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math.PR2026
Disc counting statistics of the real Ginibre ensemble
Sung-Soo Byun, Yong-Woo Lee
We study the disc counting statistics of the real Ginibre ensemble, whose spectrum consists of real and non-real eigenvalues, the latter occurring in complex-conjugate pairs. As th…
math-ph2026
Confinement transitions in half-space constrained Riesz gases
Sung-Soo Byun, Yong-Woo Lee, Eui Yoo
We study a Riesz gas with interaction parameter in an arbitrary spatial dimension , confined to a half-space by a hard wall. We prove that the equilibrium measur…