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arXiv · 1901.04037

Dimension Theory of some non-Markovian repellers Part II: Dynamically defined function graphs

Balázs Bárány·Michał\ Rams·Károly Simon
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Abstract

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 function, and we study the dimension of Markovian fractal interpolation functions and generalised Takagi functions generated by non-Markovian dynamics.

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Balázs Bárány, Michał\ Rams, Károly Simon. 2019-01-13. Dimension Theory of some non-Markovian repellers Part II: Dynamically defined function graphs. https://arxiv.org/abs/1901.04037

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