75 citations · 556 across the 38 of their papers we have counts for
45 papers
On the stationary measures of the critical Ornstein--Uhlenbeck process
Jean-Dominique Deuschel, Jonas Köppl, Yannic Steenbeck +1
We study linear and symmetric diffusion processes on that can be seen as the Langevin dynamics of the (inhomogeneous) harmonic crystal for given conduct…
A Variational Characterization of a Gibbs Measure related to the Aviles-Giga Functional
Jean-Dominique Deuschel, Clara Thierbach, Barbara Zwicknagl
We derive explicit characterizations of Gibbs-measures related to the Aviles-Giga functional. We build on the variational approach presented by Barashkov and Gubinelli (2020) in th…
Scaling Limits of Line Models in Degenerate Environment
Jean-Dominique Deuschel, Henri Elad Altman
We consider a 2-dimensional model of random walk in random environment known as line model. The environment is described by two independent families of i.i.d. random variables dict…
Quenched invariance principle for random walks in random environments admitting a cycle decomposition
Jean-Dominique Deuschel, Martin Slowik, Weile Weng
We study a class of non-reversible, continuous-time random walks in random environments on that admit a cycle representation with finite cycle length. The law of the…
Gradient estimates of the heat kernel for random walks among time-dependent random conductances
Jean-Dominique Deuschel, Takashi Kumagai, Martin Slowik
In this paper we consider a time-continuous random walk in in a dynamical random environment with symmetric jump rates to nearest neighbours. We assume that these ra…
A Ray-Knight theorem for interface models and scaling limits
Jean-Dominique Deuschel, Pierre-François Rodriguez
We introduce a natural measure on bi-infinite random walk trajectories evolving in a time-dependent environment driven by the Langevin dynamics associated to a gradient Gibbs measu…