Download e-book for iPad: Quasiconformal Surgery in Holomorphic Dynamics (Cambridge by Bodil Branner,Núria Fagella

By Bodil Branner,Núria Fagella

because its advent within the early Nineteen Eighties quasiconformal surgical procedure has turn into a huge software within the improvement of the idea of holomorphic dynamics, and it truly is crucial historical past wisdom for any researcher within the box. during this complete advent the authors start with the principles and a normal description of surgical procedure concepts ahead of turning their cognizance to a wide selection of purposes. They show the different sorts of surgical procedures that lie in the back of many very important leads to holomorphic dynamics, dealing particularly with Julia units and the Mandelbrot set. of those surgical procedures transcend the classical realm of quasiconformal surgical procedure and use trans-quasiconformal surgical procedure. one other bargains with holomorphic correspondences, a common generalization of holomorphic maps. The publication is perfect for graduate scholars and researchers requiring a self-contained textual content together with a number of purposes. It rather emphasises the geometrical principles in the back of the proofs, with many useful illustrations seldom present in the literature.

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Quasiconformal Surgery in Holomorphic Dynamics (Cambridge Studies in Advanced Mathematics) by Bodil Branner,Núria Fagella

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