14 citations · 34 across the 7 of their papers we have counts for
7 papers
Pressure for the space of average pseudo-orbits with block sub-additive potentials
Fangzhou Cai, Jie Li
In this paper, we introduce the concept of block sub-additive potentials and study pressures on spaces of average pseudo-orbits for -actions generated by continuous s…
Local weighted topological pressure
Fangzhou Cai
In [D. Feng, W. Huang, Variational principle for weighted topological pressure. J. Math. Pures Appl. (2016)], the authors studied weighted topological pressure and established a va…
On the properties of the mean orbital pseudo-metric
Fangzhou Cai, Dominik Kwietniak, Jian Li +1
Given a topological dynamical system , we study properties of the mean orbital pseudo-metric defined by \[ \bar E(x,y)= \limsup_{n\to\infty } \min_{σ\in S_n}\frac{1…
On Feldman-Katok metric and entropy formulae
Fangzhou Cai, Jie Li
In this paper, we study the Feldman-Katok metric. We give entropy formulas by replacing Bowen metric with Feldman-Katok metric. Some relative topics are also discussed.
Topological characteristic factors and independence along arithmetic progressions
Fangzhou Cai, Song Shao
Let be a factor map of topological dynamics and . is said to be a -step topological characteristic factor if there exists…
Measure-theoretic equicontinuity and rigidity
Fangzhou Cai
Let be a topological dynamical system and be a invariant measure, we show that is rigid if and only if there exists some subsequence of $\math…
Topological characteristic factors along cubes of minimal systems
Fangzhou Cai, Song Shao
In this paper we study the topological characteristic factors along cubes of minimal systems. It is shown that up to proximal extensions the pro-nilfactors are the topological char…