Ergodic Theory and Fractal Geometry is popular PDF and ePub book, written by Hillel Furstenberg in 2014-08-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Ergodic Theory and Fractal Geometry can be Read Online from any device for your convenience.
Ergodic Theory and Fractal Geometry Book PDF Summary
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. A co-publication of the AMS and CBMS.
Detail Book of Ergodic Theory and Fractal Geometry PDF
- Author : Hillel Furstenberg
- Release : 08 August 2014
- Publisher : American Mathematical Society
- ISBN : 9781470410346
- Genre : Mathematics
- Total Page : 82 pages
- Language : English
- PDF File Size : 15,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Ergodic Theory and Fractal Geometry by Hillel Furstenberg, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.