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Nagoya Mathematical Journal (1)

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Distribution of polynomials with cycles of a given multiplier
Giovanni Bassanelli, François Berteloot
Journal:

Nagoya Mathematical Journal / Volume 201 / March 2011

Published online by Cambridge University Press:

11 January 2016, pp. 23-43

Print publication:

March 2011
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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.