Fractal geometry and dynamical systems in pure and applied mathematics
 Responsibility
 David Carfi, Michel L. Lapidus, Erin P.J. Pearse, Machiel van Frankenhuijsen, editors.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2013]
 Physical description
 2 volumes : illustrations ; 26 cm.
 Series
 Contemporary mathematics (American Mathematical Society) v. 600601.
Access
Available online
Science Library (Li and Ma)
Stacks
Library has: 12
Call number  Status 

QC20.7 .F73 F715 2011 V.1  Unknown 
QC20.7 .F73 F715 2011 V.2  Unknown 
More options
Creators/Contributors
 Meeting
 PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics (2011 : Messina, Italy)
 Contributor
 Carfi, David, 1971 editor of compilation.
 Lapidus, Michel L. (Michel Laurent), 1956 editor of compilation.
 Pearse, Erin P. J., 1975 editor of compilation.
 Van Frankenhuysen, Machiel, 1967 editor of compilation.
 Mandelbrot, Benoit B. honouree.
 AMS Special Session on Fractal Geometry in Pure and Applied Mathematics in Memory of Benoit Mandelbrot (2012 : Boston, Mass.)
 AMS Special Session on Geometry and Analysis on Fractal Spaces (2012 : Honolulu, Hawaii)
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 1. Fractals in pure mathematics
 2. Fractals in applied mathematics.
 Publisher's Summary
 This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 812, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 47, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 34, 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.
(source: Nielsen Book Data)9780821891476 20160612  This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 812, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 47, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 34, 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.
(source: Nielsen Book Data)9780821891483 20160612
Subjects
 Subject
 Fractals > Congresses.
 Measure and integration  Classical measure theory  Contents, measures, outer measures, capacities.
 Measure and integration  Classical measure theory  Hausdorff and packing measures.
 Measure and integration  Classical measure theory  Fractals.
 Number theory  Zeta and $L$functions: analytic theory  Nonreal zeros of $\zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses.
 Number theory  Zeta and $L$functions: analytic theory  Other Dirichlet series and zeta functions.
 Dynamical systems and ergodic theory  Ergodic theory  Relations with number theory and harmonic analysis.
 Dynamical systems and ergodic theory  Smooth dynamical systems: general theory  Dimension theory of dynamical systems.
 Dynamical systems and ergodic theory  Complex dynamical systems  Polynomials; rational maps; entire and meromorphic functions.
 Global analysis, analysis on manifolds  Infinitedimensional manifolds  Riemannian, Finsler and other geometric structures.
 Global analysis, analysis on manifolds  Calculus on manifolds; nonlinear operators  Spectral theory; eigenvalue problems.
Bibliographic information
 Publication date
 2013
 Series
 Contemporary mathematics ; 600601
 Note
 "PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, November, 2011, Messina, Sicily, Italy."
 "AMS Special Session on Fractal Geometry in Pure and Applied Mathematics in memory of Benoit Mandelbrot, January, 2012, Boston, Massachusetts."
 "AMS Special Session on Geometry and Analysis on Fractal Spaces, March, 2012, Honolulu, Hawaii."
 ISBN
 9780821891476 (alk. paper : v. 1)
 0821891472 (alk. paper : v. 1)
 9780821891483 (alk. paper : v. 2)
 0821891480 (alk. paper : v. 2)