Parametric motion of complex eigenvalues and statistical theory of spectra
(by Marek Kus)
Statistical mechanics of the parametric motion
of eigenvalues for Hermitian and unitary matrices
was used to justify correspondence between
classical chaos and statistical properties of
spectra for chaotic systems. Although, in general,
such an approach does not ultimately prove such
a correspondence it is interesting to extend it to
complex spectra which is achieved by identifying
the underlying geometric aspects of the problem.