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

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2013; ©2013
• Descrizione fisica: 1 online resource (410 p.)
• Disciplina: 514/.742
• Soggetto topico: Fractals
• Classificazione: 28A1228A7828A8011M2611M4137A4537C4537F1058B2058C40
• 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 -- Separation Conditions for Iterated Function Systems with Overlaps -- 1 Introduction -- 2 Preliminaries -- 3 The finite type condition -- 4 More on the finite type condition -- 5 Generalized finite type condition -- 6 Weak separation condition -- References -- -point Configurations of Discrete Self-Similar Sets -- 1 Introduction -- 2 Lower bounds for -point configurations of compatible fractals -- 3 Determinant fractal zeta functions -- References -- Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator -- 1 Introduction -- 2 Generalized Fractal Strings and Their Complex Dimensions -- 3 The Spectral Operator and the Infinitesimal Shifts -- 4 Inverse and Direct Spectral Problems for Fractal Strings -- 5 Quasi-Invertibility and Almost Invertibility of the Spectral Operator -- 6 Spectral Reformulations of the Riemann Hypothesis and of Almost RH -- 7 Concluding Comments -- 8 Appendix A: Riemann's Explicit Formula -- 9 Appendix B: The Momentum Operator and Normality of -- References -- Analysis and Geometry of the Measurable Riemannian Structure on the SierpiÅski Gasket -- 1 Introduction -- 2 SierpiÅski gasket and its standard Dirichlet form -- 3 Measurable Riemannian structure on the SierpiÅski gasket -- 4 Geometry under the measurable Riemannian structure -- 5 Short time asymptotics of the heat kernels -- 6 Ahlfors regularity and singularity of Hausdorff measure -- 7 Weyl's Laplacian eigenvalue asymptotics cont.
• Titolo autorizzato: Fractal geometry and dynamical systems in pure and applied mathematics I
• ISBN: 1-4704-1082-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910827630003321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 600 . 0271-4132