Let X be a compact metric space, and let f :X→X be transitive with X infinite. We show that
each asymptotic class (or the stable set W s (x) for each x∈X) is of first category and so is the …

In [BGH] the authors show that for a given topological dynamical system (X,T) and an open
coveru there is an invariant measure μ such that infh μ (T,ℙ)≥h top (T,U) where infimum is …

Answering an open question affirmatively it is shown that every ergodic invariant measure
of a mean equicontinuous (ie mean-L-stable) system has discrete spectrum. Dichotomy …

The local properties of entropy for a countable discrete amenable group action are studied.
For such an action, a local variational principle for a given finite open cover is established, …

… In order to gain a better understanding of the topological version of a K-system, Huang
and Ye [59] introduced the notion of entropy n-tuples (n ≥ 2) in both the topological and …

As a critical component in nanoimprint, PDMS mold is usually made by cast molding, and it
is important to make high quality PDMS molds with fine, dense and deep features. A number …

For an invariant measure µ in a topological dynamics, notions of µ-sensitivity, µ-complexity
and µ-equicontinuity are introduced and investigated. It turns out that µ-sensitivity defined …

In this paper, the notion of measure complexity is introduced for a topological dynamical
system and it is shown that Sarnak's Möbius disjointness conjecture holds for any system for …

MicroRNAs (miRNAs) are small noncoding RNAs that are involved in different biological
processes by suppressing target gene expression. miRNA microarray analysis revealed a …

This study adopted the method of quantitative proteomics to analyze the adsorbed proteins
in oil-in-water emulsions stabilized by pea protein isolate (PPI). Adsorbed proteins were …