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

Penned By Hillel Furstenberg
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Ergodic Theory and Fractal Geometry (Regional Conference Series in Mathematics, #120)

Penned By Hillel Furstenberg
4.85 35,482 Ratings
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Editor's Note:
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.

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Length 69 Pages
Language Eng
Imprint American Mathematical Society
Released N/A
Identifier (ISBN) 28474072
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Hillel Furstenberg
The Mind Behind the Work
Hillel Furstenberg

Hillel Furstenberg is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Hillel Furstenberg can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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Jessica Jones
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"I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel."
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"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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William Reyes
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"It was adequate. The prose was competent, yet the characters lacked the depth I usually seek. Suitable if your reading queue is empty."
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"Exceeded all my expectations. I adored how the story unfolded. It kept me captivated without sacrificing elegance. Worth every moment spent reading."
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"Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I am now a lifelong fan of this author."
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"Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading."
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Betty Walker
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"Took a moment to build, but the payoff was spectacular. It held my rapt attention, even when certain twists were telegraphed. Quite impressive overall."
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