13 citations · 18 across the 7 of their papers we have counts for
8 papers · 1 filter
On Almost periodicity and minimality for semiflows
Joseph Auslander, Anima Nagar
In topological dynamics, the dynamical behavior sometimes has a sharp contrast when the action is by semigroups or monoids to when the action is by groups. In this article we bring…
On the virtual automorphism group of a minimal flow
Joseph Auslander, Eli Glasner
We introduce the notions "virtual automorphism group" of a minimal flow and "semi-regular flow" and investigate the relationship between the virtual and actual group of automorphis…
On transitivity dynamics of topological semiflows
Joseph Auslander, Xiongping Dai
Let , be a topological semiflow on a topological space with phase semigroup . We introduce and discuss in this paper various transit…
Minimality, distality and equicontinuity for semigroup actions on compact Hausdorff spaces
Joseph Auslander, Xiongping Dai
Let with phase map , denoted , be a \textit{semiflow} on a compact Hausdorff space with phase semigroup . If each…
Variations on the Concept of Topological Transitivity
Ethan Akin, Joseph Auslander, Anima Nagar
We describe various strengthenings of the concept of topological transitivity. Especially when one departs from the family of invertible systems, a number of interesting properties…
Dynamics of Induced Systems
Ethan Akin, Joseph Auslander, Anima Nagar
In this paper, we study the dynamical properties of actions on the space of compact subsets of the phase space. More precisely, if is a metric space, let denote the space…
Reflections on equicontinuity
Joseph Auslander, Gernot Greschonig, Anima Nagar
We study different conditions which turn out to be equivalent to equicontinuity for a transitive compact Hausdorff flow with a general group action. Among them are a notion of "reg…
Compactifications of Dynamical Systems
Ethan Akin, Joseph Auslander
While compactness is an essential assumption for many results in dynamical systems theory, for many applications the state space is only locally compact. Here we provide a general…