03668nam 2200553 450 991079603630332120220902010410.01-4704-1082-6(CKB)3780000000000211(EBL)3113246(SSID)ssj0001339194(PQKBManifestationID)11762084(PQKBTitleCode)TC0001339194(PQKBWorkID)11349540(PQKB)11179611(MiAaPQ)EBC3113246(RPAM)17736024(PPN)197102441(EXLCZ)99378000000000021120140612h20132013 uy 0engur|n|---|||||txtccrFractal geometry and dynamical systems in pure and applied mathematics I fractals in pure mathematics /David Carfi [and three others], editorsProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (410 p.)Contemporary mathematics,1098-3627 ;6000271-4132"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."0-8218-9147-2 Includes bibliographical references.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.Contemporary mathematics (American Mathematical Society).6000271-4132FractalsCongressesFractals514/.74228A1228A7828A8011M2611M4137A4537C4537F1058B2058C40mscCarfi David1971-MiAaPQMiAaPQMiAaPQBOOK9910796036303321Fractal geometry and dynamical systems in pure and applied mathematics I3757682UNINA