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arxiv: 1903.08873 · v1 · pith:F3B3D5XQnew · submitted 2019-03-21 · 🧮 math.DS

Bounded hyperbolic components of bicritical rational maps

classification 🧮 math.DS
keywords bicriticalmapsrationalboundedcomponentshyperbolicargumentsarithmetic
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We prove that the hyperbolic components of bicritical rational maps having two distinct attracting cycles each of period at least two are bounded in the moduli space of bicritical rational maps. Our arguments rely on arithmetic methods.

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