UID:
almahu_9949926882502882
Format:
1 online resource (152 pages)
Edition:
1st ed.
ISBN:
9781470466329
Series Statement:
Memoirs of the American Mathematical Society Series ; v.271
Note:
Cover -- Title page -- Chapter 1. Introduction -- 1.1. Short General Introduction -- 1.2. Asymptotic Counting Results -- 1.3. Examples -- 1.4. Statistical Results -- 1.5. Historical Overview of Applications and Examples -- Chapter 2. Attracting Conformal Graph Directed Markov Systems -- 2.1. Thermodynamic Formalism of Subshifts of Finite Type with Countable Alphabet -- Preliminaries -- 2.2. Attracting Conformal Countable Alphabet Graph Directed Markov Systems (GDMSs) and Countable Alphabet Attracting Iterated Function Systems (IFSs) -- Preliminaries -- 2.3. Complex Ruelle-Perron-Frobenius Operators -- Spectrum and D-Genericity -- 2.4. Asymptotic Results for Multipliers -- Statements and First Preparations -- 2.5. Complex Localized Poincaré Series ᵨ -- 2.6. Asymptotic Results for Multipliers -- Concluding of Proofs -- 2.7. Asymptotic Results for Diameters -- Chapter 3. Parabolic Conformal Graph Directed Markov Systems -- 3.1. Parabolic GDMS -- Preliminaries -- 3.2. Poincaré's Series for \cS*, the Associated Countable Alphabet Attracting GDMS -- 3.3. Asymptotic Results for Multipliers -- 3.4. Asymptotic Results for Diameters -- Chapter 4. Central Limit Theorems -- 4.1. Central Limit Theorems for Multipliers and Diameters: Attracting GDMSs with Invariant Measure _{ _{\cS}} -- 4.2. Central Limit Theorems for Multipliers and Diameters: Parabolic GDMSs with Finite Invariant Measure _{ _{\cS}} -- 4.3. Central Limit Theorems: Asymptotic Counting Functions for Attracting GDMSs -- 4.4. Central Limit Theorems: Asymptotic Counting Functions for Parabolic GDMSs -- Chapter 5. Examples and Applications, I -- 5.1. Attracting/Expanding Conformal Dynamical Systems -- 5.2. Conformal Parabolic Dynamical Systems -- 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 -- Back Cover.
Additional Edition:
Print version: Pollicott, Mark Asymptotic Counting in Conformal Dynamical Systems Providence : American Mathematical Society,c2021 ISBN 9781470465773
Language:
English
Keywords:
Electronic books.
Bookmarklink
