46 citations · 268 across the 58 of their papers we have counts for
Showing 2015 · math.DSShow all
3 papers · 2 filters
math.DS2015★ 7 cited
Quantifying inhomogeneity in fractal sets
Jonathan M. Fraser, Mike Todd
An inhomogeneous fractal set is one which exhibits different scaling behaviour at different points. The Assouad dimension of a set is a quantity which finds the `most difficult loc…
math.DS2015
Uniform scaling limits for ergodic measures
Jonathan M. Fraser, Mark Pollicott
We prove that ergodic measures on one-sided shift spaces are uniformly scaling in the sense of Gavish. That is, given a shift ergodic measure we prove that at almost every point th…
math.DS2015★ 4 cited
Micromeasure distributions and applications for conformally generated fractals
Jonathan M. Fraser, Mark Pollicott
We study the scaling scenery of Gibbs measures for subshifts of finite type on self-conformal fractals and applications to Falconer's distance set problem and dimensions of project…