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A quantum statistical system with energy dissipation is studied. Its statistics is governed by random complex-valued non-Hermitean Hamiltonians belonging to complex Ginibre ensemble. The eigenenergies are shown to form stable structure. Analogy of Wigner and Dyson with system of electrical charges is drawn.

COMPLEX-VALUED SECOND DIFFERENCE AS A MEASURE OF STABILIZATION OF COMPLEX DISSIPATIVE STATISTICAL SYSTEMS: GIRKO ENSEMBLE