q-randomized Robinson-Schensted-Knuth correspondences and random polymers

Konstantin Matveev; Leonid Petrov

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arXiv · 1504.00666

q-randomized Robinson-Schensted-Knuth correspondences and random polymers

Konstantin Matveev·Leonid Petrov

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Abstract

We introduce and study q-randomized Robinson-Schensted-Knuth (RSK) correspondences which interpolate between the classical (q=0) and geometric (q->1) RSK correspondences (the latter ones are sometimes also called tropical). For 0 1, two of our four dynamics on interlacing arrays turn into the geometric RSK correspondences associated with log-Gamma or strict-weak directed random polymers.

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Konstantin Matveev, Leonid Petrov. 2015-04-02. q-randomized Robinson-Schensted-Knuth correspondences and random polymers. https://arxiv.org/abs/1504.00666

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