Bowen's formula and the difference between random iterated function systems and random recursive constructions
Year: 2025
Type: preprint
Abstract: In this paper, we show that the difference in independence structures between random iterated function systems and random recursive constructions is reflected in the validity of Bowen's formula. More precisely, we construct random iterated function systems for which Bowen's formula fails, whereas Bowen's formula always holds for random recursive constructions. Our construction demonstrates that the difference in independence structures between the two random models has genuine consequences for dimension theory.
Source: arXiv (Cornell University)
Author: Arima, Yuya
Institution: Nagoya University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: 二次写像族とリャプノフ非正則集合
OpenAlex ID: W4416017116
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