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- W3006472840 abstract "We prove that if a holomorphic self-map $fcolon Omegato Omega$ of a bounded strongly convex domain $Omegasubset mathbb C^q$ with smooth boundary is hyperbolic then it admits a natural semi-conjugacy with a hyperbolic automorphism of a possibly lower dimensional ball $mathbb B^k$. We also obtain the dual result for a holomorphic self-map $fcolon Omegato Omega$ with a boundary repelling fixed point. Both results are obtained by rescaling the dynamics of $f$ via the squeezing function." @default.
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- W3006472840 date "2020-02-13" @default.
- W3006472840 modified "2023-10-06" @default.
- W3006472840 title "Canonical models on strongly convex domains via the squeezing function" @default.
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