In the space of degree polynomials, the hypersurfaces defined by the existence of a cycle of period and multiplier 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.
"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