S. Lang

collaborators

4 papers

math.PR2026

Phase transition in the antiferromagnetic Ising model with external field

Jianping Jiang, Sike Lang

Consider the nearest-neighbor antiferromagnetic Ising model on $Z^{d}$ , $d \geq 2$ , at inverse temperature $β$ and in a uniform external field $h$ . Let $β_{c} (d)$ be the critical…

math.PR2026

Coexistence of infinite clusters for percolation and Ising model on $Z^{d}$

Jianping Jiang, Sike Lang

For independent bond percolation on $Z^{d}$ with parameter $p$ , let $p_{c}^{b} (d)$ be the critical probability. We prove that for each $d \geq 9$ , there is $ε_{d} > 0$ such that for…

math.PR2026

The free state for the Potts model on Cayley trees is either extremal or glassy

Jianping Jiang, Sike Lang

For the Potts model on the Cayley tree $T^{d}$ with branching factor $d \geq 2$ , we consider the free state which is obtained as the limiting Gibbs measure with free boundary…

math.PR2025

Percolation of both signs in a triangular-type 3D Ising model above $T_{c}$

Jianping Jiang, Sike Lang

Let $T$ be the two-dimensional triangular lattice, and $Z$ the one-dimensional integer lattice. Let $T \times Z$ denote the Cartesian product gra…

Phase transition in the antiferromagnetic Ising model with external field

Coexistence of infinite clusters for percolation and Ising model on Zd

The free state for the Potts model on Cayley trees is either extremal or glassy

Percolation of both signs in a triangular-type 3D Ising model above Tc​

Coexistence of infinite clusters for percolation and Ising model on $Z^{d}$

Percolation of both signs in a triangular-type 3D Ising model above $T_{c}$