Random Tilings with the GPU

Abstract

We present GPU accelerated implementations of Markov chain algorithms to sample random tilings, dimers, and the six-vertex model.

References in corpus (8)

• Mixing times of lozenge tiling and card shuffling Markov chains
• Stochastic six-vertex model
• Directed-loop Monte Carlo simulations of vertex models
• The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime
• The density profile of the six vertex model with domain wall boundary conditions
• Perfect sampling algorithm for Schur processes
• The 6-vertex model with fixed boundary conditions
• Lozenge tilings, Glauber dynamics and macroscopic shape

Cited by in corpus (4)

• Slow Mixing of Glauber Dynamics for the Six-Vertex Model in the Ordered Phases
• Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit
• Arctic curves of the $6$V model with partial DWBC and double Aztec rectangles
• Finite-size scaling of free energy in the dimer model on a hexagonal domain