Random fields in J'(R(d+1)) are associated to processes with paths in D([0, 1], J'(R(d))). This embedding provides a way to analyze weak convergence for such processes. The approach is also useful for real valued processes. ...

In traditional works on numerical schemes for solving stochastic differential equations (SDEs), the globally Lipschitz assumption is often assumed to ensure different types of convergence. In practice, this is often too ...

Convergence properties of Shannon Entropy are studied. In the di erential setting, it is known that weak convergence of probability measures (convergence in distribution) is not enough for convergence of the associated ...

Representation formulas for faces and support functions of the values of maximal monotone operators are established in two cases: either the operators are defined on reflexive and locally uniformly convex real Banach spaces ...