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Introduction to ergodic rates for Markov chains and processes

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Alexei Kulik

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The present lecture notes aim for an introduction to the ergodic behaviour of Markov Processes and addresses graduate students, post-graduate students and interested readers. Different tools and methods for the study of upper bounds on uniform and weak ergodic rates of Markov Processes are introduced. These techniques are then applied to study limit theorems for functionals of Markov processes. This lecture course originates in two mini courses held at University of Potsdam, Technical University of Berlin and Humboldt University in spring 2013 and Ritsumameikan University in summer 2013.

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Introduction to ergodic rates for Markov chains and processes, Alexei Kulik

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Année de publication: 2015

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Titre: Introduction to ergodic rates for Markov chains and processes
Langue: Anglais
Auteurs: Alexei Kulik
Éditeur: Univ. Press
Publié: 2015
ISBN10: 3869563389
ISBN13: 9783869563381
Séries: Lectures in pure and applied mathematics
Mots clés: Mathématiques
Description: The present lecture notes aim for an introduction to the ergodic behaviour of Markov Processes and addresses graduate students, post-graduate students and interested readers. Different tools and methods for the study of upper bounds on uniform and weak ergodic rates of Markov Processes are introduced. These techniques are then applied to study limit theorems for functionals of Markov processes. This lecture course originates in two mini courses held at University of Potsdam, Technical University of Berlin and Humboldt University in spring 2013 and Ritsumameikan University in summer 2013.