LEADER 03668nam 2200553 450 001 9910827630003321 005 20220902010410.0 010 $a1-4704-1082-6 035 $a(CKB)3780000000000211 035 $a(EBL)3113246 035 $a(SSID)ssj0001339194 035 $a(PQKBManifestationID)11762084 035 $a(PQKBTitleCode)TC0001339194 035 $a(PQKBWorkID)11349540 035 $a(PQKB)11179611 035 $a(MiAaPQ)EBC3113246 035 $a(RPAM)17736024 035 $a(PPN)197102441 035 $a(EXLCZ)993780000000000211 100 $a20140612h20132013 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 I $efractals in pure mathematics /$fDavid Carfi [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$dİ2013 215 $a1 online resource (410 p.) 225 1 $aContemporary mathematics,$x1098-3627 ;$v600$x0271-4132 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 $a0-8218-9147-2 320 $aIncludes bibliographical references. 327 $aPreface -- Separation Conditions for Iterated Function Systems with Overlaps -- 1 Introduction -- 2 Preliminaries -- 3 The finite type condition -- 4 More on the finite type condition -- 5 Generalized finite type condition -- 6 Weak separation condition -- References -- -point Configurations of Discrete Self-Similar Sets -- 1 Introduction -- 2 Lower bounds for -point configurations of compatible fractals -- 3 Determinant fractal zeta functions -- References -- Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator -- 1 Introduction -- 2 Generalized Fractal Strings and Their Complex Dimensions -- 3 The Spectral Operator and the Infinitesimal Shifts -- 4 Inverse and Direct Spectral Problems for Fractal Strings -- 5 Quasi-Invertibility and Almost Invertibility of the Spectral Operator -- 6 Spectral Reformulations of the Riemann Hypothesis and of Almost RH -- 7 Concluding Comments -- 8 Appendix A: Riemann's Explicit Formula -- 9 Appendix B: The Momentum Operator and Normality of -- References -- Analysis and Geometry of the Measurable Riemannian Structure on the SierpiA?ski Gasket -- 1 Introduction -- 2 SierpiA?ski gasket and its standard Dirichlet form -- 3 Measurable Riemannian structure on the SierpiA?ski gasket -- 4 Geometry under the measurable Riemannian structure -- 5 Short time asymptotics of the heat kernels -- 6 Ahlfors regularity and singularity of Hausdorff measure -- 7 Weyl's Laplacian eigenvalue asymptotics cont. 410 0$aContemporary mathematics (American Mathematical Society).$v600$x0271-4132 606 $aFractals$vCongresses 615 0$aFractals 676 $a514/.742 686 $a28A12$a28A78$a28A80$a11M26$a11M41$a37A45$a37C45$a37F10$a58B20$a58C40$2msc 702 $aCarfi$b David$f1971- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827630003321 996 $aFractal geometry and dynamical systems in pure and applied mathematics I$93925900 997 $aUNINA