In this paper, for $ r\in\mathbb {N} $ with $ r\geq 2$ we consider several stronger versions of
$ r $-sensitivity and measure-theoretical $ r $-sensitivities by analyzing subsets of non …

In this paper, we consider measure-theoretical restricted sensitivity and topological restricted
sensitivities by restricting the first sensitive time. For a given topological dynamical system …

Let $(X, T) $ be a topological dynamical system, and $\mu $ be a $ T $-invariant Borel
probability measure on $ X $. Let $\mathcal {F} $ be a family of subsets of $\mathbb {Z} _+ …

The weak mixing property for finite measure-preserving transformations has several
equivalent characterizations. In infinite measure, many of them turn out to be different. We …

In this paper, we consider relativization of measure-theoretical-restricted sensitivity. For a
given topological dynamical system, we define conditional measure-theoretical-restricted …

This paper is devoted to the investigation of fiber measure-theoretical restricted sensitivity
and fiber topological restricted sensitivity by restricting the first sensitive time of random …

This paper studies the notion of W-measurable sensitivity in the context of semigroup
actions. W-measurable sensitivity is a measurable generalization of sensitive dependence …