112 citations · 123 across the 2 of their papers we have counts for
2 papers
math.PR2012★ 112 cited
Log-Gamma polymer free energy fluctuations via a Fredholm determinant identity
Alexei Borodin, Ivan Corwin, Daniel Remenik
We prove that under n^{1/3} scaling, the limiting distribution as n goes to infinity of the free energy of Seppalainen's log-Gamma discrete directed polymer is GUE Tracy-Widom. The…
math-ph2002★ 11 cited
Z-measures on partitions and their scaling limits
Alexei Borodin, Grigori Olshanski
We study certain probability measures on partitions of n=1,2,..., originated in representation theory, and demonstrate their connections with random matrix theory and multivariate…