46 citations · 268 across the 58 of their papers we have counts for
5 papers · 1 filter
Regularity of Kleinian limit sets and Patterson-Sullivan measures
Jonathan M. Fraser
We consider several (related) notions of geometric regularity in the context of limit sets of geometrically finite Kleinian groups and associated Patterson-Sullivan measures. We be…
On the upper regularity dimensions of measures
Jonathan M. Fraser, Douglas C. Howroyd
We study the \emph{upper regularity dimension} which describes the extremal local scaling behaviour of a measure and effectively quantifies the notion of \emph{doubling}. We conduc…
Dimensions of equilibrium measures on a class of planar self-affine sets
Jonathan Fraser, Thomas Jordan, Natalia Jurga
We study equilibrium measures (Käenmäki measures) supported on self-affine sets generated by a finite collection of diagonal and anti-diagonal matrices acting on the plane and sati…
Dimensions of sets which uniformly avoid arithmetic progressions
Jonathan M. Fraser, Kota Saito, Han Yu
We provide estimates for the dimensions of sets in which uniformly avoid finite arithmetic progressions. More precisely, we say uniformly avoids arithmetic progres…
Distance sets, orthogonal projections, and passing to weak tangents
Jonathan M. Fraser
We consider the Assouad dimension analogues of two important problems in geometric measure theory. These problems are tied together by the common theme of `passing to weak tangents…