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- W2143173850 abstract "Abstract Let Λ denote the Weierstrass function with a period lattice Λ. We consider escaping parameters in the family β Λ , i.e. the parameters β for which the orbits of all critical values of β Λ approach infinity under iteration. Unlike the exponential family, the functions considered here are ergodic and admit a non-atomic, σ-finite, ergodic, conservative and invariant measure μ absolutely continuous with respect to the Lebesgue measure. Under additional assumptions on Λ , we estimate the Hausdorff dimension of the set of escaping parameters in the family β Λ from below, and compare it with the Hausdorff dimension of the escaping set in the dynamical space, proving a similarity between the parameter plane and the dynamical space." @default.
- W2143173850 created "2016-06-24" @default.
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- W2143173850 date "2012-10-01" @default.
- W2143173850 modified "2023-09-27" @default.
- W2143173850 title "Hausdorff dimension of the set of elliptic functions with critical values approaching infinity" @default.
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- W2143173850 doi "https://doi.org/10.1017/s0305004112000448" @default.
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