4 papers
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…
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…
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.…
Stochastic Quantization of Laser Propagation Models
Sivaguru S. Sritharan, Saba Mudaliar
This paper identifies certain interesting mathematical problems of stochastic quantization type in the modeling of Laser propagation through turbulent media. In some of the typical…