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math.DS2019
Dimension Theory of some non-Markovian repellers Part II: Dynamically defined function graphs
Balázs Bárány, Michał Rams, Károly Simon
This is the second part in a series of two papers. Here, we give an overview on the dimension theory of some dynamically defined function graphs, like Takagi and Weierstrass functi…
math.DS2019
Dimension Theory of some non-Markovian repellers Part I: A gentle introduction
Balázs Bárány, Michał Rams, Károly Simon
Michael Barnsley introduced a family of fractals sets which are repellers of piecewise affine systems. The study of these fractals was motivated by certain problems that arose in f…