46 citations · 268 across the 58 of their papers we have counts for
4 papers · 1 filter
On Fourier analytic properties of graphs
Jonathan M. Fraser, Tuomas Orponen, Tuomas Sahlsten
We study the Fourier dimensions of graphs of real-valued functions defined on the unit interval [0,1]. Our results imply that the graph of the fractional Brownian motion is almost…
Dimension and measure for generic continuous images
Richárd Balka, Ábel Farkas, Jonathan M. Fraser +1
We consider the Banach space consisting of continuous functions from an arbitrary uncountable compact metric space, , into . The key question is `what is the gener…
A note on the 1-prevalence of continuous images with full Hausdorff dimension
Jonathan M. Fraser, James T. Hyde
We consider the Banach space consisting of real-valued continuous functions on an arbitrary compact metric space. It is known that for a prevalent (in the sense of Hunt, Sauer and…
Dimension and measure for typical random fractals
Jonathan M. Fraser
We consider the dimension and measure of typical attractors of random iterated function systems (RIFSs). We define a RIFS to be a finite set of (deterministic) iterated function sy…