Meromorphic Dynamics: Volume 2: Elliptic Functions with an Introduction to the Dynamics of Meromorphic...

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Janina Kotus (Warsaw University of Technology) Mariusz Urbański (University of North Texas)

Meromorphic Dynamics

Volume 2: Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions

Janina Kotus (Warsaw University of Technology), Mariusz Urbański (University of North Texas)

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English

Cambridge University Press
04 May 2023

Complex analysis, complex variables; Integral calculus & equations; Differential & Riemannian geometry; Topology; Engineering thermodynamics

Series: New Mathematical Monographs

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.

By: Janina Kotus (Warsaw University of Technology), Mariusz Urbański (University of North Texas)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 158mm, Spine: 34mm
Weight: 910g
ISBN: 9781009215978
ISBN 10: 1009215973
Series: New Mathematical Monographs
Pages: 480
Publication Date: 04 May 2023
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Janina 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. Lű she laid the foundations for iteration of meromophic functions. Mariusz Urbański 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.