3 papers
math.AP2025
Filtering of Stochastic Nonlinear Wave Equations
Sivaguru S. Sritharan, Saba Mudaliar
In this paper we will develop linear and nonlinear filtering methods for a large class of nonlinear wave equations that arise in applications such as quantum dynamics and laser gen…
math.AP2024
Stochastic Analysis and White Noise Calculus of Nonlinear Wave Equations with Application to Laser Propagation and Generation
Sivaguru S. Sritharan, Saba Mudaliar
In this paper we study a large class of nonlinear stochastic wave equations that arise in laser generation models and models for propagation in random media in a unified mathematic…
math.PR2023
Nonlinear Filtering of Classical and Quantum Spin Systems
Sivaguru S. Sritharan, Saba Mudaliar
In this paper we consider classical and quantum spin systems on discrete lattices and in Euclidean spaces, modeled by infinite dimensional stochastic diffusions in Hilbert spaces.…