A Plane Rational Map with Chebyshev-like Dynamics

Doctoral Dissertation
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Abstract

This paper concerns a specific rational map of two complex variables whose dynamics are closely related to those of the well known one variable Chebyshev map. The goal is to obtain a complete description of the dynamics of the map, something that is rarely possible for such examples and then go on to study dynamics of some nearby perturbations.

Attributes

Attribute NameValues
URN
  • etd-04142014-160201

Author Han Liu
Advisor Jeffrey A. Diller
Contributor Jeffrey A. Diller, Committee Chair
Contributor François Ledrappier, Committee Member
Contributor Nancy K. Stanton, Committee Member
Contributor Mei-Chi Shaw, Committee Member
Degree Level Doctoral Dissertation
Degree Discipline Mathematics
Degree Name PhD
Defense Date
  • 2014-04-01

Submission Date 2014-04-14
Country
  • United States of America

Subject
  • blow up

  • algebraic stability

  • expanding metric

  • fibration

Publisher
  • University of Notre Dame

Language
  • English

Record Visibility and Access Public
Content License
  • All rights reserved

Departments and Units

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