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- 245 p.
ISBN 978-0-521-79660-6
London mathematical society lecture note series , 0279
Localisation : Collection 1er étage
dynamique symbolique # théorie ergodique # dynamique topologique # sous-groupe de Markov # automate fini # entropie topologique # classification topologique # problème diophantien # loi asymptotique # théorie combinatoire de Ramsey
37-06 ; 37Axx ; 37B10
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- ix; 258 p.
ISBN 978-1-4704-0931-9
Contemporary mathematics , 0631
Localisation : Collection 1er étage
système dynamique différentiable # théorie ergodique # théorie des nombres # mesure de probabilité sur des groupes # dynamique de Teichmüller # approximation Diophantienne # fonction itérative # marche aléatoire # système dynamique algébrique # S. G. Dani
22D40 ; 28D20 ; 37A15 ; 37A17 ; 37A20 ; 37A30 ; 37A35 ; 37B05 ; 37E35 ; 60B15 ; 37-06 ; 37Axx ; 00B25
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- 443 p.
ISBN
Astérisque , 0261
Localisation : Périodique 1er étage
théorème central limite # Collet-Eckmann # équisingularité # application de Henon # feuilletage holomorphe # mouvement holomorphe # orbite homocline # hyperbolicité # mesure invariante # itération # ensemble de Julia # application de Lorenz # ensemble de Mandelbrot # exposant de Lyapounov positif # application rationelle # mesure SRB # volume
30Cxx ; 30Dxx ; 30Fxx ; 32Axx ; 32Bxx ; 32Gxx ; 32Sxx ; 32Lxx ; 37Axx ; 37Cxx ; 37Dxx ; 37EXX ; 37-XX ; 52Axx ; 53Cxx ; 58Fxx
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- xxii; 266 p.
ISBN 978-2-85629-312-6
Séminaires et congrès , 0020
Localisation : Collection 1er étage
bêta-numération # application premier retour # applications d'intervalles # applications fer à cheval # applications monotones par morceaux # attracteurs # auto-couplage # automate cellulaire # cobord # convolutions de Bernoulli # décalages markoviens fortement positivement récurrents # développements glouton et paresseux # diagramme de Markov # dimension de Hausdorff # dynamique symbolique # dynamiques directionnelles # échelles de numération # entropie # feuilletage linéaire # flot géodésique # géométrie fractale # invariants par tricotage # mélange faible # mesure d'Erdös # mesure invariante # mesure invariante absolument continue # mesures de Gibbs et faiblement gibbsiennes # mesures d'entropie maximale # métrique euclidienne # nombre d'or # odomètre # orbites périodiques # partition markovienne # pistage # principe variationnel # problème de rigidité # rang faible # section transverse # sous-décalage de Toeplitz # surface plate # surface pointée # système dynamique # systèmes dynamiques en topologie et en combinatoire # systèmes dynamiques minimaux # systèmes dynamiques symboliques # théorie des suites de tricotage # théorie ergodique # transformation de rang un # zêta fonction de Artin-Mazur
bêta-numération # application premier retour # applications d'intervalles # applications fer à cheval # applications monotones par morceaux # attracteurs # auto-couplage # automate cellulaire # cobord # convolutions de Bernoulli # décalages markoviens fortement positivement récurrents # développements glouton et paresseux # diagramme de Markov # dimension de Hausdorff # dynamique symbolique # dynamiques directionnelles # échelles de numération # ...
11A67 ; 11K55 ; 15A48 ; 28A12 ; 28D05 ; 28D20 ; 32G15 ; 37Axx ; 37B05 ; 37B10 ; 37B15 ; 37D40 ; 37D45 ; 37E05 ; 30F30 ; 53D25 ; 57R30
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- 195 p.
ISBN 978-0-8218-2079-7
Contemporary mathematics , 0290
Localisation : Collection 1er étage
théorie des nombres # système dynamique # fonction zeta # fonction zeta dynamique # fonction zeta spectrale # fonction zeta de Riemann # fonction zeta arithmétique # groupe modulaire # opérateur de transfert # calcul analytique # formule trace dynamique # distribution de nombre premier # groupe kleinien # théorie ergodique # fonctin L automorphe # fonction L de Artin # fractale
11F67 ; 11Mxx ; 11Y35 ; 11N05 ; 28A80 ; 30F40 ; 37Axx ; 58J35
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- 350 p.
Proceedings of the Steklov institute of mathematics , 0231
Localisation : Collection 1er étage
action de groupe # automate # dynamique # groupe infini # opérateur de Hecke # opérateur de Markov # opérateur de dualité de Poincaré # problème de Ulam # stabilité des quasi-homonorphismes # système dynamique noncommutatif # théorie des groupes # théorie ergodique
20B07 ; 20K30 ; 37A30 ; 37Axx ; 37C85
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- 258 p.
ISBN 978-0-8218-3351-3
Contemporary mathematics , 0347
Localisation : Collection 1er étage
géométrie différentielle # analyse mathématique # analyse géométrique # noyau de chaleur # marche aléatoire # limite de Poisson sur les groupes discrets # graphe
20-06 ; 60-06 ; 37-06 ; 52-06 ; 52Cxx ; 37Axx
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- 291 p.
ISBN 978-0-521-78644-7
London mathematical society lecture note series , 0277
Localisation : Collection 1er étage
théorie descriptive des ensembles # système dynamique # théorie ergodique # dynamique topologique # théorème de récurrence de Poincaré # groupe d'automorphisme # espace de mesure # cocycle # dynamique descriptive
03E15 ; 37-06 ; 37Axx ; 37B05 ; 54H20
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Research talks;Dynamical Systems and Ordinary Differential Equations
Sixty years ago Paul Halmos concluded his Lectures on Ergodic Theory with a chapter Unsolved Problems which contained a list of ten problems. I will discuss some of these and some of the work that has been done on them. He considered actions of $\mathbb{Z}$ but I will also widen the scope to actions of general countable groups.
37Axx ; 37B05
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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 ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
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 ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
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 ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
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 ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
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 ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
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 ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
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 ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
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 ...
05D10 ; 37Axx ; 12D10 ; 11D41 ; 54D80 ; 37B20
... Lire [+]
