1.

Record Nr.

UNINA9910821331603321

Titolo

Ergodic theory : Probability and Ergodic Theory Workshops, February 15-18, 2007, February 14-17, 2008, University of North Carolina, Chapel Hill / / Idris Assani, editor

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2009]

©2009

ISBN

0-8218-8164-7

0-8218-4649-3

Descrizione fisica

1 online resource (171 p.)

Collana

Contemporary mathematics, ; 485 , 0271-4132

Disciplina

515/.48

Soggetti

Ergodic theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Contents --  Preface --  Injectivity of the Dubins-Freedman construction of random distributions --  A maximal inequality for the tail of the bilinear Hardy-Littlewood function --  Almost sure convergence of weighted sums of independent random variables --  Recurrence, ergodicity and invariant measures for cocycles over a rotation --  1. Invariant measures, regularity of a cocycle --  2. Growth of the ergodic sums over a rotation, application to recurrence --  3. Examples of ergodic BV Rd-cocycles --  4. Examples of non-regular cocycles --  5. Appendix : A Diophantine property for (α, β) --  References --  Examples of recurrent or transient stationary walks in Rd over a rotation of T2 --  1. A sufficient condition of recurrence for stationary walks --  2. Series with small denominators --  3. Growth in norm ll ll2 of the ergodic sums and recurrence --  4. An example of transient cocycle --  References --  A short proof of the unique ergodicity of horicyclic flows --  A-periodic order via dynamical systems: Diffraction for sets of finite local complexity --  Laws of iterated logarithm for weighted sums of iid random variables --  Homeomorphic Bernoulli trial measures and ergodic theory --  Distinguishing transformations by averaging methods --  Some open problems.