Work

On the topological pressure of axial product on trees

Year: 2025

Type: article

Abstract: This paper investigates the topological pressure of isotropic axial products of Markov subshifts on the [Formula: see text]-tree. We show that the quantity increases with dimension [Formula: see text]. To achieve this, we introduce the pattern distribution vectors and the associated transition matrices and partially transplant the large deviation theory to tree-shifts. Additionally, we apply our main result to a broader class of shift spaces, accompanied by numerical experiments for verification.

Source: Stochastics and Dynamics

DOI: 10.1142/s0219493725500078

Authors: Jung-Chao Ban, Yu-Liang Wu

Institutions: National Taiwan University, National Center for Theoretical Sciences, National Center for Theoretical Sciences, Mathematics Division, National Chengchi University, University of Oulu

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Ministry of Science and Technology, Taiwan

Award: The Large Deviation Principle and Fractal Geometry of the Multiple Systems on Multidimensional Lattices