Meromorphic Dynamics 2 Volume Hardback Set (Other) (ISBN-13: 9781009216050)

This 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.

Author: Janina Kotus, Mariusz Urbański
ISBN-10: 1009216058
ISBN-13: 9781009216050
Publisher: Cambridge University Press
Language: English
Published: 05/04/2023
Format: Other
Weight: 3.80lbs
Size: 9.37h x 6.14w x 2.52d

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