WorldCat Identities

Louis, Pierre-Yves

Overview
Works: 13 works in 19 publications in 2 languages and 130 library holdings
Genres: Archives  History 
Roles: Redactor, Editor
Classifications: NA1053.M25, 724.16
Publication Timeline
Key
Publications about  Pierre-Yves Louis Publications about Pierre-Yves Louis
Publications by  Pierre-Yves Louis Publications by Pierre-Yves Louis
Most widely held works by Pierre-Yves Louis
François Mansart, les bâtiments : marchés de travaux (1623-1665) by Andrée Chauleur ( Book )
5 editions published in 1998 in French and held by 104 WorldCat member libraries worldwide
Convergence towards equilibrium of probabilistic cellular automata by Pierre-Yves Louis ( Book )
2 editions published in 2003 in English and held by 5 WorldCat member libraries worldwide
We first introduce some coupling of a finite number of Probabilistic Cellular Automata dynamics (PCA), preserving the stochastic ordering. Using this tool, and under some assumption (A) we establish ergodicity for general attractive probabilistic cellular automata, defined on the whole lattice, with finite spin space: this means the convergence towards equilibrium of these Markovian parallel dynamics, in the uniform norm, exponentially fast. For a class of reversible PCA dynamics with spin space (-1,+1), with a naturally associated Gibbsian potential, we prove that a Weak Mixing condition implies the validity of the assumption (A), thus the exponential ergodicity' of the dynamics towards the unique Gibbs measure holds. On some particular examples of this PCA class, we verify that our assumption (A) is weaker than the Dobrushin-Vasershtein ergodicity condition. For some precise PCA, the exponential ergodicity' holds as soon as there is no phase transition
Stationary measures and phase transition for a class of probabilistic cellular automata by Paolo Dai Pra ( Book )
1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide
Complete monotone coupling for Markov processes by Paolo Dai Pra ( )
2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
We formalize and analyze the notions of monotonicity and complete monotonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set. Similarly to what happens in discrete-time, the two notions are not equivalent. However, we show that there are partially ordered sets for which monotonicity and complete monotonicity coincide in continuoustime but not in discrete-time
Increasing coupling of probabilistic cellular automata by Pierre-Yves Louis ( )
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
We give a necessary and sufficient condition for the existence of an increasing coupling of N (N >= 2) synchronous dynamics on S-Zd (PCA). Increasing means the coupling preserves stochastic ordering. We first present our main construction theorem in the case where S is totally ordered; applications to attractive PCAs are given. When S is only partially ordered, we show on two examples that a coupling of more than two synchronous dynamics may not exist. We also prove an extension of our main result for a particular class of partially ordered spaces
Coupling, space and time mixing for parallel stochastic dynamics by Pierre-Yves Louis ( )
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
Le Marquisat de Maisons en 1773 : procès-verbal de visite by Pierre-Yves Louis ( Book )
1 edition published in 1981 in French and held by 2 WorldCat member libraries worldwide
Automates cellulaires probabilistes by Pierre-Yves Louis ( Book )
1 edition published in 2002 in French and held by 2 WorldCat member libraries worldwide
Les Automates Cellulaires Probabilistes (PCA, de l'anglais Probabilistic Cellular Automata) constituent, au sein des dynamiques aléatoires à temps discret, une classe de processus stochastiques markoviens à valeurs dans un espace infini S exposant G où S désigne un ensemble fini et G est un graphe infini. Ici G=Z exposant d. La particularité de ces dynamiques est l'évolution en parallèle de chacune des coordonnées ou composants élémentaires en interaction. Nous nous intéressons à l'existence et à l'unicité des mesures stationnaires pour les dynamiques PCA non dégénérées dont le comportement local n'est jamais déterministe, ainsi qu'à la caractérisation de ces états d'équilibre en tant que mesures gibbsiennes. Nous précisons, pour la classe des dynamiques PCA réversibles, les relations existant entre les mesures stationnaires, les mesures réversibles et les mesures de Gibbs associées à un potentiel dont le lien avec la dynamique est explicité. Pour une famille paramétrée de dynamiques PCA réversibles, nous démontrons l'existence d'un phénomène de transition de phase, et explicitons dans ce cas le comportement de différentes mesures de Gibbs sous l'action de ces dynamiques. Puis, nous étudions la convergence vers l'équilibre des dynamiques PCA qui sont de plus en plus attractives
Time-to-Coalescence for interacting particle systems : parallel versus sequential updating by Pierre-Yves Louis ( )
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
Le marquisat de Maisons en 1777 by Antoine-Nicolas Dauphin ( Book )
1 edition published in 1981 in Undetermined and held by 1 WorldCat member library worldwide
François Mansart, les bâtiments : marchés de travaux (1923-1665) ( Book )
1 edition published in 1998 in French and held by 1 WorldCat member library worldwide
Le Marquisat de Maisons en :1777 :+mille sept cent soixante-dix-sept+ : procès-verbal de visite by Antoine-Nicolas Dauphin ( Book )
1 edition published in 1981 in French and held by 1 WorldCat member library worldwide
Stationary measures and phase transition for a class of probabilistic cellular automata ( )
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models
 
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Languages
French (9)
English (9)