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  1. Home
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  3. Meromorphic Dynamics
  • Cited by 1
Publisher:
Cambridge University Press
Online publication date:
April 2023
Print publication year:
2023
Online ISBN:
9781009215985
DOI:
https://doi.org/10.1017/9781009215985
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Geometry and Topology
Series:
New Mathematical Monographs
Information

Book description

This text, the second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all the techniques discussed to describe the beautiful and rich dynamics of elliptic functions. The text begins with an introduction to topological dynamics of transcendental meromorphic functions, before progressing to elliptic functions, discussing at length their classical properties, measurable dynamics and fractal geometry. The authors then look in depth at compactly non-recurrent elliptic functions. Much of this material is appearing for the first time in book or paper form. Both senior and junior researchers working in ergodic theory and dynamical systems will appreciate what is sure to be an indispensable reference.

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