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OverviewThis two-volume set provides a comprehensive and self-contained approach to the dynamics, ergodic theory, and geometry of elliptic functions mapping the complex plane onto the Riemann sphere. Volume I discusses many fundamental results from ergodic theory and geometric measure theory in detail, including finite and infinite abstract ergodic theory, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various conformal measures, conformal graph directed Markov systems and iterated functions systems, classical theory of elliptic functions. In Volume II, all these techniques, along with an introduction to topological dynamics of transcendental meromorphic functions, are applied to describe the beautiful and rich dynamics and fractal geometry of elliptic functions. Much of this material is appearing for the first time in book or even paper form. Both researchers and graduate students will appreciate the detailed explanations of essential concepts and full proofs provided in what is sure to be an indispensable reference. Full Product DetailsAuthor: Janina Kotus (Warsaw University of Technology) , Mariusz Urbanski (University of North Texas)Publisher: Cambridge University Press Imprint: Cambridge University Press ISBN: 9781009216050ISBN 10: 1009216058 Pages: 400 Publication Date: 04 May 2023 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Mixed media product Publisher's Status: Forthcoming Availability: Not yet available, will be POD This item is yet to be released. You can pre-order this item and we will dispatch it to you upon it's release. This is a print on demand item which is still yet to be released. Table of ContentsReviewsAuthor InformationJanina Kotus is Professor of Mathematics at the Warsaw University of Technology, Poland. Her research focuses on dynamical systems, in particular holomorphic dynamical systems. Together with I. N. Baker and Y. Lu she laid the foundations for iteration of meromophic functions. Mariusz Urbanski is Professor of Mathematics at the University of North Texas. His research interests include dynamical systems, ergodic theory, fractal geometry, iteration of rational and meromorphic functions, open dynamical systems, iterated function systems, Kleinian groups, diophantine approximations, topology and thermodynamic formalism. He is the author of eight books, seven monographs, and more than 200 papers. Tab Content 6Author Website:Countries AvailableAll regions |