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• W2259295146 abstract "We show that the reformulation of the geometric Robinson-Schensted-Knuth (gRSK) correspondence via local moves, introduced in cite{OSZ14} can be extended to cases where the input matrix is replaced by more general polygonal, Young-diagram-like, arrays of the form $polygon$. We also show that a rearrangement of the sequence of the local moves gives rise to a geometric version of the polynuclear growth model (PNG). These reformulations are used to obtain integral formulae for the Laplace transform of the joint distribution of the point-to-point partition functions of the log-gamma polymer at different space-time points. In the case of two points at equal time $N$ and space at distance of order $N^{2/3}$, we show formally that the joint law of the partition functions, scaled by $N^{1/3}$, converges to the two-point function of the Airy process" @default.
• W2259295146 created "2016-06-24" @default.
• W2259295146 creator A5018172452 @default.
• W2259295146 creator A5073674814 @default.
• W2259295146 date "2015-09-11" @default.
• W2259295146 modified "2023-09-27" @default.
• W2259295146 title "Variants of geometric RSK, geometric PNG and the multipoint distribution of the log-gamma polymer" @default.
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• W2259295146 hasPublicationYear "2015" @default.
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