3 papers
math.AP2023
The qualitative behavior at a vortex point for the Chern-Simon-Higgs equation
Jiayu Li, Lei Liu
In this paper, we study the qualitative behavior at a vortex blow-up point for Chern-Simon-Higgs equation. Roughly speaking, we will establish an energy identity at a each such poi…
math.DS2014
Topological pressure dimension for almost additive potentials
Lei Liu, Huajun Gong, Xiaoyao Zhou
This paper is devoted to the study of the topological pressure dimension for almost additive sequences, which is an extension of topological entropy dimension. We investigate funda…
math.DS2014
Preimage entropy dimension of topological dynamical systems
Lei Liu, Xiaomin Zhou, Xiaoyao Zhou
We propose a new definition of preimage entropy dimension for continuous maps on compact metric spaces, investigate fundamental properties of the preimage entropy dimension, and co…