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arxiv: 1707.03441 · v1 · pith:A2VFMEAMnew · submitted 2017-07-11 · 🧮 math.DS

On the distribution of zeros of a Ruelle zeta-function

classification 🧮 math.DS
keywords distributionoperatorruellecalleddynamicaleigenvalueslimitmapsto
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We study the limit distribution of eigenvalues of a Ruelle operator (which is also called the Thurston pushforward operator) for the dynamical system $z \mapsto z^2+c$ when $c<-2$ and tends to $-2$.

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