Complex-valued second difference as a measure of stabilization of complex dissipative statistical systems: Girko ensemble
Abstract
Description
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.
6 pages; "Space-time chaos: Characterization, control and synchronization; Proceedings of the International Interdisciplinary School, Pamplona, Spain, June 19-23, 2000"; S. Boccaletti, J. Burguete, W. Gonzalez-Vinas, D. L. Valladares, Eds.; World Scientific Publishers, Singapore, 45-52 (2001)
6 pages; "Space-time chaos: Characterization, control and synchronization; Proceedings of the International Interdisciplinary School, Pamplona, Spain, June 19-23, 2000"; S. Boccaletti, J. Burguete, W. Gonzalez-Vinas, D. L. Valladares, Eds.; World Scientific Publishers, Singapore, 45-52 (2001)