Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices

DOI10.5802/aif.3442zbMath1492.82009arXiv1709.09801OpenAlexW4226417590MaRDI QIDQ2152449

Yanyan Li

Publication date: 8 July 2022

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09801

zbMATH Keywords

perfect matchingSchur functionGaussian free fielddimerlimit shape

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Symmetric functions and generalizations (05E05) Structured surfaces and interfaces, coexistent phases (74A50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random matrices (algebraic aspects) (15B52)

Related Items (3)

Asymptotics of pure dimer coverings on rail yard graphs ⋮ The effect of microscopic gap displacement on the correlation of gaps in dimer systems ⋮ Fourier transform on high-dimensional unitary groups with applications to random tilings

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