http://dbpedia.org/data/Circular_law.atom2026-07-05T01:02:24.882141Zhttp://dbpedia.org/resource/Circular_law2026-07-05T01:02:24.882141ZFor and as above, with probability one, Moreover, let , then converges in distribution to the Gumbel law, i.e., the probability measure on with cumulative distribution function . Furthermore, for any , almost surely for all large . The theorem still holds for quaternionic non-Hermitian matrix ensembles, with replaced by .Circular law Edge statistics of the Ginibre ensemble