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[null,"1.","Record Nr.",null,"UNINA9910480582803321"]
[null,null,"Titolo",null,"Fractal geometry and dynamical systems in pure and applied mathematics II : fractals in applied mathematics / / David Carfi [and three others], editors"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2013"]
[{"$nulls":4},"©2013"]
[null,null,"ISBN",null,"1-4704-1083-4"]
[null,null,"Descrizione fisica",null,"1 online resource (384 p.)"]
[null,null,"Collana",null,"Contemporary Mathematics, , 1098-3627 ; ; Volume 601"]
[null,null,"Disciplina",null,"514/.742"]
[null,null,"Soggetti",null,"Fractals"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy.\""]
[{"$nulls":4},"\"AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, Massachusetts.\""]
[{"$nulls":4},"\"AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, Hawaii.\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"2. Spectral results for low dimensions\"\"\"\"3. Conclusions\"\"; \"\"References\"\"; \"\"Local Multifractal Analysis\"\"; \"\"1. Introduction\"\"; \"\"2. Properties of the local Hausdorff dimension and the local multifractal spectrum\"\"; \"\"3. A local multifractal formalism for a dyadic family\"\"; \"\"4. Measures with varying local spectrum\"\"; \"\"5. Local spectrum of stochastic processes\"\"; \"\"6. Other regularity exponents characterized by dyadic families\"\"; \"\"7. A functional analysis point of view\"\"; \"\"Acknowledgement\"\"; \"\"References\"\"; \"\"Extreme Risk and Fractal "]
[{"$nulls":4},"Regularity in Finance\"\"; \"\"1. Introduction\"\""]
[{"$nulls":4},"\"\"2. Fractal Regularities in Financial Markets\"\"\"\"3. The Markov-Switching Multifractal (MSM)\"\"; \"\"4. Pricing Multifractal Risk\"\"; \"\"5. Conclusion\"\"; \"\"References\"\"; \"\"An Algorithm for Dynamical Games with Fractal-Like Trajectories\"\"; \"\"1. Introduction\"\"; \"\"2. Preliminaries and notations\"\"; \"\"3. The method for   Â¹ games\"\"; \"\"4. Two players parametric games\"\"; \"\"5. The algorithm\"\"; \"\"6. Examples\"\"; \"\"7. Final Remarks\"\"; \"\"8. Resume\"\"; \"\"9. Conclusions\"\"; \"\"References\"\"; \"\"The Landscape of Anderson Localization in a Disordered Medium\"\"; \"\"1. Introduction\"\"; \"\"2. Preliminaries\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"2. Lattice effects\"\""]