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math-ph2015★ 42 cited
Directed random polymers via nested contour integrals
Alexei Borodin, Alexey Bufetov, Ivan Corwin
We study the partition function of two versions of the continuum directed polymer in 1+1 dimension. In the full-space version, the polymer starts at the origin and is free to move…
math-ph2015★ 2 cited
A Classical Limit of Noumi's -Integral Operator
Alexei Borodin, Ivan Corwin, Daniel Remenik
We demonstrate how a known Whittaker function integral identity arises from the and limit of the Macdonald polynomial eigenrelation satisfied by Noumi's -integral…