Ergodic Theory and Fractal Geometry
Language: English
Published by American Mathematical Society Aug 2014, 2014
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 50.07
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Neuware - 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. This monograph focuses on applications of one branch of dynamics - ergodic theory - to the geometry of fractals.
Seller Inventory # 9781470410346
- Title
- Ergodic Theory and Fractal Geometry
- Author
- Hillel Furstenberg
- Publisher
- American Mathematical Society Aug 2014
- Publication year
- 2014
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 1470410346
- ISBN 13
- 9781470410346
- Item weight
- 158 grams
- Dimensions
- 254x178x0 mm
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.
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