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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.16311 |
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| _version_ | 1866915749543542784 |
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| author | Huneycutt, Katelynn Sandberg-Clark, Samantha Vivas, Liz |
| author_facet | Huneycutt, Katelynn Sandberg-Clark, Samantha Vivas, Liz |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16311 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Non-Autonomous Model for Parabolic Implosion Huneycutt, Katelynn Sandberg-Clark, Samantha Vivas, Liz Complex Variables Dynamical Systems 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. |
| title | A Non-Autonomous Model for Parabolic Implosion |
| topic | Complex Variables Dynamical Systems |
| url | https://arxiv.org/abs/2601.16311 |