Enumerating the basins of infinity of cubic polynomials

Laura DeMarco; Aaron Schiff

doi:10.1080/10236190903241671

Enumerating the basins of infinity of cubic polynomials

Laura DeMarco^*, Aaron Schiff

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We study the dynamics of cubic polynomials restricted to their basins of infinity, and we enumerate topological conjugacy classes with given combinatorics.

Original language	English (US)
Pages (from-to)	451-461
Number of pages	11
Journal	Journal of Difference Equations and Applications
Volume	16
Issue number	5
DOIs	https://doi.org/10.1080/10236190903241671
State	Published - May 1 2010

Keywords

Combinatorial topology
Cubic polynomials
Dynamical systems
Polynomials

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/10236190903241671

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title = "Enumerating the basins of infinity of cubic polynomials",

abstract = "We study the dynamics of cubic polynomials restricted to their basins of infinity, and we enumerate topological conjugacy classes with given combinatorics.",

keywords = "Combinatorial topology, Cubic polynomials, Dynamical systems, Polynomials",

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