3 papers
math.CO2026
Exterior power sums
Yanping Luo, Ruiyi Yang, Keheng Zhu
We prove that for every fixed and all sufficiently large , any $z_1,\dots,z_n\in\C$ with satisfy . Consequentl…
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…