Conformal Fractals: Ergodic Theory Methods

Large book cover: Conformal Fractals: Ergodic Theory Methods

Conformal Fractals: Ergodic Theory Methods

Publisher: Cambridge University Press
ISBN/ASIN: 0521438004
ISBN-13: 9780521438001
Number of pages: 362

This is a one-stop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments in the field of 1-dimensional holomorphic iterations and underlying fractal sets, from the point of view of geometric measure theory and rigidity. Detailed proofs are included.

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