112 citations · 246 across the 3 of their papers we have counts for
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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.PR2012★ 67 cited
Local behavior and hitting probabilities of the Airy1 process
Jeremy Quastel, Daniel Remenik
We obtain a formula for the -dimensional distributions of the Airy process in terms of a Fredholm determinant on $L^2(\rr)$, as opposed to the standard formula which involve…
math.PR2011★ 67 cited
Continuum statistics of the Airy2 process
Ivan Corwin, Jeremy Quastel, Daniel Remenik
We develop an exact determinantal formula for the probability that the Airy process is bounded by a function on a finite interval. As an application, we provide a direct pr…