37 citations · 126 across the 11 of their papers we have counts for
11 papers
Critical speeding-up in dynamical percolation
Eren Metin Elci, Timothy M. Garoni
We study the autocorrelation time of the size of the cluster at the origin in discrete-time dynamical percolation. We focus on binary trees and high-dimensional tori, and show in b…
Sweeny dynamics for the random-cluster model with small
Zirui Peng, Eren Metin Elçi, Youjin Deng +1
The Sweeny algorithm for the -state random-cluster model in two dimensions is shown to exhibit a rich mixture of critical dynamical scaling behaviors. As decreases, the so-c…
Bayesian Survival Analysis Using the rstanarm R Package
Samuel L. Brilleman, Eren M. Elci, Jacqueline Buros Novik +1
Survival data is encountered in a range of disciplines, most notably health and medical research. Although Bayesian approaches to the analysis of survival data can provide a number…
Lifted Worm Algorithm for the Ising Model
Eren Metin Elçi, Jens Grimm, Lijie Ding +3
We design an irreversible worm algorithm for the zero-field ferromagnetic Ising model by using the lifting technique. We study the dynamic critical behavior of an energy estimator…
On the coupling time of the heat-bath process for the Fortuin-Kasteleyn random-cluster model
Andrea Collevecchio, Eren Metin Elci, Timothy M. Garoni +1
We consider the coupling from the past implementation of the random-cluster heat-bath process, and study its random running time, or coupling time. We focus on hypercubic lattices…
Geometric explanation of anomalous finite-size scaling in high dimensions
Jens Grimm, Eren Metin Elçi, Zongzheng Zhou +2
We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Is…
Bridges in the random-cluster model
Eren Metin Elçi, Martin Weigel, Nikolaos G. Fytas
The random-cluster model, a correlated bond percolation model, unifies a range of important models of statistical mechanics in one description, including independent bond percolati…
Fragmentation of fractal random structures
Eren Metin Elçi, Martin Weigel, Nikolaos G. Fytas
We analyze the fragmentation behavior of random clusters on the lattice under a process where bonds between neighboring sites are successively broken. Modeling such structures by c…
Dynamic connectivity algorithms for Monte Carlo simulations of the random-cluster model
Eren Metin Elçi, Martin Weigel
We review Sweeny's algorithm for Monte Carlo simulations of the random cluster model. Straightforward implementations suffer from the problem of computational critical slowing down…
Corner contribution to cluster numbers in the Potts model
István A. Kovács, Eren Metin Elçi, Martin Weigel +1
For the two-dimensional Q-state Potts model at criticality, we consider Fortuin-Kasteleyn and spin clusters and study the average number N_Gamma of clusters that intersect a given…
Efficient simulation of the random-cluster model
Eren Metin Elçi, Martin Weigel
The simulation of spin models close to critical points of continuous phase transitions is heavily impeded by the occurrence of critical slowing down. A number of cluster algorithms…