branner-hubbard motion without dynamics quasiconformal mappings and analysis on metric spaces, ann...
Post on 20-Dec-2015
216 views
TRANSCRIPT
![Page 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](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/1.jpg)
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
![Page 2: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/2.jpg)
To the memory of Juha
![Page 3: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/3.jpg)
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
![Page 4: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/4.jpg)
1) The harmonic Atlas
![Page 5: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/5.jpg)
![Page 6: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/6.jpg)
![Page 7: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/7.jpg)
![Page 8: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/8.jpg)
![Page 9: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/9.jpg)
![Page 10: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/10.jpg)
![Page 11: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/11.jpg)
The historical example: Quadratic polynomials.
![Page 12: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/12.jpg)
![Page 13: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/13.jpg)
![Page 14: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/14.jpg)
![Page 15: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/15.jpg)
![Page 16: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/16.jpg)
2) The Branner-Hubbard Motion
![Page 17: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/17.jpg)
BRANNER-HUBBARD Motion:
![Page 18: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/18.jpg)
![Page 19: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/19.jpg)
![Page 20: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/20.jpg)
![Page 21: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/21.jpg)
3) Conjectures and some results.
![Page 22: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/22.jpg)
![Page 23: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/23.jpg)
![Page 24: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/24.jpg)
![Page 25: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/25.jpg)
![Page 26: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/26.jpg)
![Page 27: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/27.jpg)
![Page 28: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/28.jpg)
![Page 29: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/29.jpg)
![Page 30: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/30.jpg)
![Page 31: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/31.jpg)
c1 c2 c3
G(c1)
G(c2)
G(c3)
![Page 32: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/32.jpg)
![Page 33: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/33.jpg)
![Page 34: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/34.jpg)
4) Connection with multifractality
![Page 35: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/35.jpg)
![Page 36: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/36.jpg)
b
a
![Page 37: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/37.jpg)
![Page 38: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/38.jpg)
![Page 39: BRANNER-HUBBARD Motion without Dynamics Quasiconformal Mappings and Analysis on Metric Spaces, Ann Arbor, May 12-17, In the memory of Juha Heinonen Michel](https://reader030.vdocuments.mx/reader030/viewer/2022032800/56649d445503460f94a20eea/html5/thumbnails/39.jpg)