One-Dimensional Dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, A Series of Modern Surveys in Mathematics
25 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer's tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor) |
| Beschreibung: | 1 Online-Ressource (XIV, 606 p) |
| ISBN: | 9783642780431 9783642780455 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-78043-1 |
Internformat
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| 500 | |a One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer's tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor) | ||
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Datensatz im Suchindex
| _version_ | 1804153098174726144 |
|---|---|
| any_adam_object | |
| author | Melo, Welington |
| author_facet | Melo, Welington |
| author_role | aut |
| author_sort | Melo, Welington |
| author_variant | w m wm |
| building | Verbundindex |
| bvnumber | BV042422997 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863805130 (DE-599)BVBBV042422997 |
| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-78043-1 |
| format | Electronic eBook |
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| id | DE-604.BV042422997 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642780431 9783642780455 |
| issn | 0071-1136 |
| language | English |
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| publishDate | 1993 |
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| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, A Series of Modern Surveys in Mathematics |
| spelling | Melo, Welington Verfasser aut One-Dimensional Dynamics by Welington Melo, Sebastian Strien Berlin, Heidelberg Springer Berlin Heidelberg 1993 1 Online-Ressource (XIV, 606 p) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, A Series of Modern Surveys in Mathematics 25 0071-1136 One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer's tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor) Mathematics Distribution (Probability theory) Real Functions Probability Theory and Stochastic Processes Mathematik Dynamisches System (DE-588)4013396-5 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Diffeomorphismus (DE-588)4149767-3 gnd rswk-swf Dimension 1 (DE-588)4323094-5 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 s Diffeomorphismus (DE-588)4149767-3 s 1\p DE-604 Dimension 1 (DE-588)4323094-5 s 2\p DE-604 Dynamisches System (DE-588)4013396-5 s 3\p DE-604 Strien, Sebastian Sonstige oth https://doi.org/10.1007/978-3-642-78043-1 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Melo, Welington One-Dimensional Dynamics Mathematics Distribution (Probability theory) Real Functions Probability Theory and Stochastic Processes Mathematik Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Diffeomorphismus (DE-588)4149767-3 gnd Dimension 1 (DE-588)4323094-5 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4137931-7 (DE-588)4149767-3 (DE-588)4323094-5 |
| title | One-Dimensional Dynamics |
| title_auth | One-Dimensional Dynamics |
| title_exact_search | One-Dimensional Dynamics |
| title_full | One-Dimensional Dynamics by Welington Melo, Sebastian Strien |
| title_fullStr | One-Dimensional Dynamics by Welington Melo, Sebastian Strien |
| title_full_unstemmed | One-Dimensional Dynamics by Welington Melo, Sebastian Strien |
| title_short | One-Dimensional Dynamics |
| title_sort | one dimensional dynamics |
| topic | Mathematics Distribution (Probability theory) Real Functions Probability Theory and Stochastic Processes Mathematik Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Diffeomorphismus (DE-588)4149767-3 gnd Dimension 1 (DE-588)4323094-5 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Real Functions Probability Theory and Stochastic Processes Mathematik Dynamisches System Differenzierbares dynamisches System Diffeomorphismus Dimension 1 |
| url | https://doi.org/10.1007/978-3-642-78043-1 |
| work_keys_str_mv | AT melowelington onedimensionaldynamics AT striensebastian onedimensionaldynamics |