@inbook{392c1993358943aa97e074a89d477171,
title = "Renewal Theorems and Their Application in Fractal Geometry",
abstract = "A selection of probabilistic renewal theorems and renewal theorems in symbolic dynamics are presented. The selected renewal theorems have been widely applied. Here, we will show how they can be utilised to solve problems in fractal geometry with particular focus on counting problems and the question of Minkowski measurability. The fractal sets we consider include self-similar and self-conformal sets as well as limit sets of graph-directed systems consisting of similarities and conformal mappings.",
keywords = "Minowski content, Ruelle Perron-Frobenius theory, counting problems in fractal geometry, dependent interarrival times, renewal theorem, symbolic dynamics",
author = "Sabrina Kombrink",
year = "2021",
month = mar,
day = "24",
doi = "10.1007/978-3-030-59649-1_4",
language = "English",
isbn = "9783030596484",
volume = "76",
series = "Progress in Probability",
publisher = "Birkhauser Verlag Basel",
pages = "71--98",
editor = "Uta Freiberg and Ben Hambly and Michael Hinz and Steffen Winter",
booktitle = "Fractal Geometry and Stochastics VI",
address = "Switzerland",
edition = "1",
}