processes in interacting particle systems. In a time span...