عنوان
پدید آورنده
موضوع
رده
QA611.3 .P47 1997
QA611
.
3
.
P47
1997
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0226662217
(Number (ISBN
0226662225
(Number (ISBN
9780226662213
(Number (ISBN
9780226662220
NATIONAL BIBLIOGRAPHY NUMBER
Number
b533504
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Dimension theory in dynamical systems :
General Material Designation
[Book]
Other Title Information
contemporary views and applications /
First Statement of Responsibility
Yakov B. Pesin
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Chicago :
Name of Publisher, Distributor, etc.
University of Chicago Press,
Date of Publication, Distribution, etc.
1997
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xi, 304 pages :
Other Physical Details
illustrations ;
Dimensions
24 cm
SERIES
Series Title
Chicago lectures in mathematics series
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 295-300) and index
SUMMARY OR ABSTRACT
Text of Note
In this book, Yakov B. Pesin introduces a new area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. Focusing on invariant fractals and their influence on stochastic properties of systems, Pesin provides a comprehensive and systematic treatment of modern dimension theory in dynamical systems, summarizes the current state of research, and describes the most important accomplishments of this field
Text of Note
Pesin's synthesis of these subjects of broad current research interest will be appreciated both by advanced mathematicians and by a wide range of scientists who depend upon mathematical modeling of dynamical processes. The book can also be used as a text for a special topics course in the theory of dynamical systems and dimension theory
Text of Note
Topics include, but are not restricted to, the general concept of dimension; the dimension interpretation of some well-known invariants of dynamical systems, such as topological and measure-theoretic entropies; formulas of dimension of some well-known hyperbolic invariant sets, such as Julia sets, horseshoes, and solenoids; mathematical analysis of dimensions that are most often used in applied research, such as correlation and information dimensions; and mathematical theory of invariant multifractals
TOPICAL NAME USED AS SUBJECT
Differentiable dynamical systems
Dimension theory (Topology)
système dynamique différentiable
topologie
DEWEY DECIMAL CLASSIFICATION
Number
515/
.
352
Edition
21
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA611
.
3
Book number
.
P47
1997
PERSONAL NAME - PRIMARY RESPONSIBILITY
Pesin, Ya. B
ORIGINATING SOURCE
Date of Transaction
20160203150225.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
