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A Plane Rational Map with Chebyshev-like Dynamics
thesis
posted on 2014-04-14, 00:00 authored by Han LiuThis 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.
History
Date Modified
2017-06-05Defense Date
2014-04-01Research Director(s)
Jeffrey A. DillerCommittee Members
François Ledrappier Nancy K. Stanton Mei-Chi ShawDegree
- Doctor of Philosophy
Degree Level
- Doctoral Dissertation
Language
- English
Alternate Identifier
etd-04142014-160201Publisher
University of Notre DameProgram Name
- Mathematics
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