115 citations · 155 across the 6 of their papers we have counts for
6 papers · 1 filter
Sequence entropy tuples and mean sensitive tuples
Jie Li, Chunlin Liu, Siming Tu +1
Using the idea of local entropy theory, we characterize the sequence entropy tuple via mean forms of the sensitive tuple in both topological and measure-theoretical senses. For the…
Mean dimension of Bernstein spaces and universal real flows
Lei Jin, Yixiao Qiao, Siming Tu
We study the action of translation on the spaces of uniformly bounded continuous functions on the real line which are uniformly band-limited in a compact interval. We prove that tw…
A new universal real flow of the Hilbert-cubical type
Lei Jin, Siming Tu
We provide a new universal real flow of the Hilbert-cubical type. We prove that any real flow can be equivariantly embedded in the translation on , where…
Devaney chaos plus shadowing implies distributional chaos
Jian Li, Jie Li, Siming Tu
We explore connections among the regional proximal relation, the asymptotic relation and the distal relation for a topological dynamical system with the shadowing property, and sho…
Mean equicontinuity and mean sensitivity
Jian Li, Siming Tu, Xiangdong Ye
Answering an open question affirmatively it is shown that every ergodic invariant measure of a mean equicontinuous (i.e. mean-L-stable) system has discrete spectrum. Dichotomy resu…
On proximality with Banach density one
Jian Li, Siming Tu
Let be a topological dynamical system. A pair of points is called Banach proximal if for any , the set has Banach…