46 citations · 268 across the 58 of their papers we have counts for
79 papers
On the Marstrand projection theorem for the Assouad spectrum
Kenneth J. Falconer, Jonathan M. Fraser, Antti Käenmäki
Marstrand's projection theorem states that the Hausdorff dimension of the orthogonal projection of a Borel set in the plane onto lines is constant almost surely. This property exte…
Applications of dimension interpolation to orthogonal projections
Jonathan M. Fraser
Dimension interpolation is a novel programme of research which attempts to unify the study of fractal dimension by considering various spectra which live in between well-studied no…
The Fourier spectrum and sumset type problems
Jonathan M. Fraser
We introduce and study the \emph{Fourier spectrum} which is a continuously parametrised family of dimensions living between the Fourier dimension and the Hausdorff dimension for bo…
Assouad-type Dimensions of Overlapping Self-affine Sets
Jonathan M. Fraser, Alex Rutar
We study the Assouad and quasi-Assoaud dimensions of dominated rectangular self-affine sets in the plane. In contrast to previous work on the dimension theory of self-affine sets,…
Assouad type dimensions of infinitely generated self-conformal sets
Amlan Banaji, Jonathan M. Fraser
We study the dimension theory of limit sets of iterated function systems consisting of a countably infinite number of conformal contractions. Our focus is on the Assouad type dimen…
The Assouad spectrum of Kleinian limit sets and Patterson-Sullivan measure
Jonathan M. Fraser, Liam Stuart
The Assouad dimension of the limit set of a geometrically finite Kleinian group with parabolics may exceed the Hausdorff and box dimensions. The Assouad \emph{spectrum} is a contin…