In this note, we introduce the concept of a fuzzy filter of a BLalgebra,with respect to a t-norm briefly, T-fuzzy filters, and give some relatedresults. In particular, we prove Representation Theorem in BL-algebras. Thenwe generalize the notion of a fuzzy congruence (in a BL-algebra) was definedby Lianzhen et al. to a new fuzzy congruence, specially with respect to a tnorm.We prove that there i...

In this paper we consider billiards in a square with a barrier. We use Ratner’s theorem to compute the asymptotics for the number of closed orbits.

We briefly describe a recent technique to solve polynomial programming problems, which uses algebraic representation theorems for polynomials, positive on a compact set.

We find Feynman–Kac type representation theorems for generalized diffusions. To do this we need to establish existence, uniqueness and regularity results for equations with measure-valued coefficients.