Autore	Pollicott Mark
Edizione	[1st ed.]
Pubbl/distr/stampa	Providence : , : American Mathematical Society, , 2021
Descrizione fisica	1 online resource (152 pages)
Disciplina	515/.39
Altri autori (Persone)	UrbańskiMariusz
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Conformal geometry Dynamical systems and ergodic theory -- Complex dynamical systems -- Conformal densities and Hausdorff dimension Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Thermodynamic formalism, variational principles, equilibrium states Convex and discrete geometry -- Discrete geometry -- Circle packings and discrete conformal geometry Probability theory and stochastic processes -- Limit theorems -- Central limit and other weak theorems
ISBN	9781470466329 1470466325
Classificazione	37F3537D3552C2660F05
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	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.
Record Nr.	UNINA-9910953752003321

Autore	Chousionis Vasilionis <1980->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [2020]
Descrizione fisica	1 online resource (170 pages)
Disciplina	621.4021
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Thermodynamics - Mathematical models Markov processes Conformal mapping Nilpotent Lie groups Hausdorff measures
Soggetto genere / forma	Electronic books.
ISBN	1-4704-6245-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNINA-9910480439503321

Autore	Fishman Lior <1964->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , 2018
Descrizione fisica	1 online resource (150 pages)
Disciplina	512.73
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Diophantine analysis Geometry, Hyperbolic
Soggetto genere / forma	Electronic books.
ISBN	1-4704-4746-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNINA-9910480216703321

Autore	Mayer Volker <1964->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica	1 online resource (107 p.)
Disciplina	515.982
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Functions, Meromorphic Functions of complex variables Fractals
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0568-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Balanced functions ""; ""2.1. Growth conditions""; ""2.2. The precise form of 2""; ""2.3. Classical families""; ""2.4. Functions with polynomial Schwarzian derivative""; ""2.5. Functions with rational Schwarzian derivative""; ""2.6. Uniform balanced growth""; ""Chapter 3. Transfer operator and Nevanlinna Theory""; ""3.1. Choice of a Riemannian metric and transfer operator""; ""3.2. Nevanlinna Theory and Borel Sums""; ""Chapter 4. Preliminaries, Hyperbolicity and Distortion Properties"" ""6.2. Ergodic properties of Gibbs states""""6.3. Decay of correlations and Central Limit Theorem""; ""6.4. Cohomologies and 2=0""; ""6.5. Variational principle""; ""Chapter 7. Regularity of Perron-Frobenius Operators and Topological Pressure""; ""7.1. Analyticity of Perron-Frobenius operators""; ""7.2. Analyticity of pressure""; ""7.3. Derivatives of the pressure function""; ""Chapter 8. Multifractal analysis""; ""8.1. Hausdorff dimension of Gibbs states""; ""8.2. The temperature function""; ""8.3. Multifractal analysis"" ""Chapter 9. Multifractal Analysis of Analytic Families of Dynamically Regular Functions""""9.1. Extensions of harmonic functions""; ""9.2. Holomorphic families and quasi-conformal conjugacies""; ""9.3. Real analyticity of the multifractal function""; ""Bibliography""; ""Index""
Record Nr.	UNINA-9910480869803321