On the randomized Horn problem and the surface tension of hives

Aalok Gangopadhyay, Hariharan Narayanan

Given two nonincreasing $n$-tuples of real numbers ${\lambda }_n$, ${\mu }_n$, the Horn problem asks for a description of all nonincreasing $n$-tuples of real numbers ${\nu }_n$ such that there exist…