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

## TL;DR

This paper explores the dimension theory of dynamically defined function graphs, including Takagi and Weierstrass functions, focusing on Markovian and non-Markovian fractal interpolation functions and their fractal dimensions.

## Contribution

It extends the dimension analysis to non-Markovian dynamics and provides new insights into the fractal properties of these complex functions.

## Key findings

- Dimension results for Markovian fractal interpolation functions
- Analysis of generalized Takagi functions
- Comparison between Markovian and non-Markovian dynamics

## 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.