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Record Nr. |
UNINA9910827630003321 |
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Titolo |
Fractal geometry and dynamical systems in pure and applied mathematics I : fractals in pure mathematics / / David Carfi [and three others], editors |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2013 |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (410 p.) |
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Collana |
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Contemporary mathematics, , 1098-3627 ; ; 600 , 0271-4132 |
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Classificazione |
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28A1228A7828A8011M2611M4137A4537C4537F1058B2058C40 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"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." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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-- 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. |
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