Geometric RSK and the Toda lattice
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2013
- DOI:
- 10.48550/arXiv.1308.4631
- arXiv:
- arXiv:1308.4631
- Bibcode:
- 2013arXiv1308.4631O
- Keywords:
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- Mathematics - Probability;
- Mathematical Physics;
- Mathematics - Combinatorics;
- Mathematics - Dynamical Systems;
- Mathematics - Representation Theory
- E-Print:
- v2: minor corrections