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Glassy Random Matrix Models
, 2008
"... This paper discusses Random Matrix Models which exhibit the unusual phenomena of having multiple solutions at the same point in phase space. These matrix models have gaps in their spectrum or density of eigenvalues. The free energy and certain correlation functions of these models show differences f ..."
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Cited by 2 (0 self)
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This paper discusses Random Matrix Models which exhibit the unusual phenomena of having multiple solutions at the same point in phase space. These matrix models have gaps in their spectrum or density of eigenvalues. The free energy and certain correlation functions of these models show differences
QCD Spectra and Random Matrix Models
, 1996
"... .We summarize some recent results on the application of macroscopic spectral properties of random matrix models (RMM) to the QCD spectra. A comparison to existing lattice simulation is presented both for staggered and Wilson fermions for high but finite temperature. We consider two type of mixing be ..."
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.We summarize some recent results on the application of macroscopic spectral properties of random matrix models (RMM) to the QCD spectra. A comparison to existing lattice simulation is presented both for staggered and Wilson fermions for high but finite temperature. We consider two type of mixing
Lectures on random matrix models. The RiemannHilbert approach
, 2008
"... This is a review of the RiemannHilbert approach to the large N asymptotics in random matrix models and its applications. We discuss the following topics: random matrix models and orthogonal polynomials, the RiemannHilbert approach to the large N asymptotics of orthogonal polynomials and its appli ..."
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Cited by 13 (0 self)
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This is a review of the RiemannHilbert approach to the large N asymptotics in random matrix models and its applications. We discuss the following topics: random matrix models and orthogonal polynomials, the RiemannHilbert approach to the large N asymptotics of orthogonal polynomials and its
QCD Spectra and Random Matrix Models
, 1997
"... Abstract.We summarize some recent results on the application of macroscopic spectral properties of random matrix models (RMM) to the QCD spectra. A comparison to existing lattice simulation is presented both for staggered and Wilson fermions for high but finite temperature. We consider two type of m ..."
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Abstract.We summarize some recent results on the application of macroscopic spectral properties of random matrix models (RMM) to the QCD spectra. A comparison to existing lattice simulation is presented both for staggered and Wilson fermions for high but finite temperature. We consider two type
Conformal field theory techniques in random matrix models
, 1999
"... In these notes we explain how the CFT description of random matrix models can be used to perform actual calculations. Our basic example is the hermitian matrix model, reformulated as a conformal invariant theory of free fermions. We give an explicit operator construction of the corresponding collect ..."
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Cited by 51 (3 self)
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In these notes we explain how the CFT description of random matrix models can be used to perform actual calculations. Our basic example is the hermitian matrix model, reformulated as a conformal invariant theory of free fermions. We give an explicit operator construction of the corresponding
Double scaling limit in the random matrix model: the RiemannHilbert approach
"... Abstract. We derive the double scaling limit of eigenvalue correlations in the random matrix model at critical points and we relate it to a nonlinear hierarchy of ordinary differential equations. 1. ..."
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Cited by 81 (10 self)
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Abstract. We derive the double scaling limit of eigenvalue correlations in the random matrix model at critical points and we relate it to a nonlinear hierarchy of ordinary differential equations. 1.
A random matrix model of relaxation
 J. Phys. A37
"... We consider a two level system, S2, coupled to a general n level system, Sn, via a random matrix. We derive an integral representation for the mean reduced density matrix ρ(t) of S2 in the limit n → ∞, and we identify a model of Sn which possesses some of the properties expected for macroscopic ther ..."
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Cited by 1 (1 self)
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We consider a two level system, S2, coupled to a general n level system, Sn, via a random matrix. We derive an integral representation for the mean reduced density matrix ρ(t) of S2 in the limit n → ∞, and we identify a model of Sn which possesses some of the properties expected for macroscopic
ON THE VALIDITY OF RANDOM MATRIX MODELS IN PROBABILISTIC STRUCTURAL DYNAMICS
"... ABSTRACT. An accurate and efficient uncertainty quantification of the dynamic response of complex structural systems is crucial for their design and analysis. Among the many approaches proposed, the random matrix approach has received significant attention over the past decade. In this paper two new ..."
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Cited by 1 (0 self)
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new random matrix models, namely (a) generalized scalar Wishart distribution and (b) generalized diagonal Wishart distribution have been proposed. The central aims behind the proposition of the new models are to (a) improve the accuracy of the statistical predictions, (b) simplify the analytical
Renormalization Group For Random Matrix Models
"... this article was written. This work is supported in part by GrantinAid for Scientific Research and (N.S., No.05640334), GrantinAid for Scientific Research for Priority Areas (N.S., No.05230019) from the Ministry of Education, Science and Culture. References ..."
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this article was written. This work is supported in part by GrantinAid for Scientific Research and (N.S., No.05640334), GrantinAid for Scientific Research for Priority Areas (N.S., No.05230019) from the Ministry of Education, Science and Culture. References
Results 1  10
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