A signed measure on rough paths associated to a PDE of high order: results and conjectures
A signed measure on rough paths associated to a PDE of high order: results and conjectures
Following old ideas of V. Yu. Krylov we consider the possibility that high order differential operators of dissipative type and constant coefficients might be associated, at least formally, with signed measures on path space in the same way that Wiener measure is associated with the Laplacian. There are fundamental difficulties …