BRANNER-HUBBARD Motion without Dynamics

Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen

Michel Zinsmeister, MAPMO, UMR 6628,Orléans, France

To the memory of Juha

Adrien Douady’s last work:

Branner-Hubbard Motion without Dynamics.

2) Branner Hubbard Motion.

3) Conjectures, perspectives and some results

1) The harmonic Atlas

4) Link with multifractality

1) The harmonic Atlas

The historical example: Quadratic polynomials.

2) The Branner-Hubbard Motion

BRANNER-HUBBARD Motion:

3) Conjectures and some results.

c1 c2 c3

G(c1)

G(c2)

G(c3)

4) Connection with multifractality

b

a