Lectures on ergodic theory and Pesin theory on compact manifolds /:
Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader with a straightforward account of this theory, following the approaches of Katok and Newhouse. The notes are divided into two parts. The first develops the basi...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY, USA :
Cambridge University Press,
1993.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
180. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader with a straightforward account of this theory, following the approaches of Katok and Newhouse. The notes are divided into two parts. The first develops the basic theory, starting with general ergodic theory and introducing Liapunov exponents. Part Two deals with the applications of Pesin theory and contains an account of the existence (and distribution) of periodic points. It closes with a look at stable manifolds, and gives some results on absolute continuity. These lecture notes provide a unique introduction to Pesin theory and its applications. The author assumes that the reader has only a good background of undergraduate analysis and nothing further, so making the book accessible to complete newcomers to the field. |
| Beschreibung: | 1 online resource (ix, 162 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 155-159) and index. |
| ISBN: | 9781107088412 1107088410 9780511752537 0511752539 1299707068 9781299707061 1139886444 9781139886444 1107094623 9781107094628 1107100437 9781107100435 1107091411 9781107091412 1107102928 9781107102927 |
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| series2 | London Mathematical Society lecture note series ; |
| spelling | Pollicott, Mark. Lectures on ergodic theory and Pesin theory on compact manifolds / Mark Pollicott. Cambridge ; New York, NY, USA : Cambridge University Press, 1993. 1 online resource (ix, 162 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 180 Includes bibliographical references (pages 155-159) and index. Print version record. English. Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader with a straightforward account of this theory, following the approaches of Katok and Newhouse. The notes are divided into two parts. The first develops the basic theory, starting with general ergodic theory and introducing Liapunov exponents. Part Two deals with the applications of Pesin theory and contains an account of the existence (and distribution) of periodic points. It closes with a look at stable manifolds, and gives some results on absolute continuity. These lecture notes provide a unique introduction to Pesin theory and its applications. The author assumes that the reader has only a good background of undergraduate analysis and nothing further, so making the book accessible to complete newcomers to the field. Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Théorie ergodique. Variétés (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ergodic theory fast Manifolds (Mathematics) fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Diffeomorphismus gnd http://d-nb.info/gnd/4149767-3 Ergodiciteit. gtt Manifolds. gtt Théorie ergodique. ram Variétés (Mathématiques) ram Print version: Pollicott, Mark. Lectures on ergodic theory and Pesin theory on compact manifolds. Cambridge ; New York, NY, USA : Cambridge University Press, 1993 0521435935 (DLC) 92032953 (OCoLC)26633837 London Mathematical Society lecture note series ; 180. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569322 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569322 Volltext |
| spellingShingle | Pollicott, Mark Lectures on ergodic theory and Pesin theory on compact manifolds / London Mathematical Society lecture note series ; Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Théorie ergodique. Variétés (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ergodic theory fast Manifolds (Mathematics) fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Diffeomorphismus gnd http://d-nb.info/gnd/4149767-3 Ergodiciteit. gtt Manifolds. gtt Théorie ergodique. ram Variétés (Mathématiques) ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85044600 http://id.loc.gov/authorities/subjects/sh85080549 http://d-nb.info/gnd/4015246-7 http://d-nb.info/gnd/4149767-3 |
| title | Lectures on ergodic theory and Pesin theory on compact manifolds / |
| title_auth | Lectures on ergodic theory and Pesin theory on compact manifolds / |
| title_exact_search | Lectures on ergodic theory and Pesin theory on compact manifolds / |
| title_full | Lectures on ergodic theory and Pesin theory on compact manifolds / Mark Pollicott. |
| title_fullStr | Lectures on ergodic theory and Pesin theory on compact manifolds / Mark Pollicott. |
| title_full_unstemmed | Lectures on ergodic theory and Pesin theory on compact manifolds / Mark Pollicott. |
| title_short | Lectures on ergodic theory and Pesin theory on compact manifolds / |
| title_sort | lectures on ergodic theory and pesin theory on compact manifolds |
| topic | Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Théorie ergodique. Variétés (Mathématiques) MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Ergodic theory fast Manifolds (Mathematics) fast Ergodentheorie gnd http://d-nb.info/gnd/4015246-7 Diffeomorphismus gnd http://d-nb.info/gnd/4149767-3 Ergodiciteit. gtt Manifolds. gtt Théorie ergodique. ram Variétés (Mathématiques) ram |
| topic_facet | Ergodic theory. Manifolds (Mathematics) Théorie ergodique. Variétés (Mathématiques) MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Ergodic theory Ergodentheorie Diffeomorphismus Ergodiciteit. Manifolds. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569322 |
| work_keys_str_mv | AT pollicottmark lecturesonergodictheoryandpesintheoryoncompactmanifolds |