Macdonald processes

A Borodin, I Corwin - Probability Theory and Related Fields, 2014 - Springer
Macdonald processes are probability measures on sequences of partitions defined in terms
of nonnegative specializations of the Macdonald symmetric functions and two Macdonald …

Free energy fluctuations for directed polymers in random media in 1+ 1 dimension

A Borodin, I Corwin, P Ferrari - Communications on Pure and …, 2014 - Wiley Online Library
We consider two models for directed polymers in space‐time independent random media
(the O'Connell‐Yor semidiscrete directed polymer and the continuum directed random …