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Record Nr. |
UNINA9910480582803321 |
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Titolo |
Fractal geometry and dynamical systems in pure and applied mathematics II : fractals in applied mathematics / / David Carfi [and three others], editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (384 p.) |
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Collana |
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Contemporary Mathematics, , 1098-3627 ; ; Volume 601 |
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Disciplina |
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Soggetti |
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Fractals |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"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." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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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"" |
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