Conformal Fractals: Ergodic Theory Methods
by F. Przytycki, M. Urbanski
Publisher: Cambridge University Press 2009
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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