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# Documents  Matheron, Etienne | enregistrements trouvés : 3

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## Some remarks regarding ergodic operators Matheron, Etienne | CIRM H

Multi angle

Research talks;Dynamical Systems and Ordinary Differential Equations

Let us say that a continuous linear operator $T$ acting on some Polish topological vector space is ergodic if it admits an ergodic probability measure with full support. This talk will be centred in the following question: how can we see that an operator is or is not ergodic? More precisely, I will try (if I’m able to manage my time) to talk about two “positive" results and one “negative" result. The first positive result says that if the operator $T$ acts on a reflexive Banach space and satisfies a strong form of frequent hypercyclicity, then $T$ is ergodic. The second positive result is the well-known criterion for ergodicity relying on the perfect spanning property for unimodular eigenvectors, of which I will outline a “soft" Baire category proof. The negative result will be stated in terms of a parameter measuring the maximal frequency with which (generically) the orbit of a hypercyclic vector for $T$ can visit a ball centred at 0. The talk is based on joint work with Sophie Grivaux. Let us say that a continuous linear operator $T$ acting on some Polish topological vector space is ergodic if it admits an ergodic probability measure with full support. This talk will be centred in the following question: how can we see that an operator is or is not ergodic? More precisely, I will try (if I’m able to manage my time) to talk about two “positive" results and one “negative" result. The first positive result says that if the ...

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## Analyse complexe Amar, Eric ; Matheron, Etienne | Cassini 2004

Ouvrage

- 470 p.
ISBN 978-2-84225-052-2

Enseignement des mathématiques

Localisation : Ouvrage RdC (AMAR)

analyse complexe # fonction d'une variable complexe # fonction holomorphe # forme différentielle # théorie des distributeurs # fonction sous-harmonique

30-01

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## Dynamics of linear operators Bayart, Frédéric ; Matheron, Etienne | Cambridge University Press 2009

Ouvrage

- xiv; 337 p.
ISBN 978-0-521-51496-5

Cambridge tracts in mathematics , 0179

Localisation : Collection 1er étage

opérateur théorie # vecteur cyclique # théorie ergodique # dynamique topologique

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