100 citations · 151 across the 17 of their papers we have counts for
17 papers
Topological entropy, mean dimension, and weakly equivalent flows
Lei Jin, Yixiao Qiao
In this paper, we mainly revisit a nice theory for topological entropy of weakly equivalent flows, which was originally investigated by Ohno in 1980. We will develop a new approach…
Relative topological entropy and relative mean dimension of induced factors
Kairan Liu, Yixiao Qiao
We study the relation of relative topological entropy and relative mean dimension between a factor map and its induced factor map for amenable group actions. On the one hand, we pr…
Infinite topological entropy, positive mean dimension, and factors of subshifts
Lei Jin, Yixiao Qiao
We study dynamical systems with the property that all the nontrivial factors have infinite topological entropy (or, positive mean dimension). We establish an ``if and only if'' con…
Deterministic Spin-Orbit Torque Switching of Mn3Sn with the Interplay between Spin Polarization and Kagome Plane
Zhengde Xu, Xue Zhang, Yixiao Qiao +3
Previous studies have demonstrated spin-orbit torque (SOT) switching of Mn3Sn where the spin polarization lies in the kagome plane (configuration I). However, the critical current…
Sofic approximation sequences and sofic mean dimension
Lei Jin, Yixiao Qiao
The main purpose of this paper is to strengthen our understanding of sofic mean dimension of two typical classes of sofic group actions. First, we study finite group actions. We pr…
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…
Directional mean dimension and continuum-wise expansive -actions
Sebastián Donoso, Lei Jin, Alejandro Maass +1
We study directional mean dimension of -actions (where is a positive integer). On the one hand, we show that there is a -action whose directional me…
Sofic mean dimension of typical actions and a comparison theorem
Lei Jin, Yixiao Qiao
We refine two results in the paper entitled "Sofic mean dimension" by Hanfeng Li, improving two inequalities with two equalities, respectively, for sofic mean dimension of typical…
Mean dimension of product spaces: a fundamental formula
Lei Jin, Yixiao Qiao
Mean dimension is a topological invariant of dynamical systems, which originates with Mikhail Gromov in 1999 and which was studied with deep applications around 2000 by Elon Linden…
The Hilbert cube contains a minimal subshift of full mean dimension
Lei Jin, Yixiao Qiao
We construct a minimal dynamical system of mean dimension equal to , which can be embedded in the shift action on the Hilbert cube . This clarifies a seemingly…
Mean dimension and a non-embeddable example for amenable group actions
Lei Jin, Kyewon Koh Park, Yixiao Qiao
For every infinite (countable discrete) amenable group and every positive integer we construct a minimal -action of mean dimension which cannot be embedded in the…
Topological entropy of nonautonomous dynamical systems
Kairan Liu, Yixiao Qiao, Leiye Xu
Let be the space of Borel probability measures on a compact metric space endowed with the weak-topology. In this paper, we prove that if the topological…
Zero-dimensional isomorphic dynamical models
Tomasz Downarowicz, Lei Jin, Wolfgang Lusky +1
By an \emph{assignment} we mean a mapping from a Choquet simplex to probability measure-preserving systems, obeying some natural restrictions. We prove that if is an aperio…
Application of signal analysis to the embedding problem of -actions
Yonatan Gutman, Yixiao Qiao, Masaki Tsukamoto
We study the problem of embedding arbitrary -actions into the shift action on the infinite dimensional cube . We prove that if a…
The embedding problem in topological dynamics and Takens' theorem
Yonatan Gutman, Yixiao Qiao, Gabor Szabo
We prove that every -action of mean dimension less than admitting a factor of Rokhlin dimension not greater than…
Mean Li-Yorke chaos along some good sequences
Jian Li, Yixiao Qiao
If a topological dynamical system has positive topological entropy, then it is multivariant mean Li-Yorke chaotic along a sequence of positive intege…
Topological complexity, minimality and systems of order two on torus
Yixiao Qiao
The dynamical system on T^2 which is a group extension over an irrational rotation on T^1 is investigated. The criterion when the extension is minimal, a system of order 2 and when…