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Annals of Probability, ISSN 0091-1798, 2016, Volume 44, Issue 4, pp. 2980 - 3031
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 09/2009, Volume 80, Issue 12
Applying random matrix theory to quantum transport in chaotic cavities, we develop a powerful method for computing the moments of the conductance and... 
QUANTUM TRANSPORT | DISTRIBUTIONS | INTEGRALS | PHYSICS, CONDENSED MATTER | RANDOM-MATRIX THEORY | DOTS | POINT CONTACTS | SCATTERING | HYPERGEOMETRIC-FUNCTIONS
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 07/2013, Volume 46, Issue 26, pp. 1 - 10
The K-matrix, also known as the 'Wigner reaction matrix' in nuclear scattering or the 'impedance matrix' in electromagnetic wave scattering, is given... 
SYSTEMS | CHARACTERISTIC-POLYNOMIALS | PHYSICS, MULTIDISCIPLINARY | CHAOTIC SCATTERING | PHYSICS, MATHEMATICAL | STATISTICS | Matrices (mathematics) | Chaos theory | Mathematical analysis | Electromagnetic waves | Eigenvalues | Blocking | Mathematical models | Density | Invariants
Journal Article
Physical Review Letters, ISSN 0031-9007, 1997, Volume 79, Issue 4, pp. 557 - 560
By using the method of orthogonal polynomials, we analyze the statistical properties of complex eigenvalues of random matrices describing a crossover from... 
GASES | K UI PHYSICS | COMPLEX RANDOM MATRICES | SUPERSYMMETRY | PHYSICS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/1996, Volume 37, Issue 10, pp. 5033 - 5060
Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 01/1991, Volume 62, Issue 1-2, pp. 21 - 33
The thermodynamic equivalence of the large-n limit of the n-vector model in a random external field and the corresponding disordered spherical model is proved.... 
Random spin systems | ferromagnetic order | FERROMAGNETIC ORDER | SPIN DIMENSIONALITY LIMIT | AXIS MODEL | SYSTEMS | RANDOM SPIN SYSTEMS | SPHERICAL MODEL | PHYSICS, MATHEMATICAL
Journal Article
Theoretical and Mathematical Physics, ISSN 0040-5779, 10/1987, Volume 73, Issue 1, pp. 1094 - 1104
Journal Article
Journal of Physics A: Mathematical and General, ISSN 0305-4470, 04/1994, Volume 27, Issue 7, pp. 2527 - 2543
We consider the interband light absorption coefficient (ILAC) for a d-dimensional discrete disordered system, whose Hamiltonian consist of a translation... 
PHYSICS
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 06/2009, Volume 42, Issue 22, pp. 222002 - 222002 (8)
We derive an explicit simple formula for expectations of all Schur functions in the real Ginibre ensemble. It is a positive integer for all entries of the... 
CHAOS | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | MATRICES
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2012, Volume 45, Issue 7, pp. 75203 - 31
A generalization of the Ginibre ensemble of non-Hermitian random square matrices is introduced. The corresponding probability measure is induced by the... 
CIRCULAR LAW | UNITARY | PHYSICS, MULTIDISCIPLINARY | SINGLE RING THEOREM | PHASE-TRANSITION | FORMALISM | PHYSICS, MATHEMATICAL | REAL MATRICES | Functions (mathematics) | Matrices (mathematics) | Mathematical analysis | Eigenvalues | Evolution | Gaussian | Spectral correlation | Matrix methods | Density
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2010, Volume 82, Issue 4, p. 040106
Statistical properties of nonsymmetric real random matrices of size M, obtained as truncations of random orthogonal NXN matrices, are investigated. We derive... 
ENSEMBLE | PHYSICS, FLUIDS & PLASMAS | QUANTUM | RANDOM UNITARY MATRICES | SYSTEMS | PHYSICS, MATHEMATICAL | RESONANCES
Journal Article
Physics Letters A, ISSN 0375-9601, 1997, Volume 226, Issue 1, pp. 46 - 52
We consider an ensemble of large non-Hermitian random matrices of the form Ĥ + i , where Ĥ and  are Hermitian statistically independent random N × N... 
Complex eigenvalues | Disordered systems | Random matrices | UNIVERSALITY | SUPERSYMMETRY | random matrices | STATISTICS | complex eigenvalues | K UI PHYSICS | PHYSICS | disordered systems
Journal Article
Physics Reports, ISSN 0370-1573, 1997, Volume 288, Issue 1, pp. 109 - 126
We discuss the discrete Schrödinger operator H = -Δ + V with surface potential: V as a function of lattice point vanishes outside a surface. In general, the... 
Low-dimensional perturbations | Incommensurate structures | Propagation and localization | Surface excitations | propagation and localization | incommensurate structures | LARGE DISORDER | surface excitations | K UI PHYSICS | PHYSICS | low-dimensional perturbations
Journal Article
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