Distribution of polynomials with cycles of a given multiplier

Giovanni Bassanelli, François Berteloot
2011 Nagoya mathematical journal  
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