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Geometric RSK and the Toda lattice

Published 21 Aug 2013 in math.PR, math-ph, math.CO, math.DS, math.MP, and math.RT | (1308.4631v2)

Abstract: We relate a continuous-time version of the geometric RSK correspondence to the Toda lattice, in a way which can be viewed as a semi-classical limit of a recent result by the author which relates the continuous-time geometric RSK mapping, with Brownian motion as input, to the quantum Toda lattice.

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