AMATH 562 A: Advanced Stochastic Processes

Stochastic dynamical systems aimed at students in applied math. Introduces basic concepts in continuous stochastic processes including Brownian motion, stochastic differential equations, Levy processes, Kolmogorov forward and backward equations, and Hamilton-Jacobi-Bellman partial differential equations. Presents theories with applications from physics, biology, and finance. Prerequisite: AMATH 561 or permission of instructor; recommended: undergraduate course in probability and statistics. Offered: W.