2022/01/01 by Enhui Shi, Hui Xu, Shi, Enhui +3
Mathematics · Biochemistry, Genetics and Molecular Biology · #Mathematical Dynamics and Fractals #Caveolin-1 and cellular processes #Advanced Topology and Set Theory
paper · pdf · doi:10.48550/arxiv.2201.00110
Let X be a compact metric space and let f:X→ X be a homeomorphism on X. We show that if f is both pointwise recurrent and expansive, then the dynamical system (X, f) is topologically conjugate to a subshift of some symbolic system. Moreover, if f is pointwise positively recurrent, then the subshift is semisimple; a counterexample is given to show the necessity of positive recurrence to ensure the semisimilicity.