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.
|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|
|Departments and Units|