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تسجيل مستخدم جديدSpeiser class Julia sets with dimension near one
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For any $ delta >0$ we construct an entire function $f$ with three singular values whose Julia set has Hausdorff dimension at most $1=delta$. Stallard proved that the dimension must be strictly larger than 1 whenever $f$ has a bounded singular set, but no examples with finite singular set and dimension strictly less than 2 were previously known.
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