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math.PR2026
Gaussian limits of lattice Higgs models with complete symmetry breaking
Frederick Rajasekaran, Oren Yakir, Yanxin Zhou
Given any compact connected matrix Lie group and any lattice dimension , we construct a massive Gaussian scaling limit for the -valued lattice Yang-Mills-Higgs theor…
math.PR2025
Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs
Hang Du, Yanxin Zhou
For any integers , we consider the -state ferromagnetic Potts model with an external field on a sequence of expander graphs that converges to the -regular tree $\ma…