7 papers
Rough invariance principle for delayed regenerative processes
Tal Orenshtein
We derive an invariance principle for the lift to the rough path topology of stochastic processes with delayed regenerative increments under an optimal moment condition. An interes…
Aging for the stationary Kardar-Parisi-Zhang equation and related models
Jean-Dominique Deuschel, Gregorio R. Moreno Flores, Tal Orenshtein
We study the aging property for stationary models in the KPZ universality class. In particular, we show aging for the stationary KPZ fixed point, the Cole-Hopf solution to the stat…
Additive functionals as rough paths
Jean-Dominique Deuschel, Tal Orenshtein, Nicolas Perkowski
We consider additive functionals of stationary Markov processes and show that under Kipnis-Varadhan type conditions they converge in rough path topology to a Stratonovich Brownian…
On the gradient dynamics associated with wetting models
Jean-Dominique Deuschel, Henri Elad Altman, Tal Orenshtein
We consider several critical wetting models. In the discrete case, these probability laws are known to converge, after an appropriate rescaling, to the law of a reflecting Brownian…
Ballistic random walks in random environment as rough paths: convergence and area anomaly
Olga Lopusanschi, Tal Orenshtein
Annealed functional CLT in the rough path topology is proved for the standard class of ballistic random walks in random environment. Moreover, the `area anomaly', i.e. a determinis…
Scaling limit of wetting models in dimensions pinned to a shrinking strip
Jean-Dominique Deuschel, Tal Orenshtein
We consider wetting models in dimensions on a shrinking strip with a general pinning function. We show that under diffusive scaling, the interface converges in law to to the…