Ergodic Theory and Fractal Geometry

Published by Universities Press, 2017

  • Softcover
  • New
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Seller: Vedams eBooks (P) Ltd, New Delhi, IndiaVedams eBooks (P) Ltd

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Softcover

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Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that straighten out under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated magnification, which we refer to informally as zooming in . This zooming-in process has its parallels in dynamics, and the varying scenery corresponds to the evolution of dynamical variables. The present monograph focuses on applications of one branch of dynamics ergodic theory to the geometry of fractals. Much attention is given to the all-important notion of fractal dimension, which is shown to be intimately related to the study of ergodic averages. It has been long known that dynamical systems serve as a rich source of fractal examples. The primary goal in this monograph is to demonstrate how the minute structure of fractals is unfolded when seen in the light of related dynamics. (jacket).…

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Bibliographic details

Title
Ergodic Theory and Fractal Geometry
Author
Hillel Furstenberg
Publisher
Universities Press
Publication year
2017
Condition
New
Binding
Soft cover

Vedams eBooks (P) Ltd

New Delhi, India

4-star seller

AbeBooks seller since January 30, 2009

Shipping rates from India to U.S.A.

Item20 to 24 business days4 to 7 business days
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