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Ergodic Theory on Compact Spaces
other
Author(s):
Manfred Denker
,
Christian Grillenberger
,
Karl Sigmund
Publication date
(Print):
1976
Publisher:
Springer Berlin Heidelberg
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Related collections
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
Author and book information
Book
ISBN (Print):
978-3-540-07797-8
ISBN (Electronic):
978-3-540-38263-8
Publication date (Print):
1976
DOI:
10.1007/BFb0082364
SO-VID:
2ea5a78d-4deb-4f6b-ad55-f0ee7c06cec4
License:
http://www.springer.com/tdm
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Book chapters
pp. 3
Measure-theoretic dynamical systems
pp. 8
Measures on compact metric spaces
pp. 17
Invariant measures for continuous tranformations
pp. 20
Time averages
pp. 23
Ergodicity
pp. 30
Mixing and transitivity
pp. 36
Shifts and subshifts
pp. 41
Measures on the shift space
pp. 49
Partitions and generators
pp. 56
Information and entropy
pp. 62
The computation of entropy
pp. 68
Entropy for Bernoulli and Markov shifts
pp. 73
Ergodic decompositions
pp. 92
Topological generators
pp. 103
Expansive homeomorphisms
pp. 117
Subshifts of finite type
pp. 147
Measures with maximal entropy—Intrinsically ergodic systems
pp. 160
Entropy—Expansive homeomorphisms
pp. 193
The specification property
pp. 210
Specification and expansiveness
pp. 224
Basic sets for axiom A
pp. 234
Automorphisms of the torus
pp. 241
More on subshifts of finite type
pp. 254
Preparations for generator theorems
pp. 275
Combinatorial construction of minimal sets
pp. 281
Finite generators for ergodic transformations (theorem of Krieger)
pp. 300
Strictly ergodic embedding (Theorem of Jewett and Krieger)
pp. 309
Finite generators for aperiodic transformations
pp. 316
Embedding theorems for aperiodic transformations
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