Resurgence of Receding Limbs
Ergodic Methods in DynamicsBedlewo April 24. 2012
Carsten Lunde PetersenNSM RUC
• Joint work Adam Epstein, Warwick University
Zoom on 1/3 Limb and wake
1/2
3/4 1/4
1/3 wake and Limb with dyadic
sub-wakes
M1/3 in purple
Sub wakes of 1/3 Limb
3/41/4
1/2
0
1/4
1/2
3/4
•This explains the notion of Limbs in the Mandelbrot set and its dyadic decorations.
•Now we come to the Main topic Quadratic rational maps.
(245+108.75i::5-78.75i)
(-7000+3000i::1000-3000i)