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Softcover ISBN:  9780821891483 
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Softcover ISBN:  9780821891483 
Product Code:  CONM/601 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470410834 
Product Code:  CONM/601.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821891483 
eBook ISBN:  9781470410834 
Product Code:  CONM/601.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 601; 2013; 372 ppMSC: Primary 28; 37; 58; 60; 81; 91
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 various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on nonsmooth spaces, the theory of billiards, harmonic analysis and spectral geometry).
The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.
ReadershipGraduate students and researchers interested in applications of fractal geometry.

Table of Contents

Articles

Eric Akkermans — Statistical Mechanics and Quantum Fields on Fractals

Vladimir Balan — Spectral Algebra of the Chernov and Bogoslovsky Finsler Metric Tensors

Julien Barral, Arnaud Durand, Stéphane Jaffard and Stéphane Seuret — Local Multifractal Analysis

Laurent E. Calvet and Adlai J. Fisher — Extreme Risk and Fractal Regularity in Finance

David Carfì and Angela Ricciardello — An Algorithm for Dynamical Games with FractalLike Trajectories

Marcel Filoche and Svitlana Mayboroda — The Landscape of Anderson Localization in a Disordered Medium

Daniele Guido and Tommaso Isola — Zeta Functions for Infinite Graphs and Functional Equations

Michael Hinz and Alexander Teplyaev — Vector Analysis on Fractals and Applications

Naotaka Kajino — NonRegularly Varying and NonPeriodic Oscillation of the OnDiagonal Heat Kernels on SelfSimilar Fractals

Tom Kennedy and Gregory F. Lawler — Lattice Effects in the Scaling Limit of the TwoDimensional SelfAvoiding Walk

Robert Kesler and Benjamin Steinhurst — The Casimir Effect on Laakso Spaces

Nishu Lal and Michel L. Lapidus — The Decimation Method for Laplacians on Fractals: Spectra and Complex Dynamics

Michel L. Lapidus and Robert G. Niemeyer — The Current State of Fractal Billiards

Céline LévyLeduc and Murad S. Taqqu — LongRange Dependence and the Rank of Decompositions

Bing Li, NarnRueih Shieh and Yimin Xiao — Hitting Probabilities of the Random Covering Sets

Yūki Naito, Mervan Pašić, Satoshi Tanaka and Darko Žubrinić — Fractal Oscillations Near the Domain Boundary of Radially Symmetric Solutions of $p$Laplace Equations

John R. Quinn — Applications of the Contraction Mapping Principle

Daniele Schilirò — Economics and Psychology. Perfect Rationality versus Bounded Rationality


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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 various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on nonsmooth spaces, the theory of billiards, harmonic analysis and spectral geometry).
The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.
Graduate students and researchers interested in applications of fractal geometry.

Articles

Eric Akkermans — Statistical Mechanics and Quantum Fields on Fractals

Vladimir Balan — Spectral Algebra of the Chernov and Bogoslovsky Finsler Metric Tensors

Julien Barral, Arnaud Durand, Stéphane Jaffard and Stéphane Seuret — Local Multifractal Analysis

Laurent E. Calvet and Adlai J. Fisher — Extreme Risk and Fractal Regularity in Finance

David Carfì and Angela Ricciardello — An Algorithm for Dynamical Games with FractalLike Trajectories

Marcel Filoche and Svitlana Mayboroda — The Landscape of Anderson Localization in a Disordered Medium

Daniele Guido and Tommaso Isola — Zeta Functions for Infinite Graphs and Functional Equations

Michael Hinz and Alexander Teplyaev — Vector Analysis on Fractals and Applications

Naotaka Kajino — NonRegularly Varying and NonPeriodic Oscillation of the OnDiagonal Heat Kernels on SelfSimilar Fractals

Tom Kennedy and Gregory F. Lawler — Lattice Effects in the Scaling Limit of the TwoDimensional SelfAvoiding Walk

Robert Kesler and Benjamin Steinhurst — The Casimir Effect on Laakso Spaces

Nishu Lal and Michel L. Lapidus — The Decimation Method for Laplacians on Fractals: Spectra and Complex Dynamics

Michel L. Lapidus and Robert G. Niemeyer — The Current State of Fractal Billiards

Céline LévyLeduc and Murad S. Taqqu — LongRange Dependence and the Rank of Decompositions

Bing Li, NarnRueih Shieh and Yimin Xiao — Hitting Probabilities of the Random Covering Sets

Yūki Naito, Mervan Pašić, Satoshi Tanaka and Darko Žubrinić — Fractal Oscillations Near the Domain Boundary of Radially Symmetric Solutions of $p$Laplace Equations

John R. Quinn — Applications of the Contraction Mapping Principle

Daniele Schilirò — Economics and Psychology. Perfect Rationality versus Bounded Rationality