m

Documents  37A40 | enregistrements trouvés : 6

O
     

-A +A

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

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

​Assume that a renormalized Birkhoff sum $S_n f/B_n$ converges in distribution to a nontrivial limit. What can one say about the sequence $B_n$? Most natural statements in the literature involve sequences $B_n$ of the form $B_n = n^\alpha L(n)$, where $L$ is slowly varying. We will discuss the possible growth rate of $B_n$ both in the probability preserving case and the conservative case. In particular, we will describe examples where $B_n$ grows superpolynomially, or where $B_{n+1}/B_n$ does not tend to $1$. ​Assume that a renormalized Birkhoff sum $S_n f/B_n$ converges in distribution to a nontrivial limit. What can one say about the sequence $B_n$? Most natural statements in the literature involve sequences $B_n$ of the form $B_n = n^\alpha L(n)$, where $L$ is slowly varying. We will discuss the possible growth rate of $B_n$ both in the probability preserving case and the conservative case. In particular, we will describe examples where $B_n$ ...

37A40 ; 60F05

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- xvi; 316 p.
ISBN 978-1-4704-2299-8

Contemporary mathematics , 0678

Localisation : Collection 1er étage

théorie ergodique # système dynamique # John C. Oxtoby

37A05 ; 37B05 ; 37A40 ; 37B50 ; 37B10 ; 37A30 ; 37A20 ; 01A70

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Dynamical Systems and Ordinary Differential Equations

We obtain results on mixing and rates of mixing for infinite measure semiflows and flows. The results on rates of mixing rely on operator renewal theory and a Dolgopyat-type estimate. The results on mixing hold more generally and are based on a deterministic (ie non iid) version of Erickson's continuous time strong renewal theorem.

37A25 ; 37A40 ; 37A50 ; 37D25

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

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

The Gaussian functor associates to every orthogonal representation of a group G on a Hilbert space, a probability measure preserving action of G called a Gaussian action. This construction is a fundamental tool in ergodic theory and is the source of a large and interesting class of probability measure preserving actions. In this talk, I will present a generalization of the Gaussian functor which associates to every affine isometric action of G on a Hilbert space, a nonsingular Gaussian action which is not measure preserving. This provides a new and large class of nonsingular actions whose properties are related in a very subtle way to the geometry of the original affine isometric action. In some cases, such as affine isometric actions comming from groups acting on trees, a fascinating phase transition phenomenon occurs.This talk is based on a joint work with Yuki Arano and Yusuke Isono, as well as a more recent joint work with Stefaan Vaes. The Gaussian functor associates to every orthogonal representation of a group G on a Hilbert space, a probability measure preserving action of G called a Gaussian action. This construction is a fundamental tool in ergodic theory and is the source of a large and interesting class of probability measure preserving actions. In this talk, I will present a generalization of the Gaussian functor which associates to every affine isometric action of G ...

37A40 ; 20E08 ; 20F65 ; 28C20 ; 37A50

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- 125 p.
ISBN 978-2-7056-6670-5

Travaux en cours , 0066

Localisation : Ouvrage RdC (MAAS)

application préservant la mesure # shift de Bernouilli # isomorphisme d'Ornstein # comportement aux limites # moyenne temporelle de fonctions # théorie des nombres combinatoires # théorème de Szemeredi # théorème de Furstenberg # mesure de convergence # moyenne ergodique multiple # problème de reconstruction de scène

28D05 ; 28D10 ; 28D15 ; 28D20 ; 11K41 ; 22D40 ; 22D45 ; 37A05 ; 37A10 ; 37A15 ; 37A30 ; 37A35 ; 37A40 ; 47A35 ; 60F05 ; 60F10 ; 60F15 ; 60F17 ; 60G57 ; 60G60

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- ix; 262 p.
ISBN 978-0-8218-4420-5

Student mathematical library , 0042

Localisation : Collection 1er étage

système dynamique # théorie ergodique # mesure et intégartion # transformation conservant la mesure # théorie spectrale # opérateurs de Markov # transformations non singulières # dynamique symbolique # fonction mesurables et non mesurables # catégorie de Baire # espace de Baire

37A05 ; 37A25 ; 37A30 ; 37A40 ; 37B10 ; 28A05 ; 28A12 ; 28A20 ; 28D05 ; 54E52

... Lire [+]

Z