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Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I: Fractals in Pure Mathematics
About this Title
David Carfì, University of Messina, Messina, Italy, Michel L. Lapidus, University of California, Riverside, Riverside, CA, Erin P. J. Pearse, California Polytechnic State University, San Luis Obispo, CA and Machiel van Frankenhuijsen, Utah Valley University, Orem, UT, Editors
Publication: Contemporary Mathematics
Publication Year:
2013; Volume 600
ISBNs: 978-0-8218-9147-6 (print); 978-1-4704-1082-7 (online)
DOI: https://doi.org/10.1090/conm/600
ReadershipTable of Contents
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Front/Back Matter
Articles
- Qi-Rong Deng, Ka-Sing Lau and Sze-Man Ngai – Separation Conditions for Iterated Function Systems with Overlaps
- Driss Essouabri and Ben Lichtin – $k-$point Configurations of Discrete Self-Similar Sets
- Hafedh Herichi and Michel L. Lapidus – Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator
- Naotaka Kajino – Analysis and Geometry of the Measurable Riemannian Structure on the Sierpiński Gasket
- Sabrina Kombrink – A Survey on Minkowski Measurability of Self-Similar and Self-Conformal Fractals in $\mathbb R^d$
- Michel L. Lapidus, Lũ’ Hùng and Machiel van Frankenhuijsen – Minkowski Measurability and Exact Fractal Tube Formulas for $p$-Adic Self-Similar Strings
- Michel L. Lapidus, Erin P. J. Pearse and Steffen Winter – Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators
- Rolando de Santiago, Michel L. Lapidus, Scott A. Roby and John A. Rock – Multifractal Analysis via Scaling Zeta Functions and Recursive Structure of Lattice Strings
- Michel L. Lapidus, John A. Rock and Darko Žubrinić – Box-Counting Fractal Strings, Zeta Functions, and Equivalent Forms of Minkowski Dimension
- Eugen Mihailescu and Mariusz Urbański – Hausdorff Dimension of the Limit Set of Countable Conformal Iterated Function Systems with Overlaps
- Lars Olsen – Multifractal Tubes: Multifractal Zeta-Functions, Multifractal Steiner Formulas and Explicit Formulas
- Calum Spicer, Robert S. Strichartz and Emad Totari – Laplacians on Julia Sets III: Cubic Julia Sets and Formal Matings
- Hui Rao, Huo-Jun Ruan and Yang Wang – Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties
- Machiel van Frankenhuijsen – Riemann Zeros in Arithmetic Progression
- Martina Zähle – Curvature Measures of Fractal Sets