46 citations · 268 across the 58 of their papers we have counts for
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math.MG2017
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…
math.MG2017
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…