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Bibliographic Details
Main Authors:	Huneycutt, Katelynn, Sandberg-Clark, Samantha, Vivas, Liz
Format:	Preprint
Published:	2026
Subjects:	Complex Variables Dynamical Systems
Online Access:	https://arxiv.org/abs/2601.16311
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Table of Contents:

Orthogonal polynomials appear naturally in the study of compositions of Möbius transformations. In this paper, we consider several classes of orthogonal polynomials associated to non-autonomous perturbations of a parabolic Möbius map. Our results can be viewed as instances of non-autonomous parabolic implosion, including a random perturbative regime in which convergence holds almost surely.