Probability, Stochastic Processes and Financial Mathematics

Probability theory, a well-established branch of mathematics, provides the mathematical framework for the study of random phenomena arising in nature and many aspects of modern life. The powerful methods and ideas developed in probability theory naturally interact with other research areas ranging from number theory to algebraic geometry within mathematics and from statistical physics to quantitative psychology outside mathematics.

The interests of faculty in the NC State Probability, Stochastic Processes and Financial Mathematics group include spectral analysis on random matrices, random signal processing, stochastic control theory, financial risk analysis, interacting particle systems, stochastic analysis and nonlinear filtering theory.