4 papers
Shapes and Norms of Random Pairs
Rostislav Matveev
The shape function of a pair of finite-valued random variables was introduced in arXiv:2606.23849, where it was used to derive a spectral bound on the entanglement of the pair, a q…
Spectral Conditions for the Ingleton Inequality
Rostislav Matveev, Andrei Romashchenko
The Ingleton inequality is a classical linear information inequality that holds for representable matroids but fails to be universally valid for entropic vectors. Understanding the…
Beyond Mutual Information: Extension Profiles and Shape Functions of Random Variable Pairs
Rostislav Matveev, Andrei Romashchenko
We study the extension profile of a pair of jointly distributed finite-valued random variables , defined as the set of all triples of numbers …
Structural Properties of Entropic Vectors and Stability of the Ingleton Inequality
Rostislav Matveev, Andrei Romashchenko
We study constrained versions of the Ingleton inequality in the entropic setting and quantify its stability under small violations of conditional independence. Although the classic…