Ergodic Theory and Differentiable Dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1987
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
8 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This version differs from the Portuguese edition only in a few additions and many minor corrections. Naturally, this edition raised the question of whether to use the opportunity to introduce major additions. In a book like this, ending in the heart of a rich research field, there are always further topics that should arguably be included. Subjects like geodesic flows or the role of Hausdorff dimension in contemporary ergodic theory are two of the most tempting gaps to fill. However, I let it stand with practically the same boundaries as the original version, still believing these adequately fulfill its goal of presenting the basic knowledge required to approach the research area of Differentiable Ergodic Theory. I wish to thank Dr. Levy for the excellent translation and several of the corrections mentioned above. Rio de Janeiro, January 1987 Ricardo Mane Introduction This book is an introduction to ergodic theory, with emphasis on its relationship with the theory of differentiable dynamical systems, which is sometimes called differentiable ergodic theory. Chapter 0, a quick review of measure theory, is included as a reference. Proofs are omitted, except for some results on derivatives with respect to sequences of partitions, which are not generally found in standard texts on measure and integration theory and tend to be lost within a much wider framework in more advanced texts |
| Beschreibung: | 1 Online-Ressource (XII, 319 p) |
| ISBN: | 9783642703355 9783642703379 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-70335-5 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153098064625664 |
|---|---|
| any_adam_object | |
| author | Mañé, Ricardo |
| author_facet | Mañé, Ricardo |
| author_role | aut |
| author_sort | Mañé, Ricardo |
| author_variant | r m rm |
| building | Verbundindex |
| bvnumber | BV042422951 |
| classification_tum | MAT 000 |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-70335-5 |
| format | Electronic eBook |
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| id | DE-604.BV042422951 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642703355 9783642703379 |
| issn | 0071-1136 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858368 |
| oclc_num | 863790184 |
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| physical | 1 Online-Ressource (XII, 319 p) |
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| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Springer Berlin Heidelberg |
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| series | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |
| spelling | Mañé, Ricardo Verfasser aut Ergodic Theory and Differentiable Dynamics by Ricardo Mañé Berlin, Heidelberg Springer Berlin Heidelberg 1987 1 Online-Ressource (XII, 319 p) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 8 0071-1136 This version differs from the Portuguese edition only in a few additions and many minor corrections. Naturally, this edition raised the question of whether to use the opportunity to introduce major additions. In a book like this, ending in the heart of a rich research field, there are always further topics that should arguably be included. Subjects like geodesic flows or the role of Hausdorff dimension in contemporary ergodic theory are two of the most tempting gaps to fill. However, I let it stand with practically the same boundaries as the original version, still believing these adequately fulfill its goal of presenting the basic knowledge required to approach the research area of Differentiable Ergodic Theory. I wish to thank Dr. Levy for the excellent translation and several of the corrections mentioned above. Rio de Janeiro, January 1987 Ricardo Mane Introduction This book is an introduction to ergodic theory, with emphasis on its relationship with the theory of differentiable dynamical systems, which is sometimes called differentiable ergodic theory. Chapter 0, a quick review of measure theory, is included as a reference. Proofs are omitted, except for some results on derivatives with respect to sequences of partitions, which are not generally found in standard texts on measure and integration theory and tend to be lost within a much wider framework in more advanced texts Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s Maßtheorie (DE-588)4074626-4 s 1\p DE-604 Differenzierbares dynamisches System (DE-588)4137931-7 s 2\p DE-604 Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 8 (DE-604)BV036692629 8 https://doi.org/10.1007/978-3-642-70335-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mañé, Ricardo Ergodic Theory and Differentiable Dynamics Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Ergodentheorie (DE-588)4015246-7 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4015246-7 (DE-588)4137931-7 (DE-588)4074626-4 |
| title | Ergodic Theory and Differentiable Dynamics |
| title_auth | Ergodic Theory and Differentiable Dynamics |
| title_exact_search | Ergodic Theory and Differentiable Dynamics |
| title_full | Ergodic Theory and Differentiable Dynamics by Ricardo Mañé |
| title_fullStr | Ergodic Theory and Differentiable Dynamics by Ricardo Mañé |
| title_full_unstemmed | Ergodic Theory and Differentiable Dynamics by Ricardo Mañé |
| title_short | Ergodic Theory and Differentiable Dynamics |
| title_sort | ergodic theory and differentiable dynamics |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Ergodentheorie (DE-588)4015246-7 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Ergodentheorie Differenzierbares dynamisches System Maßtheorie |
| url | https://doi.org/10.1007/978-3-642-70335-5 |
| volume_link | (DE-604)BV036692629 |
| work_keys_str_mv | AT manericardo ergodictheoryanddifferentiabledynamics |