By Javier Iglesias and others

Let *f: S^2 \to S^2* be a continuous map of degree *d*, *|d|>1*, and let *N_nf* denote the number of fixed points of *f^n*. We show that if *f* is a Thurston map with non hyperbolic orbifold, then either the growth rate inequality *\limsup \frac{1}{n} \log N_nf\geq \log |d|* holds... Show more

November 7, 2022

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The growth rate inequality for Thurston maps with non hyperbolic orbifolds

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