Work

Mean Hausdorff dimension of some infinite dimensional fractals for amenable group actions

Year: 2025

Type: article

Abstract: For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homogeneous systems in the infinite-dimensional torus, and the infinite dimensional-carpets.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0258258

Authors: Xianqiang Li, Xiaofang Luo

Institution: Sun Yat-sen University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G1443926617