04484nam 2200589 450 991048058280332120180731043701.01-4704-1083-4(CKB)3780000000000212(EBL)3113271(SSID)ssj0001339195(PQKBManifestationID)11770509(PQKBTitleCode)TC0001339195(PQKBWorkID)11349989(PQKB)10627054(MiAaPQ)EBC3113271(PPN)19710245X(EXLCZ)99378000000000021220140613h20132013 uy 0engur|n|---|||||txtccrFractal geometry and dynamical systems in pure and applied mathematics II fractals in applied mathematics /David Carfi [and three others], editorsProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (384 p.)Contemporary Mathematics,1098-3627 ;Volume 601"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."0-8218-9148-0 Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;Volume 601.FractalsCongressesElectronic books.Fractals514/.742Carfi David1971-MiAaPQMiAaPQMiAaPQBOOK9910480582803321Fractal geometry and dynamical systems in pure and applied mathematics II1911879UNINA