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math.PR2017
Assouad dimension of random processes
Douglas Howroyd, Han Yu
In this paper we study the Assouad dimension of graphs of certain Lévy processes and functions defined by stochastic integrals. We do this by introducing a convenient condition whi…
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…