Geometric RSK and the Toda lattice

Neil O’Connell

doi:10.1215/ijm/1415023516

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Home > Journals > Illinois J. Math. > Volume 57 > Issue 3 > Article

Fall 2013 Geometric RSK and the Toda lattice

Neil O’Connell

Illinois J. Math. 57(3): 883-918 (Fall 2013). DOI: 10.1215/ijm/1415023516

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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.