Special Session 5: Scientific Computation and Numerical Algorithms
Continuity of the Hausdorff and packing measure for continued fraction Cantor sets
Daniel Ingebretson
Ben-Gurion University of the Negev Israel
Co-Author(s):
Abstract:
We establish a continuity result for the packing measure of infinite continued fraction iterated function systems. Our methods also show continuity for the Hausdorff measure, giving a simpler proof of a result of Urbanski and Zdunik.