Zobrazeno 1 - 10
of 576
pro vyhledávání: '"Redig P"'
Autor:
Redig, Frank, van Tol, Berend
We investigate the structure of non-equilibrium steady states (NESS) for a class of exactly solvable models in the setting of a chain with left and right reservoirs. Inspired by recent results on the harmonic model, we focus on models in which the NE
Externí odkaz:
http://arxiv.org/abs/2411.11425
In this paper we consider the multispecies stirring process on the discrete torus. We prove a large deviation principle for the trajectory of the vector of densities of the different species. The technique of proof consists in extending the method of
Externí odkaz:
http://arxiv.org/abs/2410.20857
We define the symmetric exclusion process (SEP) on random neighbourhood graphs drawn from Poisson point processes on complete connected Riemannian manifolds equipped with a Gibbs reference measure. We obtain diffusions with drift induced by the poten
Externí odkaz:
http://arxiv.org/abs/2410.20167
We study a class of stochastic models of mass transport on discrete vertex set $V$. For these models, a one-parameter family of homogeneous product measures $\otimes_{i\in V} \nu_\theta$ is reversible. We prove that the set of mixtures of inhomogeneo
Externí odkaz:
http://arxiv.org/abs/2406.01160
Autor:
Redig, Frank, Saada, Ellen
Local perturbations in conservative particle systems can have a non-local influence on the stationary measure. To capture this phenomenon, we analyze in this paper two toy models. We study the symmetric exclusion process on a countable set of sites V
Externí odkaz:
http://arxiv.org/abs/2403.01893
We consider the boundary driven harmonic model, i.e. the Markov process associated to the open integrable XXX chain with non-compact spins. Using the factorial moments we characterize the stationary measure as a mixture of product measures. For all s
Externí odkaz:
http://arxiv.org/abs/2307.14975
We study the density fluctuations at equilibrium of the multi-species stirring process, a natural multi-type generalization of the symmetric (partial) exclusion process. In the diffusive scaling limit, the resulting process is a system of infinite-di
Externí odkaz:
http://arxiv.org/abs/2307.05111
Autor:
Redig, Frank, van Wiechen, Hidde
We study the stationary fluctuations of independent run-and-tumble particles. We prove that the joint densities of particles with given internal state converges to an infinite dimensional Ornstein-Uhlenbeck process. We also consider an interacting ca
Externí odkaz:
http://arxiv.org/abs/2307.02967
We consider a certain class of Riemannian submersions $\pi : N \to M$ and study lifted geodesic random walks from the base manifold $M$ to the total manifold $N$. Under appropriate conditions on the distribution of the speed of the geodesic random wa
Externí odkaz:
http://arxiv.org/abs/2307.02160
Autor:
Redig, Frank, van Wiechen, Hidde
We consider a class of multi-layer interacting particle systems and characterize the set of ergodic measures with finite moments. The main technical tool is duality combined with successful coupling.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/2203.12462