Title: Fifteenth Annual Southern California Probability Symposium Date: Monday, December 17, 1984 Host: USC Organizer: Ted Harris Program: 1O:45-11:45 AM Coffee 11:15-12:00 AM Richard Arratia (USC) Critical phenomena for sequence matching 12:00-12:45 AM Ren\'e Carmona (UCI) Existence results in Nelson's stochastic mechanics 12:45-2:15 PM Lunch 2:15-3:00 PM Sandor Cs\"org\"o (Szeged U.) What portion of the sample makes a partial sum asymptotically normal or stable? 3:00-3:45 PM Ruth Williams (UCSD) Reflected Brownian motion in a polygonal region 3:45-4:15 PM Coffee 4:15-5:15 PM Donald Ylvisaker (UCLA) Prediction and maps