2 papers
math.DS2026
The specification approach to equilibrium states for parabolic rational maps
Katelynn Huneycutt, Daniel J. Thompson
We develop the specification and orbit-decomposition approach to equilibrium states for parabolic rational maps of the Riemann Sphere. Our result extends the well-known results on…
math.CV2026
A Non-Autonomous Model for Parabolic Implosion
Katelynn Huneycutt, Samantha Sandberg-Clark, Liz Vivas
Orthogonal polynomials appear naturally in the study of compositions of Möbius transformations. In this paper, we consider several classes of orthogonal polynomials associated to…