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math.PR2026
Brown measure convergence for the spectrum of polynomials in Ginibre matrices
Yi Han
Fix a multivariate polynomial in non-commuting variables of arbitrary degree, and consider independent complex Ginibre matrices $X_1^N,\cdots,X_n…
math.PR2026
Glauber dynamics for random field Ising models on bounded degree graphs and MLSI
Yi Han
We study the ferromagnetic random field Ising model (RFIM) on a graph having maximal degree , where the external field at each vertex is an i.i.d. random variable. Whe…