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math.CA2021★ 1 cited
Area-filling curves
Maria Chiara Nasso, Aljoša Volčič
In this paper we study area-filling curves, i.e. continuous and injective mappings defined on [0,1] whose graph has positive measure. Current literature calls them ``Osgood curves"…
math.CA2010
Uniform distribution on the sphere and caps
Aljosa Volcic
In this note we will consider the question when from the appropriate behavior of a sequence of points on caps we can conclude that the sequence is uniformly distributed on the sphe…