Resurgence of Receding Limbs

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Resurgence of Receding Limbs

• Ergodic Methods in Dynamics
• Bedlewo April 24. 2012

Carsten Lunde Petersen NSM RUC
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• Joint work Adam Epstein, Warwick University

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1/3 Limb
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Zoom on 1/3 Limb and wake
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1/3 wake and Limb with dyadic sub-wakes
M1/3 in purple
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Sub wakes of 1/3 Limb
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• This explains the notion of Limbs in the
  Mandelbrot set and its dyadic decorations.
• Now we come to the Main topic Quadratic rational
  maps.

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M0,5, s2-plane
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M0
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M1
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(245108.75i5-78.75i)
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M1
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The End
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