The 1999 Loeve Prize: Alain-Sol Sznitman

Professor Sznitman is best known for his work in two areas. His early work on ``propagation of chaos" deals with statistical physics models of interacting particles, where the overall density of particles changes according to some differential equation while individual particles behave randomly and almost independently. Subsequently he worked on random motion amongst traps. Here long-run survival probabilities depend on two effects; one can survive by moving unusually slowly, or by reaching a region with unusually few traps. Studying the interplay between these effects requires intricate analysis. This area was summarized in his 1998 book Brownian motion, obstacles and random media.