3 papers
cond-mat.stat-mech2019
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…
math-ph2019
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…
cond-mat.stat-mech2018
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…