Random tilings with the GPU

DOI10.1063/1.5038732zbMath1400.82043arXiv1804.07250OpenAlexW2797848690MaRDI QIDQ4687699

D. Keating, Ananth Sridhar

Publication date: 12 October 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07250

zbMATH Keywords

random tilingssix vertex modeldimersMarkov chain algorithmsgraphics processing

Mathematics Subject Classification ID

Related Items (11)

Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit ⋮ The two-point correlation function in the six-vertex model ⋮ Arctic curves of the 6V model with partial DWBC and double Aztec rectangles ⋮ Arctic curves phenomena for bounded lecture Hall tableaux ⋮ A numerical study of two-point correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit ⋮ Fluctuation of the phase boundary in the six-vertex model with domain wall boundary conditions: a Monte Carlo study ⋮ Unnamed Item ⋮ Finite-size correction to the scaling of free energy in the dimer model on a hexagonal domain ⋮ Arctic boundaries of the ice model on three-bundle domains ⋮ Preface: Introduction to special issue: In memory of Ludwig Faddeev ⋮ Gaussian unitary ensemble in random lozenge tilings

Cites Work

• Unnamed Item
• Unnamed Item
• Stochastic six-vertex model
• Mixing times of lozenge tiling and card shuffling Markov chains
• Asymptotics of random domino tilings of rectangular Aztec diamonds
• Perfect matchings in the triangular lattice
• Lozenge tilings, Glauber dynamics and macroscopic shape
• Integrability of limit shapes of the six vertex model
• The arctic circle boundary and the Airy process
• Numerical study of the 6-vertex model with domain wall boundary conditions.
• Markov Chain Algorithms for Planar Lattice Structures
• Conway's Tiling Groups
• The arctic curve of the domain wall six-vertex model in its antiferroelectric regime
• The density profile of the six vertex model with domain wall boundary conditions
• Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
• Perfect sampling algorithm for Schur processes

This page was built for publication: Random tilings with the GPU