123 citations · 231 across the 16 of their papers we have counts for
16 papers
Mean-field behavior of nearest-neighbor oriented percolation on the BCC lattice above dimensions
Lung-Chi Chen, Satoshi Handa, Yoshinori Kamijima
In this paper, we consider nearest-neighbor oriented percolation with independent Bernoulli bond-occupation probability on the -dimensional body-centered cubic (BCC) lattice $\m…
Critical two-point function for long-range models with power-law couplings: The marginal case for
Lung-Chi Chen, Akira Sakai
Consider the long-range models on of random walk, self-avoiding walk, percolation and the Ising model, whose translation-invariant 1-step distribution/coupling coeff…
Critical two-point functions for long-range statistical-mechanical models in high dimensions
Lung-Chi Chen, Akira Sakai
We consider long-range self-avoiding walk, percolation and the Ising model on that are defined by power-law decaying pair potentials of the form $D(x)\asymp|x|^{-d-α…
Ice model and eight-vertex model on the two-dimensional Sierpinski gasket
Shu-Chiuan Chang, Lung-Chi Chen, Hsin-Yun Lee
We present the numbers of ice model and eight-vertex model configurations (with Boltzmann factors equal to one), I(n) and E(n) respectively, on the two-dimensional Sierpinski gaske…
A Monotonicity Result for the Range of a Perturbed Random Walk
Lung-Chi Chen, Rongfeng Sun
We consider a discrete time simple symmetric random walk on Z^d, d>=1, where the path of the walk is perturbed by inserting deterministic jumps. We show that for any time n and any…
Asymptotic enumeration of independent sets on the Sierpinski gasket
Shu-Chiuan Chang, Lung-Chi Chen, Weigen Yan
The number of independent sets is equivalent to the partition function of the hard-core lattice gas model with nearest-neighbor exclusion and unit activity. We study the number of…