3 papers
math.SG2014
A symplectic proof of the Horn inequalities
Anton Alekseev, Masha Podkopaeva, Andras Szenes
In this paper, we give a symplectic proof of the Horn inequalities on eigenvalues of a sum of two Hermitian matrices with given spectra. Our method is a combination of tropical cal…
math.CO2012
The Horn problem and planar networks
Anton Alekseev, Masha Podkopaeva, Andras Szenes
The problem of determining the set of possible eigenvalues of 3 Hermitian matrices that sum up to zero is known as the Horn problem. The answer is a polyhedral cone, which, followi…
math.QA2010
On rational Drinfeld associators
Anton Alekseev, Masha Podkopaeva, Pavol Severa
We prove an estimate on denominators of rational Drinfeld associators. To obtain this result, we prove the corresponding estimate for the p-adic associators stable under the action…