Stochastic Soliton Lattices

Abstract

We introduce a new concept, Stochastic Soliton Lattice, as a random process generated by a finite-gap potential of the Shroedinger operator. We study the basic properties of this stochastic process and consider its KdV evolution

11 pages. To be published in Proceedings of the International Conference `Solitons, Geometry and Topology: on the Crossroads', Moscow, 1998