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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
An irreversible local Markov chain that preserves the six vertex model on a torus
Alexei Borodin, Alexey Bufetov
We construct an irreversible local Markov dynamics on configurations of up-right paths on a discrete two-dimensional torus, that preserves the Gibbs measures for the six vertex mod…