355 citations
- Centre National de la Recherche ScientifiqueFR34 papers
- Groupe de Physique des MatériauxFR13 papers
- Laboratoire de Mathématiques Raphaël SalemFR13 papers
- Université Paris-SudFR6 papers
- Sorbonne UniversitéFR5 papers
- Complexe de Recherche Interprofessionnel en AérothermochimieFR4 papers
- Institut National des Sciences Appliquées Rouen NormandieFR4 papers
- Laboratoire d'Informatique, du Traitement de l'Information et des SystèmesFR4 papers
- Instituto Nacional de Matemática Pura e AplicadaBR3 papers
- Laboratoire d'Informatique Gaspard-MongeFR3 papers
- Polish Academy of LearningPL3 papers
- Polish Academy of SciencesPL3 papers
15 papers · 1 filter
Metastability of reversible condensed zero range processes on a finite set
Johel Beltran, Claudio Landim
Let $r: S\times S\to \bb R_+$ be the jump rates of an irreducible random walk on a finite set , reversible with respect to some probability measure . For , let $g: \bb N…
Comparison between criteria leading to the weak invariance principle
Olivier Durieu, Dalibor Volný
The aim of this paper is to compare various criteria leading to the central limit theorem and the weak invariance principle. These criteria are the martingale-coboundary decomposit…
Growth rate for the expected value of a generalized random Fibonacci sequence
Elise Janvresse, Benoît Rittaud, Thierry De La Rue
A random Fibonacci sequence is defined by the relation g_n = | g_{n-1} +/- g_{n-2} |, where the +/- sign is chosen by tossing a balanced coin for each n. We generalize these sequen…
Density-Profile Processes Describing Biological Signaling Networks: Almost Sure Convergence to Deterministic Trajectories
Roberto Fernández, Luiz Renato Fontes, E. Jordão Neves
We introduce jump processes in R^k, called density-profile process, to model biological signaling networks. They describe the macroscopic evolution of finite-size spin-flip models…
Ultrametric and tree potential
Claude Dellacherie, Servet Martinez, Jaime San Martin
We study infinite tree and ultrametric matrices, and their action on the boundary of the tree. For each tree matrix we show the existence of a symmetric random walk associated to i…
Uniqueness and non-uniqueness of chains on half lines
R. Fernandez, G. Maillard
We establish a one-to-one correspondence between one-sided and two-sided regular systems of conditional probabilities on the half-line that preserves the associated chains and Gibb…