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Ergodic Theory and Fractal Geometry (CBMS Regional Conference Series in Mathematics)

Hillel Furstenberg




[PDF.aj52] Ergodic Theory and Fractal Geometry (CBMS Regional Conference Series in Mathematics)

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 | #1955154 in Books |  2014-08-08 | Original language:English |  10.25 x7.00 x.25l, | File type: PDF | 69 pages

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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 th...

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