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math.DS2009
Distribution of polynomials with cycles of given multiplier
Giovanni Bassanelli, Francois Berteloot
In the family of degree polynomials the hypersurfaces defined by the existence of a cycle of period and multiplier are shown to equiditribute the bifurcation curre…
math.DS2007★ 3 cited
Normalization of bundle holomorphic contractions and applications to dynamics
F. Berteloot, C. Dupont, L. Molino
We establish a Poincaré-Dulac theorem for sequences (G_n)_n of holomorphic contractions whose differentials d_0 G_n split regularly. The resonant relations determining the normal f…