Tree pressure for hyperbolic and non-exceptional upper semi-continuous potentials

2015/02/03 by Yiwei Zhang, Zhang, Yiwei
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS

paper · pdf · doi:10.48550/arxiv.1502.00840

This is a technical note and not intended for publication. arXiv admin note: text overlap with arXiv:1210.6952 by other authors

openalex publication_date 2015/02/03 · arxiv created 2015/10/04 · arxiv updated 2015/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we investigate the tree pressure for multi-modal interval maps with a certain class of hyperbolic and non-exceptional upper semi-continuous functions. In particular, we obtain a generalized version of Corollary 2.2 in the paper \citeLRL14 by Li and Rivera-Letelier. This property will be used to prove the existence of a conformal measure for the geometric potential in the negative spectrum.

Citations

• Equilibrium states of interval maps for hyperbolic potentials

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