de
en
Schliessen
Detailsuche
Bibliotheken
Projekt
Impressum
Datenschutz
Schliessen
Publizieren
Besondere Sammlungen
Digitalisierungsservice
Hilfe
Impressum
Datenschutz
zum Inhalt
Detailsuche
Schnellsuche:
OK
Ergebnisliste
Titel
Titel
Inhalt
Inhalt
Seite
Seite
Im Werk suchen
Invariant ruelle distributions for open hyperbolic systems : an analytical and numerical investigation / von Philipp Schütte ; betreut von Prof. Dr. Tobias Weich. Paderborn, 2024
Inhalt
Analytical Study of Open Hyperbolic Systems
Meromorphic Continuation of Weighted Zeta Functions
The Geometric Setup
Pollicott-Ruelle Resonances for Open Systems
Expanded Proof of Meromorphic Continuation
A Weighted Trace Formula
Proof of the Main Theorem
Remarks on Patterson-Sullivan Distributions
Weighted Zetas for Convex Obstacle Scattering
Geodesic Billiard Dynamics
Smooth Models
Meromorphic Continuation
Weighted Zetas for Wigner Distributions
Semiclassical and Faure-Tsujii Zeta Functions
Numerical Study of 3-Disc Scattering Systems
Numerical Study of Convex-Cocompact Hyperbolic Surfaces
Numerical Machinery
Hyperbolic Map Systems and Dynamical Determinants
Full Symmetry Reduction of Flow-Adapted Systems
Dynamical Determinants beyond Hyperbolic Map Systems
Local Maximality
Existence of Dense Orbits
Domain of Holomorphic Extension
Numerical Investigation of Invariant Ruelle Distributions
How to Visualize Invariant Ruelle Distributions
Invariant Ruelle Distributions on the Fundamental Domain
Resonance Sampling on Moduli Space
Introduction to Teichmüller and Moduli Space
Numerical Sampling of Moduli Space
Technical Implementation
The PyZeta Project
General Remarks on Technologies
Programming Language and Development Environment
Software Documentation and Version Control
Testing Framework
Measuring and Documenting Performance
Optimizing Code
Architecture and Internals of PyZeta
PyZeta Framework Elements
PyZeta Core Components
Additional Layers and Components
Conclusion and Outlook
The PyZEAL Project
Origins of the Project and Requirements
Mathematical Preliminaries
Root Finding Algorithms
Higher Moment Construction
Derivative-free Algorithms
Formal Orthogonal Polynomials
Architecture of PyZEAL
PyZEAL Internals
Conclusion and Outlook
Appendices
Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models
Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces
Bibliography
Index
Die detaillierte Suchanfrage erfordert aktiviertes Javascript.