Fractal geometry and dynamical systems in pure and applied mathematics
By: David Carfi, Michel L. Lapidus, Erin P.J. Pearse, Machiel van Frankenhuijsen, editors
Contributors: Carfi, David, 1971-; Lapidus, Michel L. (Michel Laurent), 1956-; Pearse, Erin P. J., 1975-; Van Frankenhuysen, Machiel, 1967-; Mandelbrot, Benoit B.
Series: Contemporary mathematics -- volumes 600, 601
Publisher: American Mathematical Society
Published: 2013
Place of publication: Providence, Rhode Island
Language: eng
ISBN-13: 9780821891476; 9780821891483
Copyright date: 2013
Subjects: 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 -- Infinite-dimensional manifolds -- Riemannian, Finsler and other geometric structures; Global analysis, analysis on manifolds -- Calculus on manifolds; nonlinear operators -- Spectral theory; eigenvalue problems
Notes: "PISRS 2011, First International Conference : Analysis, Fractal Geometry, Dynamical Systems and Economics, November 8-12, 2011, Messina, Sicily, Italy."

"AMS Special Session, in memory of Benoit Mandelbrot : Fractal Geometry in Pure and Applied Mathematics, January 4-7, 2012, Boston, MA."

"AMS Special Session : Geometry and Analysis on Fractal Spaces, March 3-4, 2012, Honolulu, HI."

Includes bibliographical references.
Table of contents: title: 1. Fractals in pure mathematics; title: 2. Fractals in applied mathematics