Author:
FRIED DAVID,MAROTTA SEBASTIAN M.,STANKEWITZ RICH
Abstract
AbstractWe study the dynamics of semigroups of Möbius transformations on the Riemann sphere, especially their Julia sets and attractors. This theory relates to the dynamics of rational functions, rational semigroups, and Möbius groups and we compare and contrast these theories. We particularly examine Caruso’s family of Möbius semigroups, based on a random dynamics variant of the Fibonacci sequence.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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