Some relations in topological dynamics

J Auslander, A Nagar - arXiv preprint arXiv:2406.16775, 2024 - arxiv.org
Relations always play an important role in the study of topological dynamics. Proximal, distal
and almost periodic relations are well studied in literature. We further this direction and …

Characterization of quasifactors

A Nagar - Journal of Fixed Point Theory and Applications, 2022 - Springer
Abstract A flow (X, T) induces the flow (2^ X, T)(2 X, T). Quasifactors are minimal subsystems
of (2^ X, T)(2 X, T) and hence orbit closures of almost periodic points for (2^ X, T)(2 X, T) …

Strongly Rigid Flows

A Nagar, M Singh - Topology and its Applications, 2021 - Elsevier
We consider flows (X, T), given by actions (t, x)→ tx, on a compact metric space X with a
discrete T as an acting group. We study a new class of flows-the Strongly Rigid (SR) flows …

On almost periodicity and minimality for semiflows

J Auslander, A Nagar - … and Dynamical Systems: Proceedings of the …, 2024 - degruyter.com
In topological dynamics, the dynamical behavior sometimes exhibits a sharp contrast when
the action is by semigroups or monoids compared to when the action is by groups. In this …

Topological Dynamics

A Nagar, CRE Raja - Elements of Dynamical Systems: Lecture Notes from …, 2022 - Springer
One of the motivation for such a study is the following fine dining problem [16]: Once upon a
time lobsters were so abundant in New England waters that they were poor man's food. It …