32 citations · 107 across the 7 of their papers we have counts for
7 papers
Unwrapped two-point functions on high-dimensional tori
Youjin Deng, Timothy M. Garoni, Jens Grimm +1
We study unwrapped two-point functions for the Ising model, the self-avoiding walk and a random-length loop-erased random walk on high-dimensional lattices with periodic boundary c…
Two-point functions of random-length random walk on high-dimensional boxes
Youjin Deng, Timothy M. Garoni, Jens Grimm +1
We study the two-point functions of a general class of random-length random walks on finite boxes in $\ZZ^d$ with , and provide precise asymptotics for their behaviour. We s…
Complete graph and Gaussian fixed point asymptotics in the five-dimensional Fortuin-Kasteleyn Ising model with periodic boundaries
Sheng Fang, Jens Grimm, Zongzheng Zhou +1
We present an extensive Markov-chain Monte Carlo study of the finite-size scaling behavior of the Fortuin-Kasteleyn Ising model on five-dimensional hypercubic lattices with periodi…
The length of self-avoiding walks on the complete graph
Youjin Deng, Timothy M Garoni, Jens Grimm +2
We study the variable-length ensemble of self-avoiding walks on the complete graph. We obtain the leading order asymptotics of the mean and variance of the walk length, as the numb…
Random-length Random Walks and Finite-size scaling in high dimensions
Zongzheng Zhou, Jens Grimm, Sheng Fang +2
We address a long-standing debate regarding the finite-size scaling of the Ising model in high dimensions, by introducing a random-length random walk model, which we then study rig…
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…
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…