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Complex bounds for multimodal maps: bounded combinatorics

Daniel Smania
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Abstract

We proved the so called complex bounds for multimodal, infinitely renormalizable analytic maps with bounded combinatorics: deep renormalizations have polynomial-like extensions with definite modulus. The complex bounds is the first step to extend the renormalization theory of unimodal maps to multimodal maps.

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Daniel Smania. 2000-09-19. Complex bounds for multimodal maps: bounded combinatorics. https://doi.org/10.1088/0951-7715%2F14%2F5%2F320

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