3 papers
math.FA2026
On Certain forms of Transitivities for Linear Operators
Nayan Adhikary, Anima Nagar
In this article we give several characterizations for various transitivity properties for linear operators. We define a general form of `Hypercyclicity Criterion' using a Furstenbe…
math.DS2026
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…
math.DS2025
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…