Asymptotic counting in conformal dynamical systems:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence
American Mathematical Society
[2021]
|
| Series: | Memoirs of the American Mathematical Society
volume 271, number 1327 (fourth of 7 numbers) |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | v, 139 Seiten |
| ISBN: | 9781470465773 |
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MARC
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| 245 | 1 | 0 | |a Asymptotic counting in conformal dynamical systems |c Mark Pollicott ; Mariusz Urbański |
| 264 | 1 | |a Providence |b American Mathematical Society |c [2021] | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 271, number 1327 (fourth of 7 numbers) | |
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Record in the Search Index
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| adam_text | Contents
Chapter 1 Introduction
il
Short General Introduction
Asymptotic Counting Results
Examples
Statistical Results
Historical Overview of Applications and Examples
Chapter 2 Attracting Conformal Graph Directed Markov Systems
Thermodynamic Formalism of Subshifts of Finite Type with Countable
Alphabet; Preliminaries
Attracting Conformal Countable Alphabet Graph Directed Markov
Systems (GDMSs) and Countable Alphabet Attracting Iterated
Function Systems (IFSs); Preliminaries
Complex Ruelle-Perron-Frobenius Operators; Spectrum and
D-Genericity
Asymptotic Results for Multipliers; Statements and First Preparations
Complex Localized Poincaré Series 7p
Asymptotic Results for Multipliers; Concluding of Proofs
Asymptotic Results for Diameters
Chapter 3 Parabolic Conformal Graph Directed Markov Systems
Parabolic GDMS; Preliminaries
Poincaré’s Series for S*, the Associated Countable Alphabet
Attracting GDMS
Asymptotic Results for Multipliers
Asymptotic Results for Diameters
Chapter 4 Central Limit Theorems
Central Limit Theorems for Multipliers and Diameters: Attracting
GDMSs with Invariant Measure ws,
Central Limit Theorems for Multipliers and Diameters: Parabolic
GDMSs with Finite Invariant Measure pus;
Central Limit Theorems: Asymptotic Counting Functions for
Attracting GDMSs
Central Limit Theorems: Asymptotic Counting Functions for
Parabolic GDMSs
Chapter 5 Examples and Applications, I
Attracting/Expanding Conformal Dynamical Systems
Conformal Parabolic Dynamical Systems
iii
iv CONTENTS
Chapter 6 Examples and Applications, II: Kleinian Groups
6 1 Finitely Generated Classical Schottky Groups with no Tangencies
6 2 Generalized (allowing tangencies) Classical Schottky Groups
6 3 Fuchsian Groups
Bibliography
|
| adam_txt |
Contents
Chapter 1 Introduction
il
Short General Introduction
Asymptotic Counting Results
Examples
Statistical Results
Historical Overview of Applications and Examples
Chapter 2 Attracting Conformal Graph Directed Markov Systems
Thermodynamic Formalism of Subshifts of Finite Type with Countable
Alphabet; Preliminaries
Attracting Conformal Countable Alphabet Graph Directed Markov
Systems (GDMSs) and Countable Alphabet Attracting Iterated
Function Systems (IFSs); Preliminaries
Complex Ruelle-Perron-Frobenius Operators; Spectrum and
D-Genericity
Asymptotic Results for Multipliers; Statements and First Preparations
Complex Localized Poincaré Series 7p
Asymptotic Results for Multipliers; Concluding of Proofs
Asymptotic Results for Diameters
Chapter 3 Parabolic Conformal Graph Directed Markov Systems
Parabolic GDMS; Preliminaries
Poincaré’s Series for S*, the Associated Countable Alphabet
Attracting GDMS
Asymptotic Results for Multipliers
Asymptotic Results for Diameters
Chapter 4 Central Limit Theorems
Central Limit Theorems for Multipliers and Diameters: Attracting
GDMSs with Invariant Measure ws,
Central Limit Theorems for Multipliers and Diameters: Parabolic
GDMSs with Finite Invariant Measure pus;
Central Limit Theorems: Asymptotic Counting Functions for
Attracting GDMSs
Central Limit Theorems: Asymptotic Counting Functions for
Parabolic GDMSs
Chapter 5 Examples and Applications, I
Attracting/Expanding Conformal Dynamical Systems
Conformal Parabolic Dynamical Systems
iii
iv CONTENTS
Chapter 6 Examples and Applications, II: Kleinian Groups
6 1 Finitely Generated Classical Schottky Groups with no Tangencies
6 2 Generalized (allowing tangencies) Classical Schottky Groups
6 3 Fuchsian Groups
Bibliography |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Pollicott, Mark 1959- Urbański, Mariusz 1958- |
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| author_sort | Pollicott, Mark 1959- |
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| index_date | 2024-07-03T18:34:21Z |
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| institution | BVB |
| isbn | 9781470465773 |
| language | English |
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| physical | v, 139 Seiten |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Pollicott, Mark 1959- (DE-588)1073144151 aut Asymptotic counting in conformal dynamical systems Mark Pollicott ; Mariusz Urbański Providence American Mathematical Society [2021] v, 139 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 271, number 1327 (fourth of 7 numbers) Urbański, Mariusz 1958- (DE-588)120432684 aut Memoirs of the American Mathematical Society volume 271, number 1327 (fourth of 7 numbers) (DE-604)BV008000141 1327 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032969980&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pollicott, Mark 1959- Urbański, Mariusz 1958- Asymptotic counting in conformal dynamical systems Memoirs of the American Mathematical Society |
| title | Asymptotic counting in conformal dynamical systems |
| title_auth | Asymptotic counting in conformal dynamical systems |
| title_exact_search | Asymptotic counting in conformal dynamical systems |
| title_exact_search_txtP | Asymptotic counting in conformal dynamical systems |
| title_full | Asymptotic counting in conformal dynamical systems Mark Pollicott ; Mariusz Urbański |
| title_fullStr | Asymptotic counting in conformal dynamical systems Mark Pollicott ; Mariusz Urbański |
| title_full_unstemmed | Asymptotic counting in conformal dynamical systems Mark Pollicott ; Mariusz Urbański |
| title_short | Asymptotic counting in conformal dynamical systems |
| title_sort | asymptotic counting in conformal dynamical systems |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032969980&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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