2015/09/11 by V. Q. Nguyen, Vu-Lan Nguyen, Nguyen, Vu-Lan +2
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Bayesian Methods and Mixture Models #Chemistry and Stereochemistry Studies #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #math-ph #math.CO #math.MP #math.PR
paper · pdf · doi:10.48550/arxiv.1509.03515
44 pages. Proposition 3.4 and Theorem 3.5 are now stated in a more general form and some more minor changes are made (most of them following suggestions by a referee). To appear at IMRN
openalex publication_date 2015/09/11 · arxiv created 2016/05/30 · arxiv updated 2016/05/31 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
We show that the reformulation of the geometric Robinson-Schensted-Knuth (gRSK) correspondence via local moves, introduced in \citeOSZ14 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 N2/3, we show formally that the joint law of the partition functions, scaled by N1/3, converges to the two-point function of the Airy process