S. Lang

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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…

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​

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