Dokument-ID Dokumenttyp Verfasser/Autoren Herausgeber Haupttitel Abstract Auflage Verlagsort Verlag Erscheinungsjahr Seitenzahl Schriftenreihe Titel Schriftenreihe Bandzahl ISBN Quelle der Hochschulschrift Konferenzname Quelle:Titel Quelle:Jahrgang Quelle:Heftnummer Quelle:Erste Seite Quelle:Letzte Seite URN DOI Abteilungen OPUS4-4873 unpublished Louis, Pierre-Yves Increasing Coupling of Probabilistic Cellular Automata We give a necessary and sufficient condition for the existence of an increasing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. 2004 urn:nbn:de:kobv:517-opus-51578 Institut für Mathematik OPUS4-600 misc Louis, Pierre-Yves Increasing coupling for probabilistic cellular automata 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. 2005 urn:nbn:de:kobv:517-opus-6593 Institut für Mathematik OPUS4-670 misc Dai Pra, Paolo; Louis, Pierre-Yves; Minelli, Ida Monotonicity and complete monotonicity for continuous-time Markov chains We 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in continuous time but not in discrete-time. 2006 urn:nbn:de:kobv:517-opus-7665 Institut für Mathematik OPUS4-1660 unpublished Pra, Paolo Dai; Louis, Pierre-Yves; Minelli, Ida G. Complete monotone coupling for Markov processes We formalize and analyze the notions of monotonicity and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. 2008 urn:nbn:de:kobv:517-opus-18286 Institut für Mathematik OPUS4-4896 unpublished Louis, Pierre-Yves; Rouquier, Jean-Baptiste Time-to-Coalescence for interacting particle systems : parallel versus sequential updating Studying the influence of the updating scheme for MCMC algorithm on spatially extended models is a well known problem. For discrete-time interacting particle systems we study through simulations the effectiveness of a synchronous updating scheme versus the usual sequential one. We compare the speed of convergence of the associated Markov chains from the point of view of the time-to-coalescence arising in the coupling-from-the-past algorithm. Unlike the intuition, the synchronous updating scheme is not always the best one. The distribution of the time-to-coalescence for these spatially extended models is studied too. 2009 urn:nbn:de:kobv:517-opus-49454 Institut für Mathematik