2 papers
math.AT2026
A novel characterization of structures in smooth regression curves: from a viewpoint of persistent homology
Satish Kumar, Subhra Sankar Dhar
We characterize structures such as monotonicity, convexity, and modality in smooth regression curves using persistent homology. Persistent homology is a key tool in topological dat…
math-ph2025
Geometric Formulation of Combined Conservative Dissipative Mechanics via Contact Hamiltonian Dynamics Symmetries, Reduction, and Variational Integrators
Vinesh Vijayan, Pasupuleti Thejasree, P Satish Kumar +1
We develop a unified geometric framework for mechanical systems that combine conservative and dissipative dynamics by formulating them on contact manifolds. Within this setting, we…