63 citations · 156 across the 13 of their papers we have counts for
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math.DS2013★ 63 cited
On the dimension of the graph of the classical Weierstrass function
Krzysztof Barański, Balázs Bárány, Julia Romanowska
This paper examines dimension of the graph of the famous Weierstrass non-differentiable function \[ W_{λ, b} (x) = \sum_{n=0}^{\infty}λ^n\cos(2πb^n x) \] for an integer a…
math.DS2013★ 18 cited
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…