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math.CV2020
A Jordan Curve that cannot be Crossed by Rectifiable Arcs on a Set of Zero Length
Jack Burkart
We construct a Jordan curve so that for any rectifiable arc with endpoints in distinct complementary components of , .
math.CV2019
Transcendental Julia Sets with Fractional Packing Dimension
Jack Burkart
We construct a family of transcendental entire functions whose Julia sets have packing dimension in . These are the first examples where the computed packing dimension is no…