How Long to Read Ergodic Theory and Fractal Geometry

How Long Does it Take to Read Ergodic Theory and Fractal Geometry?

It takes the average reader 1 hour and 11 minutes to read Ergodic Theory and Fractal Geometry by Hillel Furstenberg

Assuming a reading speed of 250 words per minute. Learn more

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. A co-publication of the AMS and CBMS.

How long is Ergodic Theory and Fractal Geometry?

Ergodic Theory and Fractal Geometry by Hillel Furstenberg is 69 pages long, and a total of 17,871 words.

This makes it 23% the length of the average book. It also has 22% more words than the average book.

How Long Does it Take to Read Ergodic Theory and Fractal Geometry Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 37 minutes to read Ergodic Theory and Fractal Geometry aloud.

What Reading Level is Ergodic Theory and Fractal Geometry?

Ergodic Theory and Fractal Geometry is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Ergodic Theory and Fractal Geometry?

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