Complex bounds for multimodal maps: bounded combinatorics

Details Complex bounds for multimodal maps: bounded combinatorics Complex bounds for multimodal maps: bounded combinatorics

2000-09-19

arxiv.org/abs/math/0009179v2

Mathematics

Dynamical Systems

20 pages, 3 figures

Scientific paper

10.1088/0951-7715/14/5/320

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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