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On the Limits of Quasiconformal Deformation of Rational Maps

Adventurous Berkeley Complex Dynamics May 02, 2022 - May 06, 2022

May 05, 2022 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Mitsuhiro Shishikura (Kyoto University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords
  • Complex Dynamics

  • quasiconformal deformation

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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On The Limits Of Quasiconformal Deformation Of Rational Maps

Abstract

We consider the quasiconformal deformation of rational maps supported on Fatou components so that the annuli are stretched. The limit is described by a piecewise linear map on a tree, and inverse construction will be discussed.

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93187?type=thumb On The Limits Of Quasiconformal Deformation Of Rational Maps 2.17 MB application/pdf Download
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On The Limits Of Quasiconformal Deformation Of Rational Maps

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