26 citations · 53 across the 12 of their papers we have counts for
17 papers
Invariance principles for rough walks in random conductances
Johannes Bäumler, Noam Berger, Tal Orenshtein +1
We establish annealed and quenched invariance principles for random walks in random conductances lifted to the p-variation rough path topology, allowing for degenerate environments…
Nonlinear effects within invariance principles
Maximilian Engel, Peter K. Friz, Tal Orenshtein
The combination of functional limit theorems with the pathwise analysis of deterministic and stochastic differential equations has proven to be a powerful approach to the analysis…
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…
Random walks in random hypergeometric environment
Tal Orenshtein, Christophe Sabot
We consider one-dependent random walks on in random hypergeometric environment for . These are memory-one walks in a large class of environments parameterize…
Infinite excursions of rotor walks on regular trees
Sebastian Mueller, Tal Orenshtein
A rotor configuration on a graph contains in every vertex an infinite ordered sequence of rotors, each is pointing to a neighbor of the vertex. After sampling a configuration accor…
Zero-one law for directional transience of one-dimensional random walks in dynamic random environments
Tal Orenshtein, Renato Soares dos Santos
We prove the trichotomy between transience to the right, transience to the left and recurrence of one-dimensional nearest-neighbour random walks in dynamic random environments unde…
Excited random walk with periodic cookies
Gady Kozma, Tal Orenshtein, Igor Shinkar
In this paper we consider an excited random walk on in identically piled periodic environment. This is a discrete time process on defined by parameters $(…
Excited Mob
Gideon Amir, Tal Orenshtein
We show that for an i.i.d. bounded and weakly elliptic cookie environment, one dimensional excited random walk on the -time leftover environment is right transient if and only i…
Zero-one law for directional transience of one dimensional excited random walks
Gideon Amir, Noam Berger, Tal Orenshtein
The probability that a one dimensional excited random walk in stationary ergodic and elliptic cookie environment is transient to the right (left) is either zero or one. This solves…
Pointwise convergence of partial functions: The Gerlits-Nagy Problem
Tal Orenshtein, Boaz Tsaban
For a set $X\sbst\R$, let $B(X)\sbst\R^X$ denote the space of Borel real-valued functions on , with the topology inherited from the Tychonoff product . Assume that for eac…
Greedy Random Walk
Tal Orenshtein, Igor Shinkar
We study a discrete time self interacting random process on graphs, which we call Greedy Random Walk. The walker is located initially at some vertex. As time evolves, each vertex m…
Linear -additivity and some applications
Tal Orenshtein, Boaz Tsaban
We show that countable increasing unions preserve a large family of well-studied covering properties, which are not necessarily sigma-additive. Using this, together with infinite-c…