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Documents Particle-hole duality in Richardson solution of pairing Hamiltonian W. V. Pogosov, (1) N.L. Dukhov.....

Particle-hole duality in Richardson solution of pairing Hamiltonian W. V. Pogosov, (1) N.L. Dukhov All-Russia Research Institute of Automatics, Moscow; (2) Institute of Theoretical…

Documents Horizon in Hawking radiation and in Random Matrix Theory

Horizon in Hawking radiation and in Random Matrix Theory Vladimir Kravtsov Abdus Salam ICTP,Trieste, Italy Collaboration: Fabio Franchini, ICTP July 6, 2009, Euler Institute,…

Documents Lecture 4. Proof of Ihara’s Theorem, Edge Zetas, Quantum Chaos

Lecture 4. Proof of Ihara’s Theorem, Edge Zetas, Quantum Chaos Ihara’s Theorem. A=adjacency matrix, Q +I = diagonal matrix of degrees, r=rank fundamental group. Ihara…