Eric Nordenstam ; Benjamin Young - Correlations for the Novak process

dmtcs:3070 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3070
Correlations for the Novak processArticle

Authors: Eric Nordenstam 1; Benjamin Young 2

  • 1 Fakultät für Mathematik [Wien]
  • 2 Department of Mathematics [Sweden]

We study random lozenge tilings of a certain shape in the plane called the Novak half-hexagon, and compute the correlation functions for this process. This model was introduced by Nordenstam and Young (2011) and has many intriguing similarities with a more well-studied model, domino tilings of the Aztec diamond. The most difficult step in the present paper is to compute the inverse of the matrix whose (i,j)-entry is the binomial coefficient $C(A, B_j-i)$ for indeterminate variables $A$ and $B_1, \dots , B_n.$

https://doi.org/10.46298/dmtcs.3070
Source: HAL:hal-01283097v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: Eynard-Mehta theorem, experimental mathematics and inverse matrices.,Tilings, non-intersecting lattice paths,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Klassische Kombinatorik und Anwendungen; Funder: Austrian Science Fund (FWF); Code: Z 130

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