Counting Problem for Some Random Conformal Iterated Function Systems
Dynamical Systems
2024-10-01 v1
Abstract
This paper studies the counting problem in random dynamical systems. We noticed that the nature of counting in the random setting is completely different than that of the deterministic systems in the sense that non-exponential growth is constructed on a set of full measure. The recurrent behavior of random walks plays a major role in counting in the random setting.
Cite
@article{arxiv.2409.19263,
title = {Counting Problem for Some Random Conformal Iterated Function Systems},
author = {Hamid Naderiyan},
journal= {arXiv preprint arXiv:2409.19263},
year = {2024}
}