This IMA Volume in Mathematics and its Applications PROBABILITY AND PARTIAL DIFFERENTIAL EQUATIONS IN MODERN APPLIED MATHEMATICS contains a selection of articles presented at 2003 IMA Summer Program with the same title. We would like to thank Jinqiao Duan (Department of Applied Mathe matics, Illinois Institute of Technology) and Edward C. Waymire (Depart ment of Mathematics, Oregon State University) for their excellent work as organizers of the two-weeksummer workshop and for editing the volume. We also take this opportunity to thank the National Science Founda tion for their support of the...