LEADER 04484nam 2200589 450 001 9910480582803321 005 20180731043701.0 010 $a1-4704-1083-4 035 $a(CKB)3780000000000212 035 $a(EBL)3113271 035 $a(SSID)ssj0001339195 035 $a(PQKBManifestationID)11770509 035 $a(PQKBTitleCode)TC0001339195 035 $a(PQKBWorkID)11349989 035 $a(PQKB)10627054 035 $a(MiAaPQ)EBC3113271 035 $a(PPN)19710245X 035 $a(EXLCZ)993780000000000212 100 $a20140613h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractal geometry and dynamical systems in pure and applied mathematics II $efractals in applied mathematics /$fDavid Carfi [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$d©2013 215 $a1 online resource (384 p.) 225 1 $aContemporary Mathematics,$x1098-3627 ;$vVolume 601 300 $a"PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy." 300 $a"AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, Massachusetts." 300 $a"AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, Hawaii." 311 $a0-8218-9148-0 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""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 A?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"" 327 $a""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. SierpiA??ski carpets""; ""References""; ""Lattice Effects in the Scaling Limit of the Two-Dimensional Self-Avoiding Walk""; ""1. Introduction"" 327 $a""2. Lattice effects"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vVolume 601. 606 $aFractals$vCongresses 608 $aElectronic books. 615 0$aFractals 676 $a514/.742 702 $aCarfi$b David$f1971- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480582803321 996 $aFractal geometry and dynamical systems in pure and applied mathematics II$91911879 997 $aUNINA