Transport of nonlinear oscillations along rays that graze a convex obstacle to any order Abstract. When a wave interacts with a convex obstacle, it creates reflected waves, as well as waves in the geometric shadow of the obstacle. This phenomenon … Read more

Long range wave dependencies and cosine sign correlations Abstract. We’ll introduce and discuss a very strange phenomenon which, approximately, says that quantum particles on nice manifolds can exhibit some very strange form of non-locality and can communicate across very large … Read more

A problem for a material surface attached to the boundary of an elastic semi-plane Abstract. A problem for a nano-sized material surface attached to the boundary of an elastic isotropic semi-plane is considered. A normal external traction is applied to … Read more

Incidences and projections: discrete and continuous Abstract. A number of difficult problems in geometric measure theory stem from discrete geometry results, such as Beck’s theorem about the number of lines spanned by a set of points in the plane, and … Read more