2 papers
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…
math.AP2017
A Differential Harnack Inequality for the Newell-Whitehead Equation
Derek Booth, Jack Burkart, Xiaodong Cao +4
This paper will develop a Li-Yau-Hamilton type differential Harnack estimate for positive solutions to the Newell-Whitehead equation on . We then use our LYH-differen…