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Rotation Sets and Complex Dynamics
Language: en
Pages: 135
Authors: Saeed Zakeri
Categories: Mathematics
Type: BOOK - Published: 2018-06-23 - Publisher: Springer

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This monograph examines rotation sets under the multiplication by d (mod 1) map and their relation to degree d polynomial maps of the complex plane. These sets
Complex Dynamics
Language: en
Pages: 181
Authors: Lennart Carleson
Categories: Mathematics
Type: BOOK - Published: 2013-11-11 - Publisher: Springer Science & Business Media

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A discussion of the properties of conformal mappings in the complex plane, closely related to the study of fractals and chaos. Indeed, the book ends in a detail
Frontiers in Complex Dynamics
Language: en
Pages: 799
Authors: Araceli Bonifant
Categories: Mathematics
Type: BOOK - Published: 2014-03-16 - Publisher: Princeton University Press

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John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal
Complex Dynamics
Language: en
Pages: 218
Authors: Robert L. Devaney
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of
Early Days in Complex Dynamics
Language: en
Pages: 474
Authors: Daniel S. Alexander
Categories: Mathematics
Type: BOOK - Published: 2012 - Publisher: American Mathematical Soc.

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The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourish