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math-ph2026
Branching Gaps, Coexistence, and Boundary Influence for the Ising Model on Spherically Symmetric Trees
Farrukh Mukhamedov, Otabek Khakimov
In this paper, we study the ferromagnetic nearest-neighbor Ising model on rooted spherically symmetric trees with one or \(q\) children per vertex, according to a prescribed sequen…
math-ph2026
Quasi-Product States and Factor Types for the One-Dimensional Hard-Core Model
Farrukh Mukhamedov, Yuri Suhov
We study the von Neumann algebra generated by a quasi-product state associated with the one-dimensional hard-core lattice gas. If \(κ>0\) denotes the activity (fugacity), the trans…