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math-ph2024★ 1 cited
Analyticity for locally stable hard-core gases via recursion
Qidong He
In their recent works [Comm. Math. Phys. 399:1 (2023)] and [arXiv:2109.01094], Michelen and Perkins proved that the pressure of a system of particles with repulsive pair interactio…
math-ph2024★ 3 cited
High-fugacity expansion and crystallization in non-sliding hard-core lattice particle models without a tiling constraint
Qidong He, Ian Jauslin
In this paper, we prove the existence of a crystallization transition for a family of hard-core particle models on periodic graphs in arbitrary dimensions. We establish a criterion…