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math.MG2012
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…
math.MG2012★ 5 cited
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…