7.7k citations
- Centre National de la Recherche ScientifiqueFR1.2k papers
- Institut Élie Cartan de LorraineFR874 papers
- Institut Jean LamourFR378 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR277 papers
- Institut national de recherche en sciences et technologies du numériqueFR174 papers
- Laboratoire de Physique et Chimie ThéoriquesFR148 papers
- Université Paris-SaclayFR115 papers
- CRANFR110 papers
- Sorbonne UniversitéFR85 papers
- Institut Universitaire de FranceFR61 papers
- Université de StrasbourgFR56 papers
- Laboratoire Énergies & Mécanique Théorique et AppliquéeFR54 papers
8 papers · 2 filters
Asymptotic shape for the contact process in random environment
Olivier Garet, Régine Marchand
The aim of this article is to prove asymptotic shape theorems for the contact process in stationary random environment. These theorems generalize known results for the classical co…
A construction of the rough path above fractional Brownian motion using Volterra's representation
David Nualart, Samy Tindel
This note is devoted to construct a rough path above a multidimensional fractional Brownian motion with any Hurst parameter , by means of its representation as a Vol…
Moderate deviations for the chemical distance in Bernoulli percolation
Olivier Garet, Régine Marchand
In this paper, we establish moderate deviations for the chemical distance in Bernoulli percolation. The chemical distance between two points is the length of the shortest open path…
Déviations modérées de la distance chimique
Olivier Garet, Régine Marchand
In this paper, we establish moderate deviations for the chemical distance in Bernoulli percolation. The chemical distance between two points is the length of the shortest open path…
A Lévy area by Fourier normal ordering for multidimensional fractional Brownian motion with small Hurst index
Jeremie Unterberger
The main tool for stochastic calculus with respect to a multidimensional process with small Hölder regularity index is rough path theory. Once has been lifted to a rough pa…
Global existence for rough differential equations under linear growth conditions
Massimiliano Gubinelli, Antoine Lejay
We prove existence of global solutions for differential equations driven by a geometric rough path under the condition that the vector fields have linear growth. We show by an expl…