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THE IMMEDIATE BASIN OF ATTRACTION OF INFINITY FOR POLYNOMIAL SEMIGROUPS OF FINITE TYPE

Published online by Cambridge University Press:  28 January 2004

DAVID A. BOYD
DAVID A. BOYD
Affiliation:
Department of Mathematics, Washington State University, Pullman, WA 99164, USAboyd@math.wsu.edu
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Abstract

As a generalization of the dynamics of a single polynomial, Hinkkanen and Martin studied the dynamics of polynomial semigroups of finite type. Among the issues addressed were possible generalizations of the filled-in Julia set of a single polynomial and the basin of attraction for infinity. In the paper, these concepts are further refined, and the connections between the dynamics of a single function and the dynamics of semigroups are strengthened.

Keywords

37F10
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 1 , February 2004 , pp. 201 - 213
Copyright
The London Mathematical Society 2004

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