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Documents  Climenhaga, Vaughn | enregistrements trouvés : 6

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Research schools

Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach to non-uniformly hyperbolic systems. We will describe the general result, which makes precise the notion of "entropy (orpressure) of obstructions to specification" using a decomposition of the space of finite-length orbit segments, and then survey various applications, including factors of beta-shifts, derived-from-Anosov diffeomorphisms, and geodesic flows in non-positive curvature and beyond. Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach to non-uniformly hyperbolic systems. We will describe the general result, which makes precise the notion of "entropy (orpressure) of obstructions to s...

37D35 ; 37B10 ; 37B40

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Research schools

Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach to non-uniformly hyperbolic systems. We will describe the general result, which makes precise the notion of "entropy (orpressure) of obstructions to specification" using a decomposition of the space of finite-length orbit segments, and then survey various applications, including factors of beta-shifts, derived-from-Anosov diffeomorphisms, and geodesic flows in non-positive curvature and beyond. Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach to non-uniformly hyperbolic systems. We will describe the general result, which makes precise the notion of "entropy (orpressure) of obstructions to s...

37D35 ; 37B10 ; 37B40

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research schools

Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach to non-uniformly hyperbolic systems. We will describe the general result, which makes precise the notion of "entropy (orpressure) of obstructions to specification" using a decomposition of the space of finite-length orbit segments, and then survey various applications, including factors of beta-shifts, derived-from-Anosov diffeomorphisms, and geodesic flows in non-positive curvature and beyond. Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach to non-uniformly hyperbolic systems. We will describe the general result, which makes precise the notion of "entropy (orpressure) of obstructions to s...

37D35 ; 37B10 ; 37B40

... Lire [+]

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- xix; 420 p.
ISBN 978-1-4704-3479-3

Student mathematical library , 0081

Localisation : Collection 1er étage

théorie des groupes # théorie des nombres # topologie

20-01 ; 51-01 ; 20F65 ; 22E40 ; 51M05 ; 51M10 ; 54H15 ; 57M10 ; 57M60

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- xvi; 314 p.
ISBN 978-0-8218-4889-0

Student mathematical library , 0052

Localisation : Collection 1er étage

système dynamique # fractales # théorie de la dimension # ensemble de Cantor # dimension de Hausdorff # dynamique symbolique # mesure de Markov # entropie # exposants de Lyapunov # bifurcation # hyperbolicité # attracteur # chaos # modèle de Nagumo # système de Lorenz d'équations différentielles

37-01 ; 37C45 ; 37B10 ; 37D20 ; 37E05

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- xv; 286 p.
ISBN 978-0-8218-4679-7

Student mathematical library , 0046

Localisation : Collection 1er étage

surface # géométrie différentielle # classification topologique des surfaces # métrique de Riemann # triangulation

51-01 ; 53-01 ; 57N05 ; 53A05 ; 57R05 ; 53-02

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