Speaker: V. Ramaswami, AT&T Research

Presentation Title: A Sample Path Approach to Stochastic Fluid Flow Models

Abstract: Recently, in a series of papers Soohan Ahn and I provided a sample path based approach to the analysis of Markov modulated fluid flow models yielding extremely fast, stable and accurate algorithms for the computation of both steady state and transient results in both the finite and infinite buffer cases. The approach based on ideas that parallel the matrix-geoemetric method in the discrete case can be considered as a stochastic discretization of the fluid model. Current research of mine are focused on generalizing these as an approach to stochastic integration and to apply it to the interesting area mathematical finance.