ar X iv : m at h - ph / 0 51 10 23 v 2 1 2 Ja n 20 06 Open Subsystems of Conservative Systems

ar X iv : m at h - ph / 0 50 90 44 v 2 1 1 Ja n 20 06 RANDOM POLYNOMIALS , RANDOM MATRICES AND L - FUNCTIONS

We show that the Circular Orthogonal Ensemble of random matrices arises naturally from a family of random polynomials. This sheds light on the appearance of random matrix statistics in the zeros of the Riemann zeta-function.

ar X iv : m at h - ph / 0 51 10 23 v 1 6 N ov 2 00 5 Open Subsystems of Conservative Systems

The subject under study is an open subsystem of a larger linear and conservative system and the way in which it is coupled to the rest of system. Examples are a model of crystalline solid as a lattice of coupled oscillators with a finite piece constituting the subsystem, and an open system such as the Helmholtz resonator as a subsystem of a larger conservative oscillatory system. Taking the vie...

ar X iv : m at h / 06 01 74 3 v 1 [ m at h . SP ] 3 0 Ja n 20 06 DETERMINANTS OF ZEROTH ORDER OPERATORS

ar X iv : m at h - ph / 0 50 10 33 v 1 1 2 Ja n 20 05 Indefinite metric

ar X iv : 1 51 0 . 06 89 2 v 2 [ he p - ph ] 2 9 Ja n 20 16 Axion - like particle searches with sub - THz photons

L.M. Capparelli, G. Cavoto, J. Ferretti, F. Giazotto, A.D. Polosa, 5 and P. Spagnolo Department of Physics and Astronomy, University of California Los Angeles, 475 Portola Plaza, Los Angeles, CA 90095, USA INFN Sezione di Roma, P.le Aldo Moro 5, I-00185 Roma, Italy Dipartimento di Fisica and INFN, ‘Sapienza’ Università di Roma P.le Aldo Moro 5, I-00185 Roma, Italy NEST, Istituto Nanoscienze-CNR...