Foundations of ergodic theory
Viana, Marcelo
Foundations of ergodic theory created by Marcelo Viana and Krerley Oliveira - Cambridge Cambridge University Press 2016 - 530 pages ill. 24 cm - Cambridge studies in advanced mathematics 151 .
Includes bibliographical references and index
Recurrence -- Existence of invariant measures -- Ergodic theorems -- Ergodicity -- Ergodic decomposition -- Unique ergodicity -- Correlations -- Equivalent systems -- Entropy -- Variational principle -- Expanding maps -- Thermodynamic formalism -- Appendix A. Topics in measure theory, topology and analysis
Rich with examples, applications and over 400 exercises, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. It requires few prerequisites, beginning with elementary material suitable for undergraduate students and gradually building up to more sophisticated topics.
9781107126961
Ergodic theory--Textbooks
Topology--Textbooks
Foundations of ergodic theory created by Marcelo Viana and Krerley Oliveira - Cambridge Cambridge University Press 2016 - 530 pages ill. 24 cm - Cambridge studies in advanced mathematics 151 .
Includes bibliographical references and index
Recurrence -- Existence of invariant measures -- Ergodic theorems -- Ergodicity -- Ergodic decomposition -- Unique ergodicity -- Correlations -- Equivalent systems -- Entropy -- Variational principle -- Expanding maps -- Thermodynamic formalism -- Appendix A. Topics in measure theory, topology and analysis
Rich with examples, applications and over 400 exercises, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. It requires few prerequisites, beginning with elementary material suitable for undergraduate students and gradually building up to more sophisticated topics.
9781107126961
Ergodic theory--Textbooks
Topology--Textbooks