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1. Full Text Density of states for Gaussian unitary ensemble, Gaussian orthogonal ensemble, and interpolating ensembles through supersymmetric approach
by Shamis, Mira
Journal of mathematical physics, ISSN 0022-2488, 11/2013, Volume 54, Issue 11, p. 113505
Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Supersymmetry | Density of states | Saddle points | Crystals | Law | Integrals | Mathematical analysis | Derivation | Gaussian | Formalism | CORRECTIONS | INTEGRALS | SUPERSYMMETRY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
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2. Full Text Crossover ensembles of random matrices and skew-orthogonal polynomials
by Kumar, Santosh and Pandey, Akhilesh
Annals of physics, ISSN 0003-4916, 2011, Volume 326, Issue 8, pp. 1877 - 1915
Quantum conductance | Spectral correlations | Random matices | Brownian motion ensembles | Skew-orthogonal polynomials | MIMO communications | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Polynomials | Matrix | Quantum theory | Eigen values | Broken symmetry | Correlation | Mathematical analysis | Eigenvalues | Gaussian | Spectra | Density | Crossovers | RANDOMNESS | CORRELATION FUNCTIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EXACT SOLUTIONS | POINT KERNELS | BROWNIAN MOVEMENT | CORRELATIONS | FUNCTIONS | KERNELS | DENSITY | POLYNOMIALS | EIGENVALUES | MATHEMATICAL SOLUTIONS | PROBABILITY | SYMMETRY BREAKING | MATRICES | EQUILIBRIUM | PHYSICAL PROPERTIES | SPECTRA
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3. Full Text Mixing of orthogonal and skew-orthogonal polynomials and its relation to Wilson RMT
by Kieburg, Mario
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 4/2012, Volume 45, Issue 20, pp. 205203 - 45
random matrix theory | point correlation function | orthogonal and skew-orthogonal polynomials | intermediate random matrix ensemble | Wilson random matrix ensemble | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | General | Exact sciences and technology | Interpolation | Mathematical analysis | Mathematical models | Gaussian | Polynomials | Representations | Matrix theory | Recursion | Factorization
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4. Full Text Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations
by Forrester, Peter J
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 5/2013, Volume 46, Issue 24, pp. 245203 - 10
Ginibre ensemble | random matrices | skew orthogonal polynomials | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Kernels | Quaternions | Integrals | Matrices (mathematics) | Mathematical analysis | Eigenvalues | Gaussian | Polynomials | Probability density functions
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5. Full Text Orthogonal AMP
by Junjie Ma and Li Ping
IEEE access, ISSN 2169-3536, 2017, Volume 5, pp. 2020 - 2033
Algorithm design and analysis | Orthogonal matrices | state evolution | Estimation | IID Gaussian | Sparse matrices | unitarily-invariant | partial orthogonal matrix | approximate message passing (AMP) | Message passing | Gaussian processes | replica method | Discrete cosine transforms | Compressed sensing | Computer Science, Information Systems | Engineering | Technology | Computer Science | Engineering, Electrical & Electronic | Telecommunications | Science & Technology | Algorithms | Divergence | Mathematical analysis | Signal reconstruction | Iterative methods | Matrix methods
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6. Full Text Linear statistics of matrix ensembles in classical background
by Min, Chao and Chen, Yang
Mathematical methods in the applied sciences, ISSN 0170-4214, 09/2016, Volume 39, Issue 13, pp. 3758 - 3790
random matrices | asymptotics | linear spectral statistics | orthogonal polynomials | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Statistics | Random variables | Operators (mathematics) | Eigenvalues | Eigenvectors | Matrix methods | Probability density functions | Real variables | Asymptotic properties | Mathematical analysis | Scalars | Mathematical models | Gaussian | Mathematics - Classical Analysis and ODEs
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7. Full Text On the Probability That All Eigenvalues of Gaussian, Wishart, and Double Wishart Random Matrices Lie Within an Interval
by Chiani, Marco
IEEE transactions on information theory, ISSN 0018-9448, 07/2017, Volume 63, Issue 7, pp. 4521 - 4531
Symmetric matrices | Limiting | Random matrix theory | Gaussian orthogonal ensemble | Covariance matrices | Physics | Wishart matrices | Jacobian matrices | eigenvalues distribution | Eigenvalues and eigenfunctions | Tracy-Widom distribution | Jacobi ensemble | MANOVA | Compressed sensing | principal component analysis | Eigenvalues distribution | Principal component analysis | Computer Science, Information Systems | Engineering, Electrical & Electronic | Engineering | Technology | Computer Science | Science & Technology | Usage | Random matrices | Analysis of covariance | Symmetric functions | Eigenvalues | Eigenfunctions | Matrices | Research | Gaussian distribution | Mathematical analysis | Matrix methods | Eigen values
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8. Full Text Towards quantum simulation of Sachdev-Ye-Kitaev model
by Cao, Ye and Zhou, Yi-Neng and Shi, Ting-Ting and Zhang, Wei
Science bulletin (Beijing), ISSN 2095-9273, 07/2020, Volume 65, Issue 14, pp. 1170 - 1176
Ground-state entanglement | Sachdev-Ye-Kitaev model | Gaussian orthogonal ensemble | Out-of-time-order correlation | Science & Technology - Other Topics | Multidisciplinary Sciences | Science & Technology
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9. Full Text Transition between Hermitian and non-Hermitian Gaussian ensembles
by Bohigas, O and Pato, M P
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 2/2013, Volume 46, Issue 11, pp. 115001 - 11
random matrices | non-Hermitian operators | orthogonal polynomials | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Kernels | Planes | Matrices (mathematics) | Mathematical analysis | Gaussian | Polynomials | Hermite polynomials | Matrix methods
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10. Full Text Asymptotic results in solvable two-charge models
by Borgo, Martina Dal and Hovhannisyan, Emma and Rouault, Alain
Electronic communications in probability, ISSN 1083-589X, 01/2018, Volume 23
Berry-esseen estimate | Random matrices | Central limit theorem | Large deviation principle | Circular orthogonal ensemble | Gaussian orthogonal ensemble | Moderate deviations | Local limit theorem | Two-charge ensembles | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology
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11. Full Text Deformation effect on spectral statistics of nuclei
by Sabri, H and Jalili Majarshin, A
Nuclear physics. A, ISSN 0375-9474, 02/2018, Volume 970, pp. 29 - 43
Maximum Likelihood Estimation (MLE) | Deformed nuclei | Quadrupole, octupole, hexadecapole and hexacontatetrapole deformations, Nilsson perturbed-spheroid parameterization | Random matrix theory (RMT) | Spectral statistics | Gaussian Orthogonal Ensemble (GOE) | Physical Sciences | Physics, Nuclear | Physics | Science & Technology
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12. Full Text Asymptotic expansion of Gaussian chaos via probabilistic approach
by Hashorva, Enkelejd and Korshunov, Dmitry and Piterbarg, Vladimir I
Extremes (Boston), ISSN 1386-1999, 9/2015, Volume 18, Issue 3, pp. 315 - 347
Wiener chaos | Max-domain of attraction | Civil Engineering | Gaussian orthogonal ensemble | Polynomial chaos | Statistics, general | MSC 60E99 | Determinant of a random matrix | MSC 60J57 | Statistics | MSC 60E05 | Multidimensional normal distribution | Hydrogeology | Statistics for Business/Economics/Mathematical Finance/Insurance | Diameter of random Gaussian clouds | Quality Control, Reliability, Safety and Risk | Gaussian chaos | Subexponential distribution | Environmental Management | Mathematics, Interdisciplinary Applications | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Gaussian processes | Studies | Normal distribution | Chaos theory | Mathematical analysis | Asymptotic methods | Asymptotic expansions | Asymptotic properties | Probability theory | Gaussian | Probabilistic methods | Density
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13. Full Text THE MIDDLE-SCALE ASYMPTOTICS OF WISHART MATRICES
by Chetelat, Didier and Wells, Martin T
The Annals of statistics, ISSN 0090-5364, 10/2019, Volume 47, Issue 5, pp. 2639 - 2670
Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Fourier transforms | Matrix | Mathematical analysis | Random variables | Phase transitions | Two phase | Matrix methods | Symmetry
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14. Full Text Rate of convergence to the semicircle law for the Gaussian orthogonal ensemble
by Kholopov, A.A and Tikhomirov, A.N and Timushev, D.A
Theory of probability and its applications, ISSN 0040-585X, 2008, Volume 52, Issue 1, pp. 171 - 177
Random matrix | Semicircle law | Gaussian ensemble | Hermite function | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology
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15.