Coverart for item
The Resource Ergodic Theory and Dynamical Systems, by Yves Coudène, (electronic resource)

Ergodic Theory and Dynamical Systems, by Yves Coudène, (electronic resource)

Label
Ergodic Theory and Dynamical Systems
Title
Ergodic Theory and Dynamical Systems
Statement of responsibility
by Yves Coudène
Creator
Subject
Language
eng
Summary
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors. Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Coudène, Yves
Dewey number
515.39
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • Universitext,
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
Label
Ergodic Theory and Dynamical Systems, by Yves Coudène, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4471-7287-1
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Part I Ergodic Theory -- The Mean Ergodic Theorem -- The Pointwise Ergodic Theorem -- Mixing -- The Hopf Argument -- Part II Dynamical Systems -- Topological Dynamics -- Nonwandering -- Conjugation -- Linearization -- A Strange Attractor -- Part III Entropy Theory -- Entropy -- Entropy and Information Theory -- Computing Entropy -- Part IV Ergodic Decomposition -- Lebesgue Spaces and Isomorphisms -- Ergodic Decomposition -- Measurable Partitions and -Algebras -- Part V Appendices -- Weak Convergence -- Conditional Expectation -- Topology and Measures -- References
Control code
978-1-4471-7287-1
Dimensions
unknown
Extent
1 online resource (XIII, 190 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781447172871
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-7287-1
Other physical details
49 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)963837221
Label
Ergodic Theory and Dynamical Systems, by Yves Coudène, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4471-7287-1
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Part I Ergodic Theory -- The Mean Ergodic Theorem -- The Pointwise Ergodic Theorem -- Mixing -- The Hopf Argument -- Part II Dynamical Systems -- Topological Dynamics -- Nonwandering -- Conjugation -- Linearization -- A Strange Attractor -- Part III Entropy Theory -- Entropy -- Entropy and Information Theory -- Computing Entropy -- Part IV Ergodic Decomposition -- Lebesgue Spaces and Isomorphisms -- Ergodic Decomposition -- Measurable Partitions and -Algebras -- Part V Appendices -- Weak Convergence -- Conditional Expectation -- Topology and Measures -- References
Control code
978-1-4471-7287-1
Dimensions
unknown
Extent
1 online resource (XIII, 190 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781447172871
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4471-7287-1
Other physical details
49 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)963837221

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