Hyperbolic Dimension Gaps for Entire Functions (joint with Volker Mayer)
Time: 2024-04-16
Published By: He Liu
Speaker(s): Mariusz Urbanski(University of North Texas)
Time: 09:00-09:50 April 18, 2024
Venue: Online
Polynomials and entire functions whose hyperbolic dimension is strictly smaller than the Hausdorff dimension of their Julia set are known to exist but in all known examples the latter dimension is maximal, i.e. equal to two. In this talk I will describe hyperbolic entire functions $f$ having Hausdorff dimension of the Julia set $HD (J _f)<2$ and hyperbolic dimension $HypDim(f)<HD(J_f)$.
Zoom Meeting ID: 181 155 584