Read Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120)

Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120)

Hillel Furstenberg

4.9/5 (12280 ratings)

Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120). To get started finding Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: 69

Format: PDF, EPUB & Kindle Edition

Publisher: American Mathematical Society

Release: 2014

ISBN: 1470410346

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120). To get started finding Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120)

Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120)

More Books

Ergodic Theory and Fractal Geometry (CBMS Regional Conference Series in Mathematics) by Hillel Furstenberg (2014-08-30)

Ergodic Theory and Fractal Geometry (CBMS Regional Conference Series in Mathematics) by Hillel Furstenberg (2014-08-30)

Ergodic Theory and Fractal Geometry (CBMS Regional Conference Series in Mathematics) by Hillel Furstenberg (2014) Paperback

Ergodic Theory and Fractal Geometry (CBMS Regional Conference Series in Mathematics) by Hillel Furstenberg (2014) Paperback

Dynamical Methods in Ramsey Theory

Dynamical Methods in Ramsey Theory

Ergodic Theory And Fractal Geometry

Ergodic Theory And Fractal Geometry