Probabilistic methods can be applied very successfully to a number of asymptotic problems for second-order linear and non-linear partial differential equations.
Kiyosi Itô's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller theory o
This graduate text presents the elegant and profound theory of continuous parameter Markov processes and many of its applications. The authors focus on developi
This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic program
Stochastic Differential Equations and Applications, Volume 1 covers the development of the basic theory of stochastic differential equation systems. This volume