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# Documents  37B20 | enregistrements trouvés : 16

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## Chapel Hill ergodic theory workshop :workshops at the University of North Carolina#June 8-9#Feb. 14-16 Assani, Idris | American Mathematical Society 2004

Congrès

- 169 p.
ISBN 978-0-8218-3313-1

Contemporary mathematics , 0356

Localisation : Collection 1er étage

théorie ergodique # ensemble de Mycielski # transformation de Hilbert # dualité # dynamique topologique # théorème de Georges Sell # loi des grands nombres # théorème ergodique pondéré # suite lacunaire # tour de Rikhlin

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## Mutually enriching connections between ergodic theory and combinatorics - part 8 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

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## Mutually enriching connections between ergodic theory and combinatorics - part 7 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 6 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 5 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 4 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 3 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 2 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Mutually enriching connections between ergodic theory and combinatorics - part 1 Bergelson, Vitaly | CIRM H

Multi angle

Research schools;Combinatorics;Dynamical Systems and Ordinary Differential Equations

* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of this result. Third principle: The sought-after configurations which are always to be found in large sets are abundant.

* Furstenberg's Dynamical approach :
Partition Ramsey theory and topological dynamics Dynamical versions of van der Waerden's theorem, Hindman's theorem and Graham-Rothschild-Spencer's geometric Ramsey.
Density Ramsey theory and Furstenberg's correspondence principle Furstenberg's correspondence principle. Ergodic Szemeredi's theorem. Polynomial Szemeredi theorem. Density version of the Hales-Jewett theorem.

* Stone-Cech compactifications and Hindman's theorem :
Topological algebra in Stone-Cech compactifications. Proof of Hind-man's theorem via Poincare recurrence theorem for ultrafilters.

* IP sets and ergodic Ramsey theory :
Applications of IP sets and idempotent ultrafilters to ergodic-theoretical multiple recurrence and to density Ramsey theory. IP-polynomial Szemeredi theorem.

* Open problems and conjectures

If time permits:
* The nilpotent connection,
* Ergodic Ramsey theory and amenable groups
* The early results of Ramsey theory :
Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres.

* Three main principles of Ramsey theory :
First principle: Complete disorder is impossible. Second principle: Behind every 'Partition' result there is a notion of largeness which is responsible for a 'Density' enhancement of ...

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## Hitting time statistics for random dynamical systems Rousseau, Jérôme | CIRM H

Multi angle

Research talks;Dynamical Systems and Ordinary Differential Equations;Probability and Statistics

We study law of rare events for random dynamical systems. We obtain an exponential law (with respect to the invariant measure of the skew-product) for super-polynomially mixing random dynamical systems.
For random subshifts of finite type, we analyze the distribution of hitting times with respect to the sample measures. We prove that with a superpolynomial decay of correlations one can get an exponential law for almost every point and with stronger mixing assumptions one can get a law of rare events depending on the extremal index for every point. (These are joint works with Benoit Saussol and Paulo Varandas, and Mike Todd).
We study law of rare events for random dynamical systems. We obtain an exponential law (with respect to the invariant measure of the skew-product) for super-polynomially mixing random dynamical systems.
For random subshifts of finite type, we analyze the distribution of hitting times with respect to the sample measures. We prove that with a superpolynomial decay of correlations one can get an exponential law for almost every point and with ...

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## Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz.Volume 1 Crovisier, Sylvain ; Krikorian, Raphaël ; Matheus, Carlos ; Senti, Samuel | Société Mathématique de France 2020

Ouvrage

- xxvii; 274 p.
ISBN 978-2-85629-916-6

Astérisque , 0415

Localisation : Périodique 1er étage

actions de groupes paraboliques # automorphismes polynomiaux de $\mathbb{C}^{2}$ # Birkhoff # cocycles projectivisés # combinatoire # compacité # courbe analytique réelle # courbes férales # courbes pseudoholomorphiques # décomposition de Thurston-Nielsen # diagramme de cordes # diagramme de Rauzy # diagramme de séparatrices # dimensions # distribution de Cauchy # distribution uniforme # éclatement # ensembles de Cantor réguliers # espaces des modules des différentielles abéliennes # exposants de Lyapunov # graphe distance héréditaire # groupe nilpotent # lemme de fermeture ergodique # mécanique des fluides numérique # mesures invariantes # nombre d'enlacement # nombre de rotation # opérade # Poincaré # point fixe # quasi-périodicité # récurrence par chaînes # revêtement infini cyclique # rotations du cercle # singularité # spectres dynamiques de Markov et Lagrange # surface à petits carreaux # systèmes dynamiques # théorèmes limites "annealed" # théorèmes limites pour les moyennes temporelles # volume de Masur-Veech actions de groupes paraboliques # automorphismes polynomiaux de $\mathbb{C}^{2}$ # Birkhoff # cocycles projectivisés # combinatoire # compacité # courbe analytique réelle # courbes férales # courbes pseudoholomorphiques # décomposition de Thurston-Nielsen # diagramme de cordes # diagramme de Rauzy # diagramme de séparatrices # dimensions # distribution de Cauchy # distribution uniforme # éclatement # ensembles de Cantor réguliers # espaces des ...

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## Nilpotent structures in ergodic theory Host, Bernard ; Kra, Bryna | American Mathematical Society 2018

Ouvrage

- x; 427 p.
ISBN 978-1-4704-4780-9

Mathematical surveys and monographs , 0236

Localisation : Collection 1er étage

théorie ergodique # isomorphisme # structure nilpotente # nilsystème # structure cubique

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## Topological dynamical systems:an introduction to the dynamics of continuous mappings Vries, Jan de | Walter De Gruyter 2014

Ouvrage

- xv; 498 p.
ISBN 978-3-11-034073-0

De Gruyter studies in mathematics , 0059

Localisation : Ouvrage RdC (VRIE)

dynamique topologique # point périodique # invariant # transitivité # conjugué # graphe de Markov # récurrence # espace de décalage # partition topologique # fer à cheval # espace de Cantor

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## The topological dynamics of Ellis actions Akin, Ethan ; Auslander, Joseph ; Glasner, Eli | American Mathematical Society 2008

Ouvrage

- 152 p.
ISBN 978-0-8218-4188-4

Memoirs of the american mathematical society , 0913

Localisation : Collection 1er étage

semigroupe topologique # transformation topologique # semigroupe Ellis # système dynamique # recurrence # minimal # distal # mélangeage faible

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## Recurrence and topology Alongi, John M. ; Nelson, Gail S. | Amercian Mathematical Society 2007

Ouvrage

- 221 p.
ISBN 978-0-8218-4234-8

Graduate studies in mathematics , 0085

Localisation : Collection 1er étage

systèmes dynamiques # théorie ergodique # topologie dynamique # récurrence # fonction de Lyapunov # système dynamique lisse # points fixes # points périodiques # trajectoire approchée # attracteur

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## The dynamics of Inner functions Doering, C. I. ; Mañé, R. | Department Of Mathematics;IMPA 1991

Ouvrage

- 79 p.

Ensaios Matematicos , 0003

Localisation : Ouvrage RdC (DOER)

fonction harmonique # théorème de Denjoy-Wolff # fonction intérieure # ergodicité # récurrence

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