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math-ph2026
Boundary Free Energies, Quenched Mixing, and Gibbs-State Selection in Disordered Ising Models
Mauris Chueng, Hexiang Wang, Keheng Zhu
We study boundary free energies and half-space responses in nearest-neighbor disordered Ising models. First, we prove the existence of fixed-depth tangential pressure and identify…
math-ph2026
Boundary Free Energies in Disordered Ising Models
Hexiang Wang, Keheng Zhu, Mauris Chueng
The boundary correction to the free energy of a disordered Ising model depends on the boundary condition, the normalization, and the finite-volume sequence. We give a one-dimension…
math-ph2026
Subextensive Random Boundary Perturbations in the Short-Range Edwards--Anderson Model
Hexiang Wang, Keheng Zhu, Mauris Chueng
We consider the nearest-neighbor Edwards--Anderson Ising model on cubic boxes with random perturbations supported at the boundary. We prove that any perturbation admitting an energ…