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    Ground state spin 0+^+ dominance of many-body systems with random interactions and related topics

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    In this talk we shall show our recent results in understanding the spinparity^{\rm parity} 0+^+ ground state (0 g.s.) dominance of many-body systems. We propose a simple approach to predict the spin II g.s. probabilities which does not require the diagonalization of a Hamiltonian with random interactions. Some findings related to the 0 g.s. dominance will also be discussed.Comment: 11 pages and 4 figure