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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19564593 |
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Table of Contents:
- <p>This paper develops a two‑point dynamical theory for iterates of holomorphic functions. It studies the iterated collision locus and derives an exact product formula for the collision pair field. The connection and curvature of the iterated collision geometry satisfy additive cocycle formulas, and the theory decomposes into first‑collision strata with associated branch creation counts. The results are applied to rational maps and relate branch creation to the hitting of critical orbits. Keywords include holomorphic dynamics, divided differences, self‑fiber products, Schwarzian derivative, rational maps, collision divisors and ramification.</p>