By potential theoretic methods involving the Cartan fine topology a recent result by two of the authors is extended as follows: The Riesz charge of the lower envelope of a family of 3 or more &subharmonic functions (no longer supposed continuous) in the plane equals the infunum of the charges of the lower envelopes of all pairs of functions from the family. As a key to this it is shown in two d...

The Dressian and the tropical Grassmannian parameterize abstract realizable linear spaces; but in general, is much larger than Grassmannian. There are natural positive notions of both these spaces -- Dressian, (which we introduced roughly fifteen years ago) so it to ask how two compare. In this paper show that equals Using connection between regular positroidal subdivisions hypersimplex, use ou...