Fractal Geometry & Applications: Analysis, Number Theory & Dynamical Systems

Nerdy J’s Rare and Antique Books
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Item specifics

Condition
Like New: A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is ...
ISBN
9780821836378
Category

About this product

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
0821836374
ISBN-13
9780821836378
eBay Product ID (ePID)
31007252

Product Key Features

Number of Pages
517 Pages
Language
English
Publication Name
Fractal Geometry and Applications : a Jubilee of Benoit Mandelbrot
Publication Year
2004
Subject
Geometry / General, Transformations, Algebra / General
Type
Textbook
Subject Area
Mathematics
Author
American Mathem American Mathem
Series
Proceedings of Symposia in Applied Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.6 in
Item Weight
41 Oz
Item Length
9.8 in
Item Width
5.9 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2004-057084
Dewey Edition
22
Series Volume Number
72
Illustrated
Yes
Volume Number
Pt. 1
Dewey Decimal
510
Table Of Content
M. L. Lapidus, Fractal geometry and applications-An introduction to this volume; J. Barral and S. Jaffard, Cherche Livre... et plus si affinite/Looking for a book...and more, if affinity; M. Berry, Benefiting from fractals; M.-O. Coppens, Benoit Mandelbrot, wizard of science; R. L. Devaney, Mandelbrot's vision for mathematics; M. M. Dodson, Benoit Mandelbrot and York; B. Duplantier, Nul n'entre ici s'il n'est geometre/Let no one ignorant of geometry enter here; M. L. Frame, A decade of working with a maverick; M. Frantz, Breakfast with Mandelbrot; J.-P. Kahane, Old memories; D. B. Mumford, My encounters with Benoit Mandelbrot; L. Nottale, Fractal geometry and the foundations of physics; B. Sapoval, Is randomness partially tamed by fractals?; J. E. Taylor, On knowing Benoit Mandelbrot; Analysis: M. M. France, Reflections, ripples and fractals; M. Frantz, Lacunarity, Minkowski content, and self-similar sets in $\mathbb{R}$; F. Morgan, Fractals and geometric measure theory: Friends and foes; H. Furstenberg and Y. Katznelson, Eigenmeasures, equidistribution, and the multiplicity of $\beta$-expansions; A. Kameyama, Distances on topological self-similar sets; A. Teplyaev, Energy and laplacian on the Sierpinski gasket; C. Sabot, Electrical networks, symplectic reductions, and application to the renormalization map of self-similar lattices; B. Solomyak, Notes on Bernoulli convolutions; Number theory: T. Hilberdink, Some connections between Bernoulli convolutions and analytic number theory; S. Jaffard, On Davenport expansions; M. M. Dodson and S. Kristensen, Hausdorff dimension and diophantine approximation; M. L. Lapidus and M. van Frankenhuijsen, Fractality, self-similarity and complex dimensions; Dynamical systems: B. Kahng, The invariant fractals of symplectic piecewise affine elliptic dynamics; S. Crovisier, Almost sure rotation number of circle endomorphisms; V. Baladi, Kneading determinants and transfer operators in higher dimensions; V. Afraimovich, L. Ramirez, and E. Ugalde, The spectrum of dimensions for Poincare recurrences for nonuniformly hyperbolic geometric constructions; M. Comerford, A survey of results in random iteration; D. Schleicher, On fibers and local connectivity of Mandelbrot and multibrot sets.
Synopsis
This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications., Presents a collection of articles about fractal geometry. This work covers analysis, number theory, dynamical systems, multifractals, probability and statistical mechanics and applications. It is suitable for graduate students and researchers interested in fractal geometry and its applications.
LC Classification Number
QA325.F73 2004

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Nerdy J’s Rare and Antique Books

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Nerdy J is a nuclear nerd living in Los Alamos, New Mexico. They enjoy books in a wide variety of topics, especially vintage science/engineering textbooks, classic literature and nuclear weapons ...
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