Mutual winding angles of particles in Brownian stochastic flows with zero top Lyapunov exponent

Abstract

The investigation of the geometric properties of particles moving in stochastic flows leads to the study of their mutual winding angles. The same problem for independent Brownian motions was solved in [10]. We generalize these results to the case of isotropic Brownian stochastic flows with top Lyapunov exponent equal to zero.