64 citations
- Université de Rouen NormandieFR12 papers
- Centre National de la Recherche ScientifiqueFR9 papers
- Institute of Rural Management AnandIN3 papers
- Département mathématiques, informatique, sciences de la donnée et technologies du numériqueFR2 papers
- Institut de Recherche Mathématique AvancéeFR2 papers
- Mathématiques et Informatique Appliquées2 papers
- National Research Tomsk State UniversityRU2 papers
- Universidade Estadual de Campinas (UNICAMP)BR2 papers
- University of ViennaAT2 papers
- Board of the Swiss Federal Institutes of TechnologyCH1 paper
- Brazilian Institute of Geography and StatisticsBR1 paper
- Brazilian Society of Computational and Applied MathematicsBR1 paper
Showing 2003 · math.PRShow all
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math.PR2003★ 2 cited
Chains with complete connections: General theory, uniqueness, loss of memory and mixing properties
Roberto Fernandez, Gregory Maillard
We introduce an statistical mechanical formalism for the study of discrete-time stochastic processes with which we prove: (i) General properties of extremal chains, including trivi…
math.PR2003★ 4 cited
Chains with complete connections and one-dimensional Gibbs measures
Roberto Fernandez, Gregory Maillard
We discuss the relationship between discrete-time processes (chains) and one-dimensional Gibbs measures. We consider finite-alphabet (finite-spin) systems, possibly with a grammar…