On an irreducibility type condition for the ergodicity of nonconservative semigroups

We propose a simple criterion, inspired from the irreducible aperiodic Markov chains, to derive the exponential convergence of general positive semigroups. When not checkable on the whole state space, it can be combined to the use of Lyapunov functions. It differs from the usual generalization of ir...

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Bibliographic Details
Main Authors: Cloez, Bertrand, Gabriel, Pierre
Format: Article
Language:English
Published: Académie des sciences 2020-10-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.92/