I am interested in ergodic theory and dynamical systems,
particulary, I work on problems in dynamical systems with holes and symbolic dynamics.
Journal Publications and Preprints
- On the escape rate for intermittent maps with holes shrinking around the indifferent fixed point (with Claudio Bonanno) (2026) Arxiv
- Escape Rate for Shifts with Markov Measure (with Nikita Agarwal and Haritha Cheriyath), Journal of the Australian Mathematical Society (2026) Journal Arxiv
- A Laplacian on the full shift space (with Shrihari Sridharan), The Journal of Analysis (2025) Journal Arxiv
- On the Perron root and eigenvectors of a non-negative integer matrix (with Nikita Agarwal and Haritha Cheriyath), Linear Algebra and its Applications (2024) Journal Arxiv
- Weak Formulation of the Laplacian on the Full Shift Space (with Shrihari Sridharan), Advances in Pure and Applied Mathematics (2022) Journal Arxiv
- Dirichlet eigenvalues of the Laplacian on full one-sided shift space (with Shrihari Sridharan),Proceedings-Mathematical Sciences (2022) Journal Arxiv
- Distribution of Typical Orbits for Random Dynamics Generated by Finitely Many Rational Maps (with Shrihari Sridharan and Atma Ram Tiwari), Complex Analysis and Operator Theory (2021) Journal Arxiv