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March 2011 Distribution of polynomials with cycles of a given multiplier
Giovanni Bassanelli, François Berteloot
Nagoya Math. J. 201: 23-43 (March 2011). DOI: 10.1215/00277630-2010-016

Abstract

In the space of degree d polynomials, the hypersurfaces defined by the existence of a cycle of period n and multiplier eiθ are known to be contained in the bifurcation locus. We prove that these hypersurfaces equidistribute the bifurcation current. This is a new result, even for the space of quadratic polynomials.

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Giovanni Bassanelli. François Berteloot. "Distribution of polynomials with cycles of a given multiplier." Nagoya Math. J. 201 23 - 43, March 2011. https://doi.org/10.1215/00277630-2010-016

Information

Published: March 2011
First available in Project Euclid: 11 February 2011

zbMATH: 1267.37049
MathSciNet: MR2772169
Digital Object Identifier: 10.1215/00277630-2010-016

Subjects:
Primary: 37F45
Secondary: 32U15

Rights: Copyright © 2011 Editorial Board, Nagoya Mathematical Journal

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Vol.201 • March 2011
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