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# Documents  47A16 | enregistrements trouvés : 8

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## A universal hypercyclic representation Glasner, Eli | CIRM H

Post-edited

Research talks;Analysis and its Applications;Dynamical Systems and Ordinary Differential Equations

For any countable group, and also for any locally compact second countable, compactly generated topological group, $G$, there exists a "universal" hypercyclic representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of $G$. I will discuss the original proof of this theorem (a joint work with Benjy Weiss) and then, at the end of the talk, say some words about the development of this idea and its applications as expounded in a subsequent work of Sophie Grivaux. For any countable group, and also for any locally compact second countable, compactly generated topological group, $G$, there exists a "universal" hypercyclic representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of $G$. I will discuss the original proof of this theorem (a joint work with Benjy Weiss) and then, at the end of the talk, say some words about ...

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## Ergodic theory and related fields :2004-2006 chapel hill workshops on probability and ergodic theory#Feb. 15-18 Assani, Idris | Amercian Mathematical Society 2007

Congrès

- 145 p.
ISBN 978-0-8218-3869-3

Contemporary mathematics , 0430

Localisation : Collection 1er étage

théorie ergodique # système dynamique @ transformation conservant la mesure # équivalence d'orbite # transformation de Hilbert

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## Recent progress on operator theory and approximation in spaces of analytic functions.Conference on completeness problems, Carleson measures, and spaces of analytic functions.Djursholm # June 29-July 3, 2015 Bénéteau, Catherine ; Condori, Alberto A. ; Liaw, Constanze ; Ross, William T. ; Sola, Alan A. | American Mathematical Society 2016

Congrès

- ix; 217 p.
ISBN 978-1-4704-2305-6

Contemporary mathematics , 0679

Localisation : Collection 1er étage

théorie des opérateurs # espace analytique # fonction analytique

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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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## The role of the spectrum in the cyclic behavior of composition operators Gallardo-Gutiérrez, Eva ; Montes-Rodriguez, Alfonso | American Mathematical Society 2004

Ouvrage

- 81 p.
ISBN 978-0-8218-3432-9

Memoirs of the american mathematical society , 0791

Localisation : Collection 1er étage

espace de fonction # opérateur linéaire # fonction de variable complexe # fonction hypergéométrique # opérateur de composistion # opérateur cyclique # opérateur supercyclique # opérateur hypercyclique # spectre # transformation de Fourier # mesure de Haar # zéro de fonction holomorphe # polynôme de Laguerre

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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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## Generalized semigroups and cosine functions Kostic, Marko | Matematicki Institut SANU 2011

Ouvrage

- vi; 352 p.
ISBN 978-86-80593-45-6

Posebna izdanja , 0023

Localisation : Ouvrage RdC (KOST)

théorie des opérateurs # fonction cosinus # problème mal posés # problème de Cauchy

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## Linear chaos Grosse-Erdmann, Karl-G. ; Peris Manguillot, Alfred | Springer 2011

Ouvrage

- xi; 386 p.
ISBN 978-1-4471-2169-5

Universitext

Localisation : Ouvrage RdC (GROS)

chaos # système dynamique linéaire # opérateur hypercyclique # opérateur chaotique # dynamique des semi-groupes

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