18 citations · 18 across the 3 of their papers we have counts for
5 papers
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…
Slicing the Sierpiński gasket
Balázs Bárány, Andrew Ferguson, Károly Simon
We investigate the dimension of intersections of the Sierpiński gasket with lines. Our first main result describes a countable, dense set of angles that are exceptional for Marstra…
Dimension of self-affine sets with holes
Andrew Ferguson, Thomas Jordan, Michał Rams
In this paper we compute the dimension of a class of dynamically defined non-conformal sets. Let denote a Bedford-McMullen set and the natural e…
Escape rates for Gibbs measures
Andrew Ferguson, Mark Pollicott
We study the asymptotic behaviour of the escape rate of a Gibbs measure supported on a conformal repeller through a small hole. There are additional applications to the convergence…
The Hausdorff dimension of the projections of self-affine carpets
Andrew Ferguson, Thomas Jordan, Pablo Shmerkin
We study the orthogonal projections of a large class of self-affine carpets, which contains the carpets of Bedford and McMullen as special cases. Our main result is that if is…