Fractal geometry and dynamical systems in pure and applied mathematics II : fractals in applied mathematics / / David Carfi [and three others], editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2013; ©2013
• Descrizione fisica: 1 online resource (384 p.)
• Disciplina: 514/.742
• Soggetto topico: Fractals
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): CarfiDavid <1971->
• Note generali: "PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy."; "AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, Massachusetts."; "AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, Hawaii."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Preface""; ""Statistical Mechanics and Quantum Fields on Fractals""; ""1. Introduction""; ""2. Discrete scaling symmetry - Self similarity - Definitions""; ""3. Heat kernel and spectral functions - Generalities""; ""4. Laplacian on fractals - Heat kernel and spectral zeta function""; ""5. Thermodynamics on photons : The fractal blackbody [34]""; ""6. Conclusion and some open questions""; ""Acknowledgments""; ""References""; ""Spectral Algebra of the Chernov and Bogoslovsky Finsler Metric Tensors""; ""Preliminaries""; ""1. Spectral theory prerequisites"" ; ""2. Spectral results for low dimensions""""3. Conclusions""; ""References""; ""Local Multifractal Analysis""; ""1. Introduction""; ""2. Properties of the local Hausdorff dimension and the local multifractal spectrum""; ""3. A local multifractal formalism for a dyadic family""; ""4. Measures with varying local spectrum""; ""5. Local spectrum of stochastic processes""; ""6. Other regularity exponents characterized by dyadic families""; ""7. A functional analysis point of view""; ""Acknowledgement""; ""References""; ""Extreme Risk and Fractal Regularity in Finance""; ""1. Introduction"" ; ""2. Fractal Regularities in Financial Markets""""3. The Markov-Switching Multifractal (MSM)""; ""4. Pricing Multifractal Risk""; ""5. Conclusion""; ""References""; ""An Algorithm for Dynamical Games with Fractal-Like Trajectories""; ""1. Introduction""; ""2. Preliminaries and notations""; ""3. The method for ¹ games""; ""4. Two players parametric games""; ""5. The algorithm""; ""6. Examples""; ""7. Final Remarks""; ""8. Resume""; ""9. Conclusions""; ""References""; ""The Landscape of Anderson Localization in a Disordered Medium""; ""1. Introduction""; ""2. Preliminaries"" ; ""Non-Regularly Varying and Non-Periodic Oscillation of the On-Diagonal Heat Kernels on Self-Similar Fractals""""1. Introduction""; ""2. Framework and main results""; ""3. Proof of Theorems 2.17 and 2.18""; ""4. Post-critically finite self-similar fractals""; ""4.1. Harmonic structures and resulting self-similar Dirichlet spaces""; ""4.2. Cases with good symmetry and affine nested fractals""; ""4.3. Cases possibly without good symmetry""; ""5. SierpiÅ?ski carpets""; ""References""; ""Lattice Effects in the Scaling Limit of the Two-Dimensional Self-Avoiding Walk""; ""1. Introduction"" ; ""2. Lattice effects""
• Titolo autorizzato: Fractal geometry and dynamical systems in pure and applied mathematics II
• ISBN: 1-4704-1083-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480582803321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society) ; ; Volume 601.