Critical exponents and dimension for generalised limit sets
Metric Geometry
2024-06-28 v1 Dynamical Systems
Abstract
There is a beautiful and well-studied relationship between the Poincare exponent and the fractal dimensions of the limit set of a Kleinian group. Motivated by this, given an arbitrary discrete subset of the unit ball we define a critical exponent and investigate how it relates to the fractal dimensions of the associated generalised limit set.
Cite
@article{arxiv.2406.19252,
title = {Critical exponents and dimension for generalised limit sets},
author = {Tianyi Feng and Jonathan M. Fraser},
journal= {arXiv preprint arXiv:2406.19252},
year = {2024}
}
Comments
16 pages