Rational maps with clustering and the mating of polynomials

The main focus of this thesis is the study of a special class of bicritical rational maps of the Riemann sphere. This special property will be called clustering; which informally is when a subcollection of the immediate basins of the two (super-)attracting periodic orbits meet at a periodic point p,...

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Bibliographic Details
Main Author: Sharland, Thomas Joseph
Published: University of Warwick 2010
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.536257