عنوان

Dimension and recurrence in hyperbolic dynamics /

(Number (ISBN

3764388811

(Number (ISBN

376438882X

(Number (ISBN

9783764388812

(Number (ISBN

9783764388829

Number

b782460

Title Proper

Dimension and recurrence in hyperbolic dynamics /

General Material Designation

[Book]

First Statement of Responsibility

Luis Barreira.

Place of Publication, Distribution, etc.

[London] :

Name of Publisher, Distributor, etc.

[Springer, distributor],

Date of Publication, Distribution, etc.

©2008.

Specific Material Designation and Extent of Item

1 online resource (xiv, 300 pages) :

Other Physical Details

illustrations

Series Title

Progress in mathematics ;

Volume Designation

272

Text of Note

Includes bibliographical references and index.

Text of Note

1. Dimension theory -- 2. Multifractal analysis : core theory -- 3. Multifractal analysis : further developments -- 4. Hyperbolicity and recurrence.

0

Text of Note

The main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence. It also gives a panorama of several selected topics of current research interest. More than half of the material appears here for the first time in book form, describing many recent developments in the area such as topics on irregular sets, variational principles, applications to number theory, measures of maximal dimension, multifractal nonrigidity, and quantitative recurrence. All the results are included with detailed proofs, many of them simplified or rewritten on purpose for the book. The text is self-contained and directed to researchers as well as graduate students that wish to have a global view of the theory together with a working knowledge of its main techniques. It will also be useful as as basis for graduate courses in dimension theory of dynamical systems, multifractal analysis, and pointwise dimension and recurrence in hyperbolic dynamics.

Source for Acquisition/Subscription Address

Springer

Stock Number

978-3-7643-8881-2

Title

Dimension and recurrence in hyperbolic dynamics.

International Standard Book Number

3764388811

Differentiable dynamical systems.

Dimension theory (Topology)

Hyperbolic groups.

Dynamique différentiable.

Groupes hyperboliques.

Théorie de la dimension (Topologie)

Differentiable dynamical systems.

Differentiable dynamical systems.

Dimension theory (Topology)

Dimension theory (Topology)

Hyperbolic groups.

Hyperbolic groups.

MATHEMATICS-- Topology.

MAT-- 038000

PBWR.

Number

Edition

Class number

Book number

Class number

System Code

Barreira, Luis,1968-

Date of Transaction

20201206205854.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y