3 papers
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 n…
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.AP2019
A Thorough Look at the (In)Stability of Piston-theoretic Beams
Jason Howell, Katelynn Huneycutt, Justin T. Webster +1
We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic rest…