BRANNER-HUBBARD Motion without
Dynamics
Congress in the Memory of
Adrien Douady,
Paris,
May 2008.
Michel Zinsmeister, MAPMO,
UMR 6628,Orléans, France
Adrien Douady’s last work:
Branner-Hubbard Motion
without Dynamics.
1) The harmonic Atlas
2) Branner Hubbard Motion.
3) Conjectures, perspectives
and some results
4) Link with multifractality
1) The
harmonic Atlas
and =0 on K
The historical example: Quadratic polynomials.
2) The Branner-Hubbard
Motion
BRANNER-HUBBARD Motion:
3) Conjectures and some results.
homeomorphic to a planar full compact set with empty interior.
c1
c2
c3
G(c2)
G(c3)
G(c1)
4) Connection with multifractality
a
b
Thanks to Arnaud Chéritat
for the computer pictures.