Complex a priori bounds for Lorenz maps

2020/02/13 by Gaidashev, Denis, Gorbovickis, Igors
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.05807

Abstract

We construct complex a-priori bounds for certain infinitely renormalizable Lorenz maps. As a corollary, we show that renormalization is a real-analytic operator on the corresponding space of Lorenz maps.

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