46 citations · 268 across the 58 of their papers we have counts for
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On the -spectrum of planar self-affine measures
Jonathan M. Fraser
We study the dimension theory of a class of planar self-affine multifractal measures. These measures are the Bernoulli measures supported on box-like self-affine sets, introduced b…
Remarks on the analyticity of subadditive pressure for products of triangular matrices
Jonathan M. Fraser
We study Falconer's subadditive pressure function with emphasis on analyticity. We begin by deriving a simple closed form expression for the pressure in the case of diagonal matric…
Inhomogeneous self-affine carpets
Jonathan M. Fraser
We investigate the dimension theory of inhomogeneous self-affine carpets. Through the work of Olsen, Snigireva and Fraser, the dimension theory of inhomogeneous self-similar sets i…
Scaling scenery of invariant measures
Andrew Ferguson, Jonathan Fraser, Tuomas Sahlsten
We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral endomorphism that are Bernoulli measures for…
Assouad type dimensions and homogeneity of fractals
Jonathan M. Fraser
We investigate several aspects of the Assouad dimension and the lower dimension, which together form a natural `dimension pair'. In particular, we compute these dimensions for cert…
Inhomogeneous self-similar sets and box dimensions
Jonathan M. Fraser
We investigate the box dimensions of inhomogeneous self-similar sets. Firstly, we extend some results of Olsen and Snigireva by computing the upper box dimensions assuming some mil…