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Quasiconformal Mappings and Metric Spaces: Branner-Hubbard Motion Without Dynamics

This conference, held in Ann Arbor from May 12-17 in memory of Juha Heinonen and Adrien Douady, explores the fascinating concept of Branner-Hubbard motion without dynamics within the realm of quasiconformal mappings and analysis on metric spaces. Highlights include discussions on the harmonic atlas, conjectures, perspectives, and results related to Branner-Hubbard motion, as well as connections to multifractality. This gathering aims to inspire further research and deepen understanding of these complex mathematical ideas.

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Quasiconformal Mappings and Metric Spaces: Branner-Hubbard Motion Without Dynamics

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  1. 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

  2. To the memory of Juha

  3. 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

  4. 1) The harmonic Atlas

  5. The historical example: Quadratic polynomials.

  6. 2) The Branner-Hubbard Motion

  7. BRANNER-HUBBARD Motion:

  8. 3) Conjectures and some results.

  9. c1 c2 c3 G(c2) G(c3) G(c1)

  10. 4) Connection with multifractality

  11. a b

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