The Large Deviation Case

The Levinson conditions mean, roughly speaking, that the trajectories of the degenerate process (or of the dynamical system, in the case of one equation) leave the domain G with probability 1, and that some regularity conditions on the boundary are fulfilled. In this case the degenerate problem (∈ = 0) with boundary conditions preserved on the regular (for the degenerate equation) part of the geometric boundary of the domain, has a unique solution. The solution of the perturbed problem in the Levinson case converges to the unique solution of the degenerate problem as ∈ ↓ 0. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.