Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces:
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| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
July 2018
|
| Series: | Memoirs of the American Mathematical Society
volume 254, number 1215 (third of 5 numbers) |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | v, 137, 4 ungezählte Seiten |
| ISBN: | 9781470428860 |
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MARC
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| 245 | 1 | 0 | |a Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces |c Lior Fishman, David E. Simmons, Mariusz Urbański |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c July 2018 | |
| 264 | 4 | |c © 2018 | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 254, number 1215 (third of 5 numbers) | |
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Record in the Search Index
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| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Gromov hyperbolic metric spaces 23
Chapter 3. Basic facts about Diophantine approximation 39
Chapter 4. Schmidt’s game and McMullen’s absolute game 41
Chapter 5. Partition structures 47
Chapter 6. Proof of Theorem 6.1 (Absolute winning of BA^) 59
Chapter 7. Proof of Theorem 7.1 (Generalization of the Jarrhk-Besicovitch
Theorem) 65
Chapter 8. Proof of Theorem 8.1 (Generalization of Khinchin’s Theorem) 93
Chapter 9. Proof of Theorem 9.3 (BA^ has full dimension in Ar(G)) 111
Appendix A. Any function is an orbital counting function for some parabolic
group 115
Appendix B. Real, complex, and quaternionic hyperbolic spaces 119
Appendix C. The potential function game 123
Appendix D. Proof of Theorem 6.1 using the H-potential game, where H =
points 129
Appendix E. Winning sets and partition structures 131
References 133
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| any_adam_object | 1 |
| author | Fishman, Lior 1964- Simmons, David E. Urbański, Mariusz 1958- |
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| language | English |
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| physical | v, 137, 4 ungezählte Seiten |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Fishman, Lior 1964- (DE-588)1165679922 aut Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces Lior Fishman, David E. Simmons, Mariusz Urbański Providence, Rhode Island American Mathematical Society July 2018 © 2018 v, 137, 4 ungezählte Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 254, number 1215 (third of 5 numbers) Simmons, David E. (DE-588)17142302X aut Urbański, Mariusz 1958- (DE-588)120432684 aut Memoirs of the American Mathematical Society volume 254, number 1215 (third of 5 numbers) (DE-604)BV008000141 1215 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030569755&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fishman, Lior 1964- Simmons, David E. Urbański, Mariusz 1958- Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces Memoirs of the American Mathematical Society |
| title | Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces |
| title_auth | Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces |
| title_exact_search | Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces |
| title_full | Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces Lior Fishman, David E. Simmons, Mariusz Urbański |
| title_fullStr | Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces Lior Fishman, David E. Simmons, Mariusz Urbański |
| title_full_unstemmed | Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces Lior Fishman, David E. Simmons, Mariusz Urbański |
| title_short | Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces |
| title_sort | diophantine approximation and the geometry of limit sets in gromov hyperbolic metric spaces |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030569755&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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