On the Domino Shuffle and Matrix Refactorizations
نویسندگان
چکیده
This paper is motivated by computing correlations for domino tilings of the Aztec diamond. It inspired two three distinct methods that have recently been used in simplest case a doubly periodic weighting, two-periodic One methods, powered shuffle, involves inverting Kasteleyn matrix giving through local statistics formula. Another driven Wiener-Hopf factorization two-by-two valued functions, Eynard-Mehta theorem. For arbitrary weights can be replaced an LU- and UL-decomposition, based on refactorization, product transition matrices. shows that, weightings diamond, evolution face under shuffle refactorization same. In particular, these dynamics to find inverse LGV Theorem.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2023
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-023-04676-y