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Softcover ISBN:  9780821891476 
Product Code:  CONM/600 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470410827 
Product Code:  CONM/600.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821891476 
eBook ISBN:  9781470410827 
Product Code:  CONM/600.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

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 nonsmooth 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.

Table of Contents

Articles

QiRong Deng, KaSing Lau and SzeMan Ngai — Separation Conditions for Iterated Function Systems with Overlaps

Driss Essouabri and Ben Lichtin — $k$point Configurations of Discrete SelfSimilar 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 SelfSimilar and SelfConformal Fractals in $\mathbb R^d$

Michel L. Lapidus, Lũ’ Hùng and Machiel van Frankenhuijsen — Minkowski Measurability and Exact Fractal Tube Formulas for $p$Adic SelfSimilar Strings

Michel L. Lapidus, Erin P. J. Pearse and Steffen Winter — Minkowski Measurability Results for SelfSimilar 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 — BoxCounting 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 ZetaFunctions, 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, HuoJun Ruan and Yang Wang — Lipschitz Equivalence of SelfSimilar Sets: Algebraic and Geometric Properties

Machiel van Frankenhuijsen — Riemann Zeros in Arithmetic Progression

Martina Zähle — Curvature Measures of Fractal Sets


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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 nonsmooth 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

QiRong Deng, KaSing Lau and SzeMan Ngai — Separation Conditions for Iterated Function Systems with Overlaps

Driss Essouabri and Ben Lichtin — $k$point Configurations of Discrete SelfSimilar 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 SelfSimilar and SelfConformal Fractals in $\mathbb R^d$

Michel L. Lapidus, Lũ’ Hùng and Machiel van Frankenhuijsen — Minkowski Measurability and Exact Fractal Tube Formulas for $p$Adic SelfSimilar Strings

Michel L. Lapidus, Erin P. J. Pearse and Steffen Winter — Minkowski Measurability Results for SelfSimilar 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 — BoxCounting 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 ZetaFunctions, 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, HuoJun Ruan and Yang Wang — Lipschitz Equivalence of SelfSimilar Sets: Algebraic and Geometric Properties

Machiel van Frankenhuijsen — Riemann Zeros in Arithmetic Progression

Martina Zähle — Curvature Measures of Fractal Sets