摘要：We consider the endpoint large deviation for a continuous-time directed polymer in a Lévy-type random environment. When the space dimension is at least three, it is known that the so-called weak disorder phase exists, where the quenched and annealed free energies coincide. We prove that the rate function agrees with that of the underlying random walk near the origin in the whole interior of the weak disorder phase.
关键词：60F10; 60J15; 60K37; Directed polymer; large deviation; random environment; weak disorder
