Jack Burkart

activity

20172024

most citedTranscendental Julia Sets of Minimal Hausdorff Dimension

1 citations · 1 across the 5 of their papers we have counts for

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math.CV2021★ 1 cited

Transcendental Julia Sets of Minimal Hausdorff Dimension

Jack Burkart, Kirill Lazebnik

We show the existence of transcendental entire functions $f : C \to C$ with Hausdorff-dimension $1$ Julia sets, such that every Fatou component of $f$ has…

math.CV2021

Interpolation of Power Mappings

Jack Burkart, Kirill Lazebnik

Let $(M_{j})_{j = 1}^{\infty} \in N$ and $(r_{j})_{j = 1}^{\infty} \in R^{+}$ be increasing sequences satisfying some mild rate of growth conditions. We prove that there is an enti…