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| Softcover ISBN: | 978-0-8218-9147-6 |
| Product Code: | CONM/600 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-1082-7 |
| Product Code: | CONM/600.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-9147-6 |
| eBook ISBN: | 978-1-4704-1082-7 |
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Book DetailsContemporary MathematicsVolume: 600; 2013; 399 ppMSC: Primary 28; 11; 37; 58
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8–12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4–7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3–4, 2012, in Honolulu, HI.
Articles in this volume cover fractal geometry (and some aspects of dynamical systems) in pure mathematics. Also included are articles discussing a variety of connections of fractal geometry with other fields of mathematics, including probability theory, number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis and spectral geometry.
The companion volume (Contemporary Mathematics, Volume 601) focuses on applications of fractal geometry and dynamical systems to other sciences, including physics, engineering, computer science, economics, and finance.
ReadershipGraduate students and researchers interested in fractal geometry and dynamical systems.
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Table of Contents
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Articles
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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
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Martina Zähle — Curvature Measures of Fractal Sets
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8–12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4–7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3–4, 2012, in Honolulu, HI.
Articles in this volume cover fractal geometry (and some aspects of dynamical systems) in pure mathematics. Also included are articles discussing a variety of connections of fractal geometry with other fields of mathematics, including probability theory, number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis and spectral geometry.
The companion volume (Contemporary Mathematics, Volume 601) focuses on applications of fractal geometry and dynamical systems to other sciences, including physics, engineering, computer science, economics, and finance.
Graduate students and researchers interested in fractal geometry and dynamical systems.
-
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
