Dimension Theory of Some Non-Markovian Repellers Part II: Dynamically Defined Function Graphs

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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 generalized Takagi functions generated by non-Markovian dynamics.

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Bárány, B., Rams, M., & Simon, K. (2021). Dimension Theory of Some Non-Markovian Repellers Part II: Dynamically Defined Function Graphs. In Springer Proceedings in Mathematics and Statistics (Vol. 350, pp. 49–66). Springer. https://doi.org/10.1007/978-981-16-0174-3_3

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