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Distribution of polynomials with cycles of a given multiplier
2011
Nagoya mathematical journal
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AbstractIn the space of degreedpolynomials, the hypersurfaces defined by the existence of a cycle of periodnand multipliereiθare 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.
doi:10.1017/s0027763000026106
fatcat:ia2kafduqjdubp3e5vnm2gg3ae