A Plane Rational Map with Chebyshev-like Dynamics

Doctoral Dissertation


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.


Attribute NameValues
  • 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
  • United States of America

  • blow up

  • algebraic stability

  • expanding metric

  • fibration

  • University of Notre Dame

  • English

Record Visibility and Access Public
Content License
  • All rights reserved

Departments and Units


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