Displaying similar documents to “Counterexamples of Lefschetz hyperplane type results for movable cones”

Tropical probability theory and an application to the entropic cone

Rostislav Matveev, Jacobus W. Portegies (2020)

Kybernetika

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In a series of articles, we have been developing a theory of tropical diagrams of probability spaces, expecting it to be useful for information optimization problems in information theory and artificial intelligence. In this article, we give a summary of our work so far and apply the theory to derive a dimension-reduction statement about the shape of the entropic cone.

H -cones and potential theory

Nicu Boboc, Gheorghe Bucur, A. Cornea (1975)

Annales de l'institut Fourier

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The H -cone is an abstract model for the cone of positive superharmonic functions on a harmonic space or for the cone of excessive functions with respect to a resolvent family, having sufficiently many properties in order to develop a good deal of balayage theory and also to construct a dual concept which is also an H -cone. There are given an integral representation theorem and a representation theorem as an H -cone of functions for which fine topology, thinnes, negligible sets and the...