A Non-Autonomous Model for Parabolic Implosion

Published 22 Jan 2026 in math.CV and math.DS | (2601.16311v1)

Abstract: 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.

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