Quasiconformal surgery in holomorphic dynamics:
Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2014
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| Schriftenreihe: | Cambridge studies in advanced mathematics
141 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a general description of surgery techniques before turning their attention to a wide variety of applications. They demonstrate the different types of surgeries that lie behind many important results in holomorphic dynamics, dealing in particular with Julia sets and the Mandelbrot set. Two of these surgeries go beyond the classical realm of quasiconformal surgery and use trans-quasiconformal surgery. Another deals with holomorphic correspondences, a natural generalization of holomorphic maps. The book is ideal for graduate students and researchers requiring a self-contained text including a variety of applications. It particularly emphasises the geometrical ideas behind the proofs, with many helpful illustrations seldom found in the literature |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvii, 413 pages) |
| ISBN: | 9781107337602 |
| DOI: | 10.1017/CBO9781107337602 |
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| 100 | 1 | |a Branner, Bodil |d 1943- |e Verfasser |0 (DE-588)14180064X |4 aut | |
| 245 | 1 | 0 | |a Quasiconformal surgery in holomorphic dynamics |c Bodil Branner and Núria Fagella ; with contributions by Xavier Buff [and eight others] |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2014 | |
| 300 | |a 1 online resource (xvii, 413 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 141 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Machine generated contents note: Preface; Introduction; 1. Quasiconformal geometry; 2. Extensions and interpolations; 3. Preliminaries on dynamical systems and actions of Kleinian groups; 4. Introduction to surgery and first occurrences; 5. General principles of surgery; 6. Soft surgeries with a contribution by X. Buff and C. Henriksen; 7. Cut and paste surgeries with contributions by K. M. Pilgrim, Tan Lei and S. Bullett; 8. Cut and paste surgeries with sectors with a contribution by A. L. Epstein and M. Yampolsky; 9. Trans-quasiconformal surgery with contributions by C. L. Petersen and P. Hai;ssinsky; Bibliography; Symbol index; Index | |
| 520 | |a Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a general description of surgery techniques before turning their attention to a wide variety of applications. They demonstrate the different types of surgeries that lie behind many important results in holomorphic dynamics, dealing in particular with Julia sets and the Mandelbrot set. Two of these surgeries go beyond the classical realm of quasiconformal surgery and use trans-quasiconformal surgery. Another deals with holomorphic correspondences, a natural generalization of holomorphic maps. The book is ideal for graduate students and researchers requiring a self-contained text including a variety of applications. It particularly emphasises the geometrical ideas behind the proofs, with many helpful illustrations seldom found in the literature | ||
| 650 | 4 | |a Holomorphic mappings | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Kleinian groups | |
| 650 | 4 | |a Global analysis (Mathematics) | |
| 700 | 1 | |a Fagella, Núria |e Sonstige |0 (DE-588)1073323862 |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-107-04291-9 |
| 830 | 0 | |a Cambridge studies in advanced mathematics |v 141 |w (DE-604)BV044781283 |9 141 | |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781107337602 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
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Datensatz im Suchindex
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| author | Branner, Bodil 1943- |
| author_GND | (DE-588)14180064X (DE-588)1073323862 |
| author_facet | Branner, Bodil 1943- |
| author_role | aut |
| author_sort | Branner, Bodil 1943- |
| author_variant | b b bb |
| building | Verbundindex |
| bvnumber | BV043941036 |
| classification_rvk | SK 350 |
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| contents | Machine generated contents note: Preface; Introduction; 1. Quasiconformal geometry; 2. Extensions and interpolations; 3. Preliminaries on dynamical systems and actions of Kleinian groups; 4. Introduction to surgery and first occurrences; 5. General principles of surgery; 6. Soft surgeries with a contribution by X. Buff and C. Henriksen; 7. Cut and paste surgeries with contributions by K. M. Pilgrim, Tan Lei and S. Bullett; 8. Cut and paste surgeries with sectors with a contribution by A. L. Epstein and M. Yampolsky; 9. Trans-quasiconformal surgery with contributions by C. L. Petersen and P. Hai;ssinsky; Bibliography; Symbol index; Index |
| ctrlnum | (ZDB-20-CBO)CR9781107337602 (OCoLC)992847498 (DE-599)BVBBV043941036 |
| dewey-full | 515/.98 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.98 |
| dewey-search | 515/.98 |
| dewey-sort | 3515 298 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107337602 |
| format | Electronic eBook |
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| id | DE-604.BV043941036 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9781107337602 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350005 |
| oclc_num | 992847498 |
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| owner_facet | DE-12 DE-92 DE-83 DE-355 DE-BY-UBR |
| physical | 1 online resource (xvii, 413 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Branner, Bodil 1943- Verfasser (DE-588)14180064X aut Quasiconformal surgery in holomorphic dynamics Bodil Branner and Núria Fagella ; with contributions by Xavier Buff [and eight others] Cambridge Cambridge University Press 2014 1 online resource (xvii, 413 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 141 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Machine generated contents note: Preface; Introduction; 1. Quasiconformal geometry; 2. Extensions and interpolations; 3. Preliminaries on dynamical systems and actions of Kleinian groups; 4. Introduction to surgery and first occurrences; 5. General principles of surgery; 6. Soft surgeries with a contribution by X. Buff and C. Henriksen; 7. Cut and paste surgeries with contributions by K. M. Pilgrim, Tan Lei and S. Bullett; 8. Cut and paste surgeries with sectors with a contribution by A. L. Epstein and M. Yampolsky; 9. Trans-quasiconformal surgery with contributions by C. L. Petersen and P. Hai;ssinsky; Bibliography; Symbol index; Index Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a general description of surgery techniques before turning their attention to a wide variety of applications. They demonstrate the different types of surgeries that lie behind many important results in holomorphic dynamics, dealing in particular with Julia sets and the Mandelbrot set. Two of these surgeries go beyond the classical realm of quasiconformal surgery and use trans-quasiconformal surgery. Another deals with holomorphic correspondences, a natural generalization of holomorphic maps. The book is ideal for graduate students and researchers requiring a self-contained text including a variety of applications. It particularly emphasises the geometrical ideas behind the proofs, with many helpful illustrations seldom found in the literature Holomorphic mappings Differentiable dynamical systems Kleinian groups Global analysis (Mathematics) Fagella, Núria Sonstige (DE-588)1073323862 oth Erscheint auch als Druck-Ausgabe 978-1-107-04291-9 Cambridge studies in advanced mathematics 141 (DE-604)BV044781283 141 https://doi.org/10.1017/CBO9781107337602 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Branner, Bodil 1943- Quasiconformal surgery in holomorphic dynamics Cambridge studies in advanced mathematics Machine generated contents note: Preface; Introduction; 1. Quasiconformal geometry; 2. Extensions and interpolations; 3. Preliminaries on dynamical systems and actions of Kleinian groups; 4. Introduction to surgery and first occurrences; 5. General principles of surgery; 6. Soft surgeries with a contribution by X. Buff and C. Henriksen; 7. Cut and paste surgeries with contributions by K. M. Pilgrim, Tan Lei and S. Bullett; 8. Cut and paste surgeries with sectors with a contribution by A. L. Epstein and M. Yampolsky; 9. Trans-quasiconformal surgery with contributions by C. L. Petersen and P. Hai;ssinsky; Bibliography; Symbol index; Index Holomorphic mappings Differentiable dynamical systems Kleinian groups Global analysis (Mathematics) |
| title | Quasiconformal surgery in holomorphic dynamics |
| title_auth | Quasiconformal surgery in holomorphic dynamics |
| title_exact_search | Quasiconformal surgery in holomorphic dynamics |
| title_full | Quasiconformal surgery in holomorphic dynamics Bodil Branner and Núria Fagella ; with contributions by Xavier Buff [and eight others] |
| title_fullStr | Quasiconformal surgery in holomorphic dynamics Bodil Branner and Núria Fagella ; with contributions by Xavier Buff [and eight others] |
| title_full_unstemmed | Quasiconformal surgery in holomorphic dynamics Bodil Branner and Núria Fagella ; with contributions by Xavier Buff [and eight others] |
| title_short | Quasiconformal surgery in holomorphic dynamics |
| title_sort | quasiconformal surgery in holomorphic dynamics |
| topic | Holomorphic mappings Differentiable dynamical systems Kleinian groups Global analysis (Mathematics) |
| topic_facet | Holomorphic mappings Differentiable dynamical systems Kleinian groups Global analysis (Mathematics) |
| url | https://doi.org/10.1017/CBO9781107337602 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT brannerbodil quasiconformalsurgeryinholomorphicdynamics AT fagellanuria quasiconformalsurgeryinholomorphicdynamics |