4 citations · 6 across the 8 of their papers we have counts for
12 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…
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 …
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…
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…
Reverse Bernstein Inequality on the Circle
Parvaneh Joharinad, Jürgen Jost, Sunhyuk Lim +1
The more then hundred years old Bernstein inequality states that the supremum norm of the derivative of a trigonometric polynomial of fixed degree can be bounded from above by supr…
Arrow Contraction and Expansion in Tropical Diagrams
Rostislav Matveev, Jacobus W. Portegies
Arrow contraction applied to a tropical diagram of probability spaces is a modification of the diagram, replacing one of the morphisms by an isomorphims, while preserving other par…