36 citations · 134 across the 54 of their papers we have counts for
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Ergodic Theory of Kusuoka Measures
Anders Johansson, Anders Öberg, Mark Pollicott
In the analysis on self-similar fractal sets, the Kusuoka measure plays an important role (cf. \cite{kusuoka2}, \cite{kajino}, \cite{str3}). Here we investigate the Kusuoka measure…
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…
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…
Joint spectral radius, Sturmian measures, and the finiteness conjecture
Oliver Jenkinson, Mark Pollicott
The joint spectral radius of a pair of 2x2 real matrices is defined to be $r(A_0,A_1)= \limsup_{n\to\infty} \max \{\|A_{i_1}...A_{i_n}\|^{1/n}: i_j…