Special Session 6: Special session on Fractal Geometry, Dynamical Systems, and Their Applications
Exact Hausdorff and packing measures of some sets of digital and Luroth expansions
Daniel Ingebretson
Ben-Gurion University of the Negev Israel
Co-Author(s):
Abstract:
We calculate the exact values of the Hausdorff and packing measures of some fractal sets arising in numeration systems. Specifically, sets of digital expansions and Luroth expansions that are missing digits beyond a given threshold.