ug 2 00 7 DISTRIBUTION OF RATIONAL MAPS WITH A PREPERIODIC CRITICAL POINT

@inproceedings{Dujardin2007ug20,
  title={ug 2 00 7 DISTRIBUTION OF RATIONAL MAPS WITH A PREPERIODIC CRITICAL POINT},
  author={Romain Dujardin and Charles Favre},
  year={2007}
}
Let {fλ}λ be any algebraic family of rational maps of a fixed degree, with a marked critical point c(λ). We first prove that the hypersurfaces of parameters for which c(λ) is periodic converge as a sequence of positive closed (1, 1) currents to the bifurcation current attached to c and defined by DeMarco [DeM1]. We then turn our attention to the parameter space of polynomials of a fixed degree d. By intersecting the d − 1 currents attached to each critical point of a polynomial, Bassaneli and… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 60 references

115–193

  • Demailly, J.-P. Monge-Ampère operators, Lelong numbers, intersection theory. Complex analysis, geometry
  • Univ. Ser. Math., Plenum, New York,
  • 1993
Highly Influential
4 Excerpts

6

  • Klimek, M. Pluripotential theory. London Mathematical Society Series
  • Oxford Science Publications. The Clarendon Press…
  • 1991
Highly Influential
3 Excerpts

Combinatorial continuity in complex polynomial dynamics

  • J. Kiwi
  • Proc. London Math. Soc. (3)
  • 2005

Propriétés ergodiques des applications rationnelles

  • V. Guedj
  • Thèse d’habilitation de la faculté des sciences…
  • 2005

Fractal geometry and applications: a jubilee of Benôıt Mandelbrot

  • Schleicher, D. On fibers, local connectivity of Mandelbrot, Multibrot sets
  • Proc. Sympos. Pure Math., 72, Part 1, Amer. Math…
  • 2004
1 Excerpt

Real laminations and the topological dynamics of complex polynomials

  • J. Kiwi
  • Adv. Math
  • 2004

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