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LEADER 03639cam 2200517 i 4500
001
on1361694768
003
OCoLC
005
20231106090725.0
008
221103s2023 riua b 001 0 eng
010
a| 2022050423
020
a| 9781470470654
q| hardcover
020
a| 1470470659
q| hardcover
020
a| 9781470473075
q| paperback
020
a| 1470473070
q| paperback
020
z| 9781470473068
q| electronic book
035
a| (Sirsi) o1361694768
035
a| (OCoLC)1361694768
040
a| DLC
b| eng
e| rda
c| DLC
d| OCLCF
d| YDX
d| SFB
d| UtOrBLW
042
a| pcc
049
a| EREE
050
0
0
a| QA611.5
b| .B37 2023
082
0
0
a| 515/.39
2| 23/eng20230117
084
a| 37D25
a| 37C40
2| msc
100
1
a| Barreira, Luís,
d| 1968-
e| author.
=| ^A503932
245
1
0
a| Introduction to smooth ergodic theory /
c| Luís Barreira, Yakov Pesin.
250
a| Second edition.
264
1
a| Providence, Rhode Island :
b| American Mathematical Society,
c| [2023]
300
a| xv, 336 pages :
b| illustrations ;
c| 26 cm.
336
a| text
b| txt
2| rdacontent
337
a| unmediated
b| n
2| rdamedia
338
a| volume
b| nc
2| rdacarrier
490
1
a| Graduate studies in mathematics ;
v| 231
504
a| Includes bibliographical references and index.
520
a| "This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second discusses more advanced topics. In particular, the book describes the general theory of Lyapunov exponents and its applications to the stability theory of differential equations, the concept of nonuniform hyperbolicity, stable manifold theory (with emphasis on absolute continuity of invariant foliations), and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. A detailed description of all the basic examples of conservative systems with nonzero Lyapunov exponents, including the geodesic flows on compact surfaces of nonpositive curvature, is also presented. There are more than 80 exercises. The book is aimed at graduate students specializing in dynamical systems and ergodic theory as well as anyone who wishes to get a working knowledge of smooth ergodic theory and to learn how to use its tools. It can also be used as a source for special topics courses on nonuniform hyperbolicity. The only prerequisite for using this book is a basic knowledge of real analysis, measure theory, differential equations, and topology, although the necessary background definitions and results are provided. In this second edition, the authors improved the exposition and added more exercises to make the book even more student-oriented. They also added new material to bring the book more in line with the current research in dynamical systems."-- Back cover.
650
0
a| Ergodic theory.
=| ^A15765
650
0
a| Topological dynamics.
=| ^A18060
650
7
a| Ergodic theory.
2| fast
0| (OCoLC)fst00914656
650
7
a| Topological dynamics.
2| fast
0| (OCoLC)fst01152680
650
7
a| Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
2| msc
650
7
a| Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Smooth ergodic theory, invariant measures.
2| msc
700
1
a| Pesin, Ya. B.
e| author.
=| ^A388665
830
0
a| Graduate studies in mathematics ;
v| v. 231.
=| ^A347883
994
a| C0
b| ERE
596
a| 1
998
a| 6156034
999
a| QA611.5 .B37 2023
w| LC
c| 1
i| 30372017353928
d| 9/19/2023
e| 9/19/2023
l| JGES
m| JOYNER
r| Y
s| Y
t| JGESBK
u| 6/15/2023
x| BOOK
z| JSTACKS
o| .STAFF. jjlm