13 citations · 31 across the 15 of their papers we have counts for
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On Transitivities for Skew Products
Nayan Adhikary, Anima Nagar
The dual concepts of `universality' and `hypercyclicity' are better understood and studied as `topological transitivity'. In this article we consider transitivity properties of ske…
Understanding topological dynamics of hyperbolic dynamical systems via examples
Anima Nagar
Topological dynamics constitutes the study of asymptotic properties of orbits under flows or maps on the Hausdorff phase space. Hyperbolic dynamics is the study of differentiable f…
Some relations in topological dynamics
Joseph Auslander, Anima Nagar
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 directi…
Some Variations of Transitivity for CR-dynamical systems
Nayan Adhikary, Anima Nagar
We consider the topological dynamics of closed relations(CR) by studying one of the oldest dynamical property - `transitivity'. We investigate the two kinds of (closed relation) CR…
Strongly Rigid Flows
Anima Nagar, Manpreet Singh
We consider flows , given by actions , on a compact metric space with a discrete as an acting group. We study a new class of flows - the \textsc{Stron…
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…
Characterization of Quasifactors
Anima Nagar
A flow induces the flow . Quasifactors are minimal subsystems of and hence orbit closures of almost periodic points for . We study quasifactor…
Finiteness in Polygonal Billiards on Hyperbolic Plane
Anima Nagar, Pradeep Singh
\textsc{J. Hadamard} studied the geometric properties of geodesic flows on surfaces of negative curvature, thus initiating "Symbolic Dynamics". In this article, we follow the same…
Revisiting Variations in Topological Transitivity
Anima Nagar
Topological dynamical systems are actions , given as , on a compact, Hausdorff topological space with as an acting group or monoid.…
Rendezvous with Sensitivity
Anima Nagar
Let be a compact metric space and be a self-map. The compact dynamical system is called sensitive or sensitivity depends on initial conditions, if there…
Topological Dynamics of Enveloping Semigroups
Anima Nagar, Manpreet Singh
A compact metric space and a discrete topological acting group give a flow . Robert Ellis had initiated the study of dynamical properties of the flow via the…
Dynamics of the Induced Shift Map
Puneet Sharma, Anima Nagar
In this article, we compare the dynamics of the shift map and its induced counterpart on the hyperspace of the shift space. We show that many of the properties of induced shift map…
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…