20 citations · 128 across the 39 of their papers we have counts for
4 papers · 2 filters
Local dimensions of random homogeneous self-similar measures: strong separation and finite type
Kathryn E. Hare, Kevin G. Hare, Sascha Troscheit
We study the multifractal analysis of self-similar measures arising from random homogeneous iterated function systems. Under the assumption of the uniform strong separation conditi…
Open maps: small and large holes with unusual properties
Kevin G. Hare, Nikita Sidorov
Let be a two-sided subshift on a finite alphabet endowed with a mixing probability measure which is positive on all cylinders in . We show that there exist arbitrarily small…
Local dimensions of measures of finite type III -- Measures that are not equicontractive
Kathryn E. Hare, Kevin G. Hare, Grant Simms
We extend the study of the multifractal analysis of the class of equicontractive self-similar measures of finite type to the non-equicontractive setting. Although stronger than the…
The baker's map with a convex hole
Lyndsey Clark, Kevin G. Hare, Nikita Sidorov
We consider the baker's map on the unit square and an open convex set which we regard as a hole. The survivor set is defined as the set of all…