1997, Translations of mathematical monographs, ISBN 9780821845776, Volume 155, xiii, 354

Book

1990, Mathematics and its applications. Soviet Series., ISBN 0792305396, Volume MASS 53., xviii, 279

Book

Linear Algebra and Its Applications, ISSN 0024-3795, 01/2019, Volume 561, pp. 24 - 40

In this article, the weighted version of a probability density function is considered as a mapping of the original distribution. Generally, the properties of...

Eigenvalue | Zonal polynomial | Random matrices | Form-invariance | Rotation invariance | Wishart distribution | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | Organic farming | Matrix | Probability | Eigenvalues | Mathematics | Mapping | Graphical representations | Probability density functions | Eigen values

Eigenvalue | Zonal polynomial | Random matrices | Form-invariance | Rotation invariance | Wishart distribution | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | Organic farming | Matrix | Probability | Eigenvalues | Mathematics | Mapping | Graphical representations | Probability density functions | Eigen values

Journal Article

IEEE Signal Processing Letters, ISSN 1070-9908, 09/2018, Volume 25, Issue 9, pp. 1393 - 1397

Vertex-frequency analysis of graph signals is a challenging topic for research and applications. Counterparts of the short-time Fourier transform, the wavelet...

Time-frequency analysis | graph-signal processing | vertex-frequency analysis | Interference | time–frequency analysis | Eigenvalues and eigenfunctions | Matrix decomposition | Kernel | Spectrogram | Energy distributions | time-frequency analysis | ALGORITHM | GRAPHS | ENGINEERING, ELECTRICAL & ELECTRONIC | Wavelet transforms | Fourier transformation | Fourier transforms | Graphical representations | Signal analysis

Time-frequency analysis | graph-signal processing | vertex-frequency analysis | Interference | time–frequency analysis | Eigenvalues and eigenfunctions | Matrix decomposition | Kernel | Spectrogram | Energy distributions | time-frequency analysis | ALGORITHM | GRAPHS | ENGINEERING, ELECTRICAL & ELECTRONIC | Wavelet transforms | Fourier transformation | Fourier transforms | Graphical representations | Signal analysis

Journal Article

2011, Mathematical surveys and monographs, ISBN 9780821852859, Volume 171, xiv, 632

Book

The Annals of Probability, ISSN 0091-1798, 9/2013, Volume 41, Issue 5, pp. 3081 - 3111

We study the minimal sample size N = N(n) that suffices to estimate the covariance matrix of an n-dimensional distribution by the sample covariance matrix in...

Spectral theory | Covariance | Eigenvalues | Dyadics | Mathematical moments | Matrices | Mathematical vectors | Random variables | Covariance matrices | Product distribution | Random matrices | High-dimensional distributions | Log-concave distributions | Stieltjes transform | EIGENVALUE | MATRIX | high-dimensional distributions | random matrices | CONVEX-BODIES | log-concave distributions | STATISTICS & PROBABILITY

Spectral theory | Covariance | Eigenvalues | Dyadics | Mathematical moments | Matrices | Mathematical vectors | Random variables | Covariance matrices | Product distribution | Random matrices | High-dimensional distributions | Log-concave distributions | Stieltjes transform | EIGENVALUE | MATRIX | high-dimensional distributions | random matrices | CONVEX-BODIES | log-concave distributions | STATISTICS & PROBABILITY

Journal Article

1986, ISBN 9783764317553, Volume 16., 262

Book

Journal of Physics Condensed Matter, ISSN 0953-8984, 09/2018, Volume 30, Issue 40, p. 405601

We consider some aspects of a standard model employed in studies of many-body localization: interacting spinless fermions with quenched disorder, for non-zero...

eigenvalue distributions | Fock-space lattice | many-body localization | LOCALIZATION | PHYSICS, CONDENSED MATTER | ENERGY-FLOW | SYSTEMS

eigenvalue distributions | Fock-space lattice | many-body localization | LOCALIZATION | PHYSICS, CONDENSED MATTER | ENERGY-FLOW | SYSTEMS

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 1/2019, Volume 365, Issue 2, pp. 515 - 567

We study Fredholm determinants of the Painlevé II and Painlevé XXXIV kernels. In certain critical unitary random matrix ensembles, these determinants describe...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | HANKEL DETERMINANT | UNIVERSALITY | SPACING DISTRIBUTIONS | RESPECT | DOUBLE SCALING LIMIT | STRONG ASYMPTOTICS | CRITICAL EDGE BEHAVIOR | ORTHOGONAL POLYNOMIALS | PHYSICS, MATHEMATICAL | RIEMANN-HILBERT APPROACH | GAUSSIAN WEIGHT

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | HANKEL DETERMINANT | UNIVERSALITY | SPACING DISTRIBUTIONS | RESPECT | DOUBLE SCALING LIMIT | STRONG ASYMPTOTICS | CRITICAL EDGE BEHAVIOR | ORTHOGONAL POLYNOMIALS | PHYSICS, MATHEMATICAL | RIEMANN-HILBERT APPROACH | GAUSSIAN WEIGHT

Journal Article

International Mathematics Research Notices, ISSN 1073-7928, 10/2018, Volume 2018, Issue 20, pp. 6254 - 6289

Abstract Let $p>2$, $B\geq 1$, $N\geq n$ and let $X$ be a centered $n$-dimensional random vector with the identity covariance matrix such that...

MATHEMATICS | LIMIT | LARGEST EIGENVALUE | SMALLEST SINGULAR-VALUE

MATHEMATICS | LIMIT | LARGEST EIGENVALUE | SMALLEST SINGULAR-VALUE

Journal Article

Journal of Multivariate Analysis, ISSN 0047-259X, 08/2014, Volume 129, pp. 69 - 81

We derive efficient recursive formulas giving the exact distribution of the largest eigenvalue for finite dimensional real Wishart matrices and for the...

Gaussian Orthogonal Ensemble | Random matrix theory | Tracy–Widom distribution | Largest eigenvalue | Characteristic roots | Wishart matrices | Tracy-Widom distribution | PERFORMANCE ANALYSIS | UNIVERSALITY | SPACING DISTRIBUTIONS | STATISTICS & PROBABILITY | MIMO-MRC

Gaussian Orthogonal Ensemble | Random matrix theory | Tracy–Widom distribution | Largest eigenvalue | Characteristic roots | Wishart matrices | Tracy-Widom distribution | PERFORMANCE ANALYSIS | UNIVERSALITY | SPACING DISTRIBUTIONS | STATISTICS & PROBABILITY | MIMO-MRC

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 01/2015, Volume 30, Issue 1, p. 1450197

The phenomenon of emergent fuzzy geometry and noncommutative gauge theory from Yang–Mills matrix models is briefly reviewed. In particular, the eigenvalue...

fussy sphere | Yang-Mills phase | matrix model | commuting phase | Noncommutative geometry | eigenvalues distributions | emergent geometry | COLORINGS | STRINGS | FIELDS | PHYSICS, NUCLEAR | GAUGE-THEORY | BOUND-STATES | FUZZY SPHERE | GEOMETRY | PHYSICS, PARTICLES & FIELDS

fussy sphere | Yang-Mills phase | matrix model | commuting phase | Noncommutative geometry | eigenvalues distributions | emergent geometry | COLORINGS | STRINGS | FIELDS | PHYSICS, NUCLEAR | GAUGE-THEORY | BOUND-STATES | FUZZY SPHERE | GEOMETRY | PHYSICS, PARTICLES & FIELDS

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 08/2011, Volume 84, Issue 2

The transmission of quantum information between different parts of a quantum computer is of fundamental importance. Spin chains have been proposed as quantum...

DYNAMICS | OPTICS | MESOSCOPIC SYSTEMS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DEFECTS | DISTRIBUTION | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EIGENSTATES | MATERIALS SCIENCE | QUANTUM STATES | COUPLING | EIGENVALUES | QUANTUM INFORMATION | TRANSMISSION | QUANTUM COMPUTERS | PERTURBATION THEORY

DYNAMICS | OPTICS | MESOSCOPIC SYSTEMS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DEFECTS | DISTRIBUTION | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | EIGENSTATES | MATERIALS SCIENCE | QUANTUM STATES | COUPLING | EIGENVALUES | QUANTUM INFORMATION | TRANSMISSION | QUANTUM COMPUTERS | PERTURBATION THEORY

Journal Article

Journal of Theoretical Probability, ISSN 0894-9840, 3/2019, Volume 32, Issue 1, pp. 353 - 394

Assume a finite set of complex random variables form a determinantal point process; we obtain a theorem on the limit of the empirical distribution of these...

Primary 15B52 | 60G55 | Eigenvalue | Probability Theory and Stochastic Processes | Mathematics | Empirical distribution | Statistics, general | Determinantal point process | 62H10 | Non-symmetric random matrix | Secondary 60F99 | MATRICES | STATISTICS & PROBABILITY | ENTRIES

Primary 15B52 | 60G55 | Eigenvalue | Probability Theory and Stochastic Processes | Mathematics | Empirical distribution | Statistics, general | Determinantal point process | 62H10 | Non-symmetric random matrix | Secondary 60F99 | MATRICES | STATISTICS & PROBABILITY | ENTRIES

Journal Article

Biometrics, ISSN 0006-341X, 03/2017, Volume 73, Issue 1, pp. 63 - 71

Summary It is traditionally assumed that the random effects in mixed models follow a multivariate normal distribution, making likelihood‐based inferences more...

Eigenvalues | Random effects | Parametric bootstrap | Asymptotic distribution | Longitudinal data | Gradient function | GOODNESS | STATISTICS & PROBABILITY | OF-FIT TESTS | MIXTURE LIKELIHOODS | GENERALIZED LINEAR-MODELS | FAMILY | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | GEOMETRY | Multivariate Analysis | Data Interpretation, Statistical | Algorithms | Computer Simulation | Humans | Foot Dermatoses | Linear Models | Onychomycosis - microbiology | Arthrodermataceae | Nails - microbiology | Randomized Controlled Trials as Topic | Models | Information management | Analysis

Eigenvalues | Random effects | Parametric bootstrap | Asymptotic distribution | Longitudinal data | Gradient function | GOODNESS | STATISTICS & PROBABILITY | OF-FIT TESTS | MIXTURE LIKELIHOODS | GENERALIZED LINEAR-MODELS | FAMILY | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | GEOMETRY | Multivariate Analysis | Data Interpretation, Statistical | Algorithms | Computer Simulation | Humans | Foot Dermatoses | Linear Models | Onychomycosis - microbiology | Arthrodermataceae | Nails - microbiology | Randomized Controlled Trials as Topic | Models | Information management | Analysis

Journal Article

IEEE Transactions on Communications, ISSN 0090-6778, 04/2009, Volume 57, Issue 4, pp. 1050 - 1060

Random matrices play a crucial role in the design and analysis of multiple-input multiple-output (MIMO) systems. In particular, performance of MIMO systems...

Multiple-input multiple-output (MIMO) | eigenvalue distribution | Stochastic processes | Closed-form solution | Matrix decomposition | Wishart matrices | marginal distribution | Diversity reception | Rician channels | Probability density function | Eigenvalues and eigenfunctions | MIMO | Performance analysis | Singular value decomposition | Eeigenvalue distribution | Marginal distribution | CAPACITY | MIMO MRC SYSTEMS | COMMUNICATION-SYSTEMS | PERFORMANCE | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | ROOTS | DIVERSITY | INTERFERENCE | SAMPLES | MULTIVARIATE NORMAL-POPULATIONS | FADING CHANNELS | Analysis | Antennas (Electronics) | MIMO communications | Studies | Mathematical models | Methodology | Mathematical analysis | Exact solutions | Eigenvalues | Matrices | Matrix methods | Antennas | Probability density functions

Multiple-input multiple-output (MIMO) | eigenvalue distribution | Stochastic processes | Closed-form solution | Matrix decomposition | Wishart matrices | marginal distribution | Diversity reception | Rician channels | Probability density function | Eigenvalues and eigenfunctions | MIMO | Performance analysis | Singular value decomposition | Eeigenvalue distribution | Marginal distribution | CAPACITY | MIMO MRC SYSTEMS | COMMUNICATION-SYSTEMS | PERFORMANCE | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | ROOTS | DIVERSITY | INTERFERENCE | SAMPLES | MULTIVARIATE NORMAL-POPULATIONS | FADING CHANNELS | Analysis | Antennas (Electronics) | MIMO communications | Studies | Mathematical models | Methodology | Mathematical analysis | Exact solutions | Eigenvalues | Matrices | Matrix methods | Antennas | Probability density functions

Journal Article

IEEE Transactions on Power Delivery, ISSN 0885-8977, 07/2009, Volume 24, Issue 3, pp. 1538 - 1551

This paper proposes a control strategy for a single-stage, three-phase, photovoltaic (PV) system that is connected to a distribution network. The control is...

Photovoltaic systems | Regulators | Sensitivity analysis | Modal analysis | photovoltaic (PV) | Control systems | Nonlinear dynamical systems | Solar power generation | Voltage control | power electronics | Design optimization | Robust control | Control | participation factor | feedforward | voltage-source converter (VSC) | eigenvalue analysis | Voltage-source converter | Eigenvalue analysis | Photovoltaic (PV) | Power electronics | Feedforward | Participation factor | GRID-CONNECTED INVERTERS | PERFORMANCE | NEW-ENGLAND | modal analysis | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Photovoltaic power generation | Feedforward control systems | Electric current converters | Eigenvalues | Equipment and supplies | Design and construction | Solar energy | Networks | Nonlinear dynamics | System dynamics | Dynamics | Dynamical systems | Loads (forces)

Photovoltaic systems | Regulators | Sensitivity analysis | Modal analysis | photovoltaic (PV) | Control systems | Nonlinear dynamical systems | Solar power generation | Voltage control | power electronics | Design optimization | Robust control | Control | participation factor | feedforward | voltage-source converter (VSC) | eigenvalue analysis | Voltage-source converter | Eigenvalue analysis | Photovoltaic (PV) | Power electronics | Feedforward | Participation factor | GRID-CONNECTED INVERTERS | PERFORMANCE | NEW-ENGLAND | modal analysis | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Photovoltaic power generation | Feedforward control systems | Electric current converters | Eigenvalues | Equipment and supplies | Design and construction | Solar energy | Networks | Nonlinear dynamics | System dynamics | Dynamics | Dynamical systems | Loads (forces)

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 06/2016, Volume 452, pp. 220 - 228

Exact analytic solution for the probability distribution function of the non-inertial rotational diffusion equation, i.e., of the Smoluchowski one, in a...

Diffusion | Confluent Heun’s function | Rotational motion | Confluent Heun's function | TIMES | PARTICLE | PHYSICS, MULTIDISCIPLINARY | THERMAL FLUCTUATIONS | DIELECTRIC-RELAXATION | ROTATIONAL DIFFUSION | MOLECULES | DYNAMICS | LINE-SHAPES | NEMATIC LIQUID-CRYSTALS | SPIN-RELAXATION | Distribution (Probability theory) | Mathematical analysis | Barriers | Exact solutions | Decay | Eigenvalues | Probability distribution functions | Rotational | Physics - Statistical Mechanics

Diffusion | Confluent Heun’s function | Rotational motion | Confluent Heun's function | TIMES | PARTICLE | PHYSICS, MULTIDISCIPLINARY | THERMAL FLUCTUATIONS | DIELECTRIC-RELAXATION | ROTATIONAL DIFFUSION | MOLECULES | DYNAMICS | LINE-SHAPES | NEMATIC LIQUID-CRYSTALS | SPIN-RELAXATION | Distribution (Probability theory) | Mathematical analysis | Barriers | Exact solutions | Decay | Eigenvalues | Probability distribution functions | Rotational | Physics - Statistical Mechanics

Journal Article

Graphs and Combinatorics, ISSN 0911-0119, 9/2017, Volume 33, Issue 5, pp. 1283 - 1295

Let $$m_G(I)$$ m G ( I ) denote the number of Laplacian eigenvalues of a graph G in an interval I, and let $$\gamma (G)$$ γ ( G ) denote its domination number....

Graph | 05C50 | Domination number | Laplacian eigenvalue | Mathematics | Engineering Design | Combinatorics | 05C69 | MATHEMATICS | EIGENVALUES | NUMBER | TREES | IRREDUNDANCE | PARAMETERS | SPECTRUM

Graph | 05C50 | Domination number | Laplacian eigenvalue | Mathematics | Engineering Design | Combinatorics | 05C69 | MATHEMATICS | EIGENVALUES | NUMBER | TREES | IRREDUNDANCE | PARAMETERS | SPECTRUM

Journal Article

IEEE Transactions on Communications, ISSN 0090-6778, 06/2010, Volume 58, Issue 6, pp. 1705 - 1717

This paper investigates the distribution of the condition number of complex Wishart matrices. Two closely related measures are considered: the standard...

Context | joint eigenvalue distribution | Rayleigh channels | Closed-form solution | Mathematics | Probability distribution | complex Wishart matrices | Communication standards | MIMO systems | Measurement standards | MIMO | Polynomials | Eigenvalues and eigenfunctions | condition number | Condition number | Complex Wishart matrices | Joint eigenvalue distribution | CAPACITY | EIGENVALUE DISTRIBUTIONS | MIMO MRC SYSTEMS | ALGORITHMS | TELECOMMUNICATIONS | RAYLEIGH-FADING CHANNELS | ENGINEERING, ELECTRICAL & ELECTRONIC | PERFORMANCE ANALYSIS | OUTAGE | RICEAN | DIVERSITY | COMMUNICATION | Chi-square tests | Eigenvalues | Technology application | Usage | Distribution | MIMO communications | Studies | Fading | Mathematical analysis | Scalars | Matrices | Computational efficiency | Matrix methods | Channels

Context | joint eigenvalue distribution | Rayleigh channels | Closed-form solution | Mathematics | Probability distribution | complex Wishart matrices | Communication standards | MIMO systems | Measurement standards | MIMO | Polynomials | Eigenvalues and eigenfunctions | condition number | Condition number | Complex Wishart matrices | Joint eigenvalue distribution | CAPACITY | EIGENVALUE DISTRIBUTIONS | MIMO MRC SYSTEMS | ALGORITHMS | TELECOMMUNICATIONS | RAYLEIGH-FADING CHANNELS | ENGINEERING, ELECTRICAL & ELECTRONIC | PERFORMANCE ANALYSIS | OUTAGE | RICEAN | DIVERSITY | COMMUNICATION | Chi-square tests | Eigenvalues | Technology application | Usage | Distribution | MIMO communications | Studies | Fading | Mathematical analysis | Scalars | Matrices | Computational efficiency | Matrix methods | Channels

Journal Article

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