Large deviations for doubly indexed stochastic processes with applications to statistical mechanics

摘要: LARGE DEVIATIONS OF DOUBLY INDEXED STOCHASTIC PROCESSES WITH APPLICATIONS TO STATISTICAL MECHANICS MAY 1998 CHRISTOPHER L. BOUCHER B.A., TUFTS UNIVERSITY M.A., BOSTON COLLEGE Ph.D., MASSACHUSETTS AMHERST Directed by: Professor Richard S. Ellis The theory of large deviations studies situations in which certain probabilities involving a given stochastic process decay to zero exponentially fast. One the aims this dissertation is extend setting processes under consideration are indexed by two parameters, rather than usual one parameter. introduction second index often allows study more easily deviation asymptotics with spatial component. Such doubly processes, interesting their own right, especially so because applications class statistical mechanical models fluid turbulence.