New critical exponents for percolation and the random-cluster model (2009)
Deng, Youjin, Zhang, Wei, Garoni, Timothy M., Sokal, Alan D., Sportiello, Andrea
We introduce several infinite families of new critical exponents for the random-cluster model, and give heuristic scaling arguments determining all but one of these exponents as a function of q in...
A worm algorithm for the fully-packed loop model (2008)
Zhang, Wei, Garoni, Timothy M., Deng, Youjin
We present a Markov-chain Monte Carlo algorithm of worm type that correctly simulates the fully-packed loop model on the honeycomb lattice, and we prove that it is ergodic and has uniform stationary...
Prudent walks and polygons (2008)
Dethridge, John C., Garoni, Timothy M., Guttmann, Anthony J., Jensen, Iwan
We have produced extended series for two-dimensional prudent polygons, based on a transfer matrix algorithm of complexity O$(n^5),$ for a series of length $n.$ We have extended the definition to...
Dynamic critical behavior of the Chayes-Machta-Swendsen-Wang algorithm (2007)
Deng, Youjin, Garoni, Timothy M., Machta, Jonathan, Ossola, Giovanni, Polin, Marco, Sokal, Alan D.
We study the dynamic critical behavior of the Chayes-Machta dynamics for the Fortuin-Kasteleyn random-cluster model, which generalizes the Swendsen-Wang dynamics for the q-state Potts model to...
Dynamic critical behavior of the worm algorithm for the Ising model (2007)
Deng, Youjin, Garoni, Timothy M., Sokal, Alan D.
We study the dynamic critical behavior of the worm algorithm for the two- and three-dimensional Ising models, by Monte Carlo simulation. The autocorrelation functions exhibit an unusual...
Critical speeding-up in a local dynamics for the random-cluster model (2007)
Deng, Youjin, Garoni, Timothy M., Sokal, Alan D.
We study the dynamic critical behavior of the local bond-update (Sweeny) dynamics for the Fortuin-Kasteleyn random-cluster model in dimensions d=2,3, by Monte Carlo simulation. We show that, for a...
Deng, Youjin, Garoni, Timothy M., Sokal, Alan D.
We present Monte Carlo simulations of the spanning-forest model (q \to 0 limit of the ferromagnetic Potts model) in spatial dimensions d=3,4,5. We show that, in contrast to the two-dimensional case,...
Cluster simulations of loop models on two-dimensional lattices (2006)
Deng, Youjin, Garoni, Timothy M., Guo, Wenan, Blote, Henk W. J., Sokal, Alan D.
We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n \ge 1. We show that our algorithm has little or no...