most citedGrowth and Zeros of the Zeta Function for Hyperbolic Rational Maps

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math.DS2004★ 1 cited

Growth and Zeros of the Zeta Function for Hyperbolic Rational Maps

Hans Christianson

This paper describes new results on the growth and zeros of the Ruelle zeta function for the Julia set of a hyperbolic rational map. It is shown that the zeta function is bounded b…