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14 papers · 2 filters
Phase transitions for the model in non-uniformly elliptic and Poisson-Voronoi environments
Paul Dario, Christophe Garban
The goal of this paper is to analyze how the celebrated phase transitions of the model are affected by the presence of a non-elliptic quenched disorder. In dimension , we…
Martingale problem for a Walsh spider process with spinning measure selected from its own local time
Miguel Martinez, Isaac Ohavi
The objective of this article is to prove existence and weak uniqueness of a Walsh spider diffusion process, whose spinning measure and coefficients are allowed to depend on the lo…
Deviation inequalities for dependent sequences with applications to strong approximations
J Dedecker, F Merlevède, Emmanuel Rio
In this paper, we give precise rates of convergence in the strong invariance principle for stationary sequences of bounded real-valued random variables satisfying weak dependence c…
Central limit theorem under the Dedecker-Rio condition in some Banach spaces
Aurélie Bigot
We extend the central limit theorem under the Dedecker-Rio condition to adapted stationary and ergodic sequences of random variables taking values in a class of smooth Banach space…
Approximation for the invariant measure with applications for jump processes (convergence in total variation distance)
Vlad Bally, Yifeng Qin
In this paper, we establish an abstract framework for the approximation of the invariant probability measure for a Markov semigroup. Following Pag{è}s and Panloup [40] we use an Eu…
Improved rates of convergence for the multivariate Central Limit Theorem in Wasserstein distance
Thomas Bonis
We provide new bounds for the rate of convergence of the multivariate Central Limit Theorem in Wasserstein distances of order . In particular, we obtain what we conjectur…