MARC details
000 -LEADER |
fixed length control field |
02465 a2200277 4500 |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2013942381 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319005478 (alk. paper) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
3319005472 (alk. paper) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319005485 (eISBN) |
050 00 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA611.3 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.39 |
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
-- |
32261 |
-- |
32261 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Barreira, Luis |
245 10 - TITLE STATEMENT |
Title |
Dimension theory of hyperbolic flows |
Statement of responsibility, etc. |
Luis Barreira |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
Cham ; |
-- |
New York : |
Name of publisher, distributor, etc. |
Springer, |
Date of publication, distribution, etc. |
c2013. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
x, 158 p. : |
Other physical details |
ill. ; |
Dimensions |
25 cm. |
490 1# - SERIES STATEMENT |
Series statement |
Springer monographs in mathematics |
546 ## - LANGUAGE NOTE |
Language note |
eng |
500 ## - GENERAL NOTE |
General note |
Bibliografie p. 151<br/>Index p.157<br/> |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
1. Introduction -- 2. Suspension flows -- 3. Hyperbolic flows -- 4. Pressure and dimension -- 5. Dimension of hyperbolic sets -- 6. Pointwise dimension and applications -- 7. Suspensions over symbolic dynamics -- 8. Multifractal analysis of hyperbolic flows -- 9. Entropy spectra -- 10. Multidimensional spectra -- 11. Dimension spectra. |
520 3# - SUMMARY, ETC. |
Summary, etc. |
The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs.The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material -- |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Dimension theory (Algebra) |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Differential equations, Hyperbolic |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Springer monographs in mathematics |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Institution code [OBSOLETE] |
IMAR |
Koha item type |
Carti |
Call number prefix |
515.39 |
Serial record flag |
EP |