3 papers
cond-mat.stat-mech2026
Exact joint eigenvalue densities of non-Hermitian random matrices are Calogero scattering states
Zhenyu Xiao, Ze Chen, Yifei Liu +1
Determining exact joint eigenvalue densities is central to random matrix theory. We solve this long-standing problem for non-Hermitian matrices with transposition symmetry (complex…
cond-mat.stat-mech2026
Duality between the level statistics of Hermitian and non-Hermitian random matrices
Ze Chen, Zhenyu Xiao, Yifei Liu +1
Random matrix theory describes complex quantum systems statistically, with symmetry as its organizing principle. We uncover an exact duality between the level statistics of Hermiti…
math.NT2026
Bloch-regulator Principal Parts of Cyclotomic Iwasawa Pseudomeasures
Honghuai Fang, Zekun Chen
Let be an odd prime and let be a finite unramified extension. From a finite presentation by roots of unity of order prime to , we construct a localized Iwas…