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Meromorphic Dynamics 2 Volume Hardback Set (Hardcover)
Loot Price: R5,736
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Meromorphic Dynamics 2 Volume Hardback Set (Hardcover)
Series: New Mathematical Monographs
Expected to ship within 12 - 17 working days
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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.
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