# zbMATH — the first resource for mathematics

## Girko, Vyacheslav Leonidovich

Compute Distance To:
 Author ID: girko.vyacheslav-l Published as: Girko, V.; Girko, V. L.; Girko, Vyacheslav; Girko, Vyacheslav L. External Links: Math-Net.Ru · GND
 Documents Indexed: 271 Publications since 1970, including 13 Books Biographic References: 1 Publication
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#### Co-Authors

 200 single-authored 6 Pavlenko, T. V. 5 Onsha, Yu. M. 5 Vasil’ev, Victor V. 4 Gupta, Arjun Kumar 4 Mysak, R. T. 4 Shevchuk, Larissa D. 4 Stepakhno, I. V. 4 Vinogradskaya, Alla V. 4 Vladimirova, Anna I. 3 Babanin, A. S. 3 Casati, Giulio 3 Litvin, Igor N. 3 Matvejchuk, A. K. 2 Akulov, G. V. 2 Ezhov, S. N. 2 Kirsch, Werner 2 Krak, Yurij V. 2 Smirnova, V. V. 1 Borodyanskij, N. I. 1 Chaika, O. G. 1 Chajka, O. G. 1 Christopeit, Norbert 1 Dias, R. G. 1 Dias, Ricardo Augusto 1 Kokobinadze, T. S. 1 Kurotschka, Viktor G. 1 Kutzelnigg, Almut 1 Lyashko, Sergeĭ Ivanovich 1 Molinari, Luca Guido 1 Nakonechny, A. G. 1 Plujko, V. A. 1 Plyujko, V. A. 1 Preston, N. 1 Repin, K. Yu. 1 Shevchuk, B. V. 1 Slyusarenko, V. I. 1 Vinograkskaya, A. V. 1 von Rosen, Dietrich
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#### Serials

 72 Random Operators and Stochastic Equations 32 Theory of Probability and Mathematical Statistics 14 Vychislitel’naya i Prikladnaya Matematika 11 Teoriya Veroyatnosteĭ i eë Primeneniya 11 Ukrainian Mathematical Journal 10 Theory of Probability and its Applications 9 Journal of Soviet Mathematics 8 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 8 Ukraïns’kyĭ Matematychnyĭ Zhurnal 5 Teoriya Veroyatnosteĭ i Matematicheskaya Statistika 5 Vestnik Kievskogo Universiteta. Modelirovanie i Optimizatsiya Slozhnykh Sistem 3 Russian Mathematical Surveys 3 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 3 Journal of Mathematical Sciences (New York) 3 Teoriya Sluchaĭnykh Protsessov 2 Mathematical Notes 2 Kibernetika 2 Soviet Mathematics. Doklady 2 Cybernetics 2 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Differential Equations 1 Acta Applicandae Mathematicae 1 Automation and Remote Control 1 Itogi Nauki i Tekhniki. Seriya Teoriya Veroyatnosteĭ. Matematicheskaya Statistika. Teoreticheskaya Kibernetika 1 Markov Processes and Related Fields 1 Issledovanie Operatsiĭ i ASU 1 Theory and Decision Library. Series B: Mathematical and Statistical Methods
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#### Fields

 202 Probability theory and stochastic processes (60-XX) 129 Linear and multilinear algebra; matrix theory (15-XX) 58 Statistics (62-XX) 18 Numerical analysis (65-XX) 14 Systems theory; control (93-XX) 7 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH

107 Publications have been cited 477 times in 248 Documents Cited by Year
Circular law. Zbl 0565.60034
Girko, V. L.
1984
Theory of stochastic canonical equations. Vol. 1. Zbl 0996.60002
Girko, Vyacheslav L.
2001
Limit theorems for distributions of eigenvalues of random symmetric matrices. Zbl 0717.60047
Girko, V. L.
1990
Spectral theory of random matrices. Zbl 0656.15012
Girko, V. L.
1988
Theory of stochastic determinants. (Teoriya sluchajnykh determinantov). Zbl 0475.60002
Girko, V. L.
1980
An introduction to statistical analysis of random arrays. Zbl 0934.62055
Girko, V. L.
1998
The strong circular law. Twenty years later. II. Zbl 1065.60026
Girko, V. L.
2004
Statistical analysis of observations of increasing dimension. Transl. from the Russian. Zbl 0867.62047
Girko, V. L.
1995
The circular law. Thirty years later. Zbl 1278.15041
Girko, Vyacheslav L.
2012
The circular law. Twenty years later. III. Zbl 1088.60020
Girko, V. L.
2005
Theory of stochastic canonical equations. Vol. 2. Zbl 0996.60003
Girko, Vyacheslav L.
2001
Limit theorems for functions of random variables. Textbook. Zbl 0553.60025
Girko, V. L.
1983
Elliptic law. Zbl 0658.62023
Girko, V. L.
1986
Spectral theory of random matrices. Zbl 0572.62043
Girko, V. L.
1985
Random matrices. (Slucainye matricy.). Zbl 0344.60001
Girko, V. L.
1975
The strong circular law. Twenty years later. I. Zbl 1088.60019
Girko, V. L.
2004
Random block matrix density and ss-law. Zbl 0959.60054
Girko, V. L.
2000
Theory of linear algebraic equations with random coefficients. Zbl 0870.60003
Girko, V. L.
1996
Theory of random determinants. Transl. from the Russian. Zbl 0704.60003
Girko, V. L.
1988
On the circle law. Zbl 0579.60025
Girko, V. L.
1983
35 years of the inverse tangent law. Zbl 1268.60005
Girko, Vyacheslav
2011
A refinement of the central limit theorem for random determinants. Zbl 0923.60027
Girko, V. L.
1997
The circular law: Ten years later. Zbl 0839.60038
Girko, V. L.
1994
Asymptotic behavior of spectral functions of empirical covariance matrices. Zbl 0827.62050
Girko, V. L.; Gupta, A. K.
1994
Asymptotics of eigenvalues of symmetric random matrices. Zbl 0807.15016
Girko, V. L.
1993
The central limit theorem for random determinants. Zbl 0441.60021
Girko, V. L.
1980
The generalized circular law. Zbl 1278.15040
Girko, Vyacheslav
2012
Extended proof of the statement: “Convergence rate of the expected spectral functions of symmetric random matrices $$\Sigma_n$$ is equal to $$O(n^{-1/2})$$” and the method of critical steepest descent. Zbl 1010.62041
Girko, V. L.
2002
Convergence rate of the expected spectral functions of symmetric random matrices is equal to $$O(n^{-1/2})$$. Zbl 0912.60004
Girko, V. L.
1998
Spectral theory of minimax estimation. Zbl 0844.62010
Girko, Vyacheslav L.
1996
Wigner’s semicircle law for band random matrices. Zbl 0839.60027
Casati, G.; Girko, V.
1993
Limit theorems for maximal and minimal eigenvalues of random matrices. Zbl 0712.60037
Girko, V. L.
1990
Theory of empirical systems of equations. Zbl 0793.60074
Girko, V. L.
1990
Asymptotics of the distribution of the spectrum of random matrices. Zbl 0717.60033
Girko, V. L.
1989
Introduction to general statistical analysis. Zbl 0653.62043
Girko, V. L.
1987
Distribution of eigenvalues and eigenvectors of Hermitian random matrices. Zbl 0415.15008
Girko, V. L.
1979
30 years of general statistical analysis and canonical equation $$K_{60}$$ for Hermitian matrices $$(A+BUC)(A+BUC)^*$$, where $$U$$ is a random unitary matrix. Zbl 1329.15069
Girko, Vyacheslav L.
2015
The generalized elliptic law. Zbl 1276.15018
Girko, Vyacheslav
2013
Spectral analysis of stochastic recurrence systems of growing dimension under $$G$$-condition. Canonical equation $$K_{91}$$. Zbl 1224.15071
Girko, V. L.; Vladimirova, A. I.
2009
V-regularization of unitary matrices. Corrected canonical equation $$K_{59}$$, canonical equation $$K_{61}$$ and V-pseudodensity for random matrices $$A + UB$$. Zbl 1118.60301
Girko, V. L.
2002
The cubic law, the invariance principle, and related topics in the theory of analytic functions of random matrices. Zbl 0972.15018
Girko, V. L.
2001
Strong circular law. Zbl 0929.60047
Girko, V. L.
1997
The $$V$$-density of eigenvalues of non symmetric random matrices and rigorous proof of the strong circular law. Zbl 0894.15011
Girko, V. L.
1997
Random matrices. Zbl 0862.15015
Girko, V. L.
1996
The elliptic law: Ten years later. II. Zbl 0841.60006
Girko, V. L.
1995
Minimax estimators for linear models with nonrandom disturbances. Zbl 0840.62061
Christopeit, N.; Girko, V. L.
1995
The elliptic law: Ten years later. I. Zbl 0831.60022
Girko, V. L.
1995
Limit theorems for sums of distribution functions of eigenvalues of symmetric random matrices. Zbl 0677.60037
Girko, V. L.
1989
The elliptic law. Zbl 0582.62016
Girko, V. L.
1985
The distribution of eigenvalues and eigenvectors of unitary random matrices. Zbl 0474.60024
Girko, V. L.
1981
The central limit theorem for random determinants. Zbl 0416.60028
Girko, V. L.
1979
On the distribution of solutions of systems of linear equations with random coefficients. Zbl 0293.60019
Girko, V. L.
1974
The method of perpendiculars of finding estimates from below for minimal singular eigenvalues of random matrices. Zbl 1390.15029
Girko, Vyacheslav L.
2018
From the first rigorous proof of the circular law in 1984 to the circular law for block random matrices under the generalized Lindeberg condition. Zbl 1388.15032
Girko, Vyacheslav L.
2018
Canonical equations $$K_{62}$$, $$K_{63}$$, $$K_{64}$$ and $$K_{65}$$ for random non-Hermitian matrices $$A+B(U+\gamma H)C$$, the upturned stools law, the upturned stool without seat law and doughnut law density. Zbl 1334.15095
Girko, Vyacheslav L.
2016
L.I.F.E.: $$\prod^m_{j=1}H^{(j)}_n\sim \widetilde{\text{L.I.F.E.}}\sim\{H^{(1)}_n\}^m$$ and Halloween Law. Zbl 1237.60008
Girko, Vyacheslav L.; Vladimirova, Anna I.
2010
The strong elliptic law. Twenty years later. I. Zbl 1120.60031
Girko, V. L.
2006
Thirty years of the central resolvent law and three laws on the $$1/n$$ expansion for resolvent of random matrices. Zbl 1051.60024
Girko, V. L.
2003
Multivariate elliptically contoured linear models and some aspects of the theory of random matrices. Zbl 0872.62061
Girko, V. L.; Gupta, A. K.
1996
Canonical equation for the resolvent of empirical covariance matrices pencil. Zbl 0878.60017
Girko, V. L.; Gupta, A. K.
1996
A necessary and sufficient condition for the semicircle law. Zbl 0842.60021
Girko, V.; Kirsch, W.; Kutzelnigg, A.
1994
Limit theorems for maximal and minimal eigenvalues of random matrices. Zbl 0741.60028
Girko, V. L.
1990
Limit theorems for the distribution of eigenvalues of random symmetric matrices. Zbl 0698.60049
Girko, V. L.
1989
The basic equation of G-analysis. Zbl 0732.60019
Girko, V. L.
1987
Spectral equations for minimax estimates of parameters of linear systems. Zbl 0729.93033
Girko, V. L.
1987
On inequalities for a random determinant and permanent. Zbl 0226.60080
Girko, V. L.
1971
RAP-method (random perturbation method) for finding $$S$$-minimax control vectors and parameter estimates for some linear systems with random coefficients. Zbl 1433.65059
Vladimirova, A. I.; Girko, Vyacheslav L.; Shevchuk, L. D.
2019
The limit $$G$$-law for the solutions of systems of linear algebraic equations with independent random coefficients under the $$G$$-Lindeberg condition. Zbl 1423.15003
Girko, Vyacheslav L.
2019
The inverse tangent law for the solutions of systems of linear algebraic equations with independent random coefficients is proven under Linderberg’s condition. Zbl 1393.15005
Girko, Vyacheslav L.; Shevchuk, Larissa D.
2018
Canonical equation $$K_{61}$$ for random non-Hermitian matrices $$A+B(U+\gamma H)C$$. Zbl 1329.15070
Girko, Vyacheslav L.
2015
The elliptic law. Thirty years later. Zbl 1298.60015
Girko, Vyacheslav
2012
The strong elliptical galactic law. Sand clock density. Twenty years later. II. Zbl 1119.60009
Girko, V. L.
2006
Thirty years of the ACE-Law and stochastic power method. Zbl 1129.60016
Girko, V. L.
2005
Twenty five years of stochastic canonical equation for normalized spectral functions of random symmetric matrices. Zbl 0972.15016
Girko, V. L.
2000
Strong law for the eigenvalues and eigenvectors of empirical covariance matrices. Zbl 0864.60026
Girko, V. L.
1996
A matrix equation for resolvents of random matrices with independent blocks. Zbl 0858.15009
Girko, V. L.
1995
The method of random determinants for estimating the permanent. Zbl 0829.60056
Girko, V. L.
1995
Generalized Wigner law for band random matrices. Zbl 0839.60035
Casati, G.; Girko, V.
1993
G-consistent estimates of eigenvalues and eigenvectors of matrices. Zbl 0733.15011
Girko, V. L.
1991
Asymptotic behavior of the eigenvalues of empirical covariance matrices. I. Zbl 0788.62054
Girko, V. L.
1991
Limit theorems for sums of distribution functions of eigenvalues of random symmetric matrices. Zbl 0717.60046
Girko, V. L.
1989
Asymptotics of the distribution of the spectrum of random matrices. Zbl 0687.60026
Girko, V. L.
1989
Two estimators of general statistical analysis. Zbl 0659.62036
Girko, V. L.
1988
Multivariate statistical analysis. Textbook. Zbl 0699.62052
Girko, V. L.
1988
Minimax regulators for evolution equations in Hilbert spaces, under indeterminacy conditions. Zbl 0682.93048
Girko, V. L.; Lyashko, S. I.; Nakonechnyj, A. G.
1987
An equation for the Stieltjes transform of the limit spectral functions of isotropic random matrices. Zbl 0644.60055
Girko, V. L.
1987
Random determinants. Zbl 0628.15021
Girko, V. L.
1986
Elliptic law. Zbl 0563.60017
Girko, V. L.
1985
Distribution of the eigenvalues of Gaussian random matrices. Zbl 0548.60018
Girko, V. L.; Kokobinadze, T. S.; Chajka, O. G.
1984
Spectrum control in systems described by linear equations in Hilbert spaces. Zbl 0548.93045
Vinogradskaya, A. V.; Girko, V. L.
1983
Limit theorems for products of independent random matrices with positive elements. Zbl 0536.60040
Girko, V. L.
1982
The V-transformation. Zbl 0509.60032
Girko, V. L.
1982
The central limit theorem for products of random matrices with positive elements. Zbl 0509.60028
Girko, V. L.
1982
Eigenvalues of random matrices. II. Zbl 0505.60080
Girko, V. L.
1982
The central limit theorem for random determinants. Zbl 0466.60030
Girko, V. L.
1981
On a new method of proving some limit theorems for products of independent random matrices. Zbl 0459.60036
Girko, V. L.
1981
Limit theorems for the eigenvalues of products of independent random matrices with nonnegative random elements. Zbl 0474.60023
Girko, V. L.
1980
Distribution of eigenvalues and eigenvectors of hermitian stochastic matrices. Zbl 0434.15014
Girko, V. L.
1980
On the central limit theorem for random determinants. Zbl 0412.60033
Girko, V. L.
1979
Lyapunov’s stochastic problem. Zbl 0407.60064
Girko, V. L.
1979
RAP-method (random perturbation method) for finding $$S$$-minimax control vectors and parameter estimates for some linear systems with random coefficients. Zbl 1433.65059
Vladimirova, A. I.; Girko, Vyacheslav L.; Shevchuk, L. D.
2019
The limit $$G$$-law for the solutions of systems of linear algebraic equations with independent random coefficients under the $$G$$-Lindeberg condition. Zbl 1423.15003
Girko, Vyacheslav L.
2019
The method of perpendiculars of finding estimates from below for minimal singular eigenvalues of random matrices. Zbl 1390.15029
Girko, Vyacheslav L.
2018
From the first rigorous proof of the circular law in 1984 to the circular law for block random matrices under the generalized Lindeberg condition. Zbl 1388.15032
Girko, Vyacheslav L.
2018
The inverse tangent law for the solutions of systems of linear algebraic equations with independent random coefficients is proven under Linderberg’s condition. Zbl 1393.15005
Girko, Vyacheslav L.; Shevchuk, Larissa D.
2018
Canonical equations $$K_{62}$$, $$K_{63}$$, $$K_{64}$$ and $$K_{65}$$ for random non-Hermitian matrices $$A+B(U+\gamma H)C$$, the upturned stools law, the upturned stool without seat law and doughnut law density. Zbl 1334.15095
Girko, Vyacheslav L.
2016
30 years of general statistical analysis and canonical equation $$K_{60}$$ for Hermitian matrices $$(A+BUC)(A+BUC)^*$$, where $$U$$ is a random unitary matrix. Zbl 1329.15069
Girko, Vyacheslav L.
2015
Canonical equation $$K_{61}$$ for random non-Hermitian matrices $$A+B(U+\gamma H)C$$. Zbl 1329.15070
Girko, Vyacheslav L.
2015
The generalized elliptic law. Zbl 1276.15018
Girko, Vyacheslav
2013
The circular law. Thirty years later. Zbl 1278.15041
Girko, Vyacheslav L.
2012
The generalized circular law. Zbl 1278.15040
Girko, Vyacheslav
2012
The elliptic law. Thirty years later. Zbl 1298.60015
Girko, Vyacheslav
2012
35 years of the inverse tangent law. Zbl 1268.60005
Girko, Vyacheslav
2011
L.I.F.E.: $$\prod^m_{j=1}H^{(j)}_n\sim \widetilde{\text{L.I.F.E.}}\sim\{H^{(1)}_n\}^m$$ and Halloween Law. Zbl 1237.60008
Girko, Vyacheslav L.; Vladimirova, Anna I.
2010
Spectral analysis of stochastic recurrence systems of growing dimension under $$G$$-condition. Canonical equation $$K_{91}$$. Zbl 1224.15071
Girko, V. L.; Vladimirova, A. I.
2009
The strong elliptic law. Twenty years later. I. Zbl 1120.60031
Girko, V. L.
2006
The strong elliptical galactic law. Sand clock density. Twenty years later. II. Zbl 1119.60009
Girko, V. L.
2006
The circular law. Twenty years later. III. Zbl 1088.60020
Girko, V. L.
2005
Thirty years of the ACE-Law and stochastic power method. Zbl 1129.60016
Girko, V. L.
2005
The strong circular law. Twenty years later. II. Zbl 1065.60026
Girko, V. L.
2004
The strong circular law. Twenty years later. I. Zbl 1088.60019
Girko, V. L.
2004
Thirty years of the central resolvent law and three laws on the $$1/n$$ expansion for resolvent of random matrices. Zbl 1051.60024
Girko, V. L.
2003
Extended proof of the statement: “Convergence rate of the expected spectral functions of symmetric random matrices $$\Sigma_n$$ is equal to $$O(n^{-1/2})$$” and the method of critical steepest descent. Zbl 1010.62041
Girko, V. L.
2002
V-regularization of unitary matrices. Corrected canonical equation $$K_{59}$$, canonical equation $$K_{61}$$ and V-pseudodensity for random matrices $$A + UB$$. Zbl 1118.60301
Girko, V. L.
2002
Theory of stochastic canonical equations. Vol. 1. Zbl 0996.60002
Girko, Vyacheslav L.
2001
Theory of stochastic canonical equations. Vol. 2. Zbl 0996.60003
Girko, Vyacheslav L.
2001
The cubic law, the invariance principle, and related topics in the theory of analytic functions of random matrices. Zbl 0972.15018
Girko, V. L.
2001
Random block matrix density and ss-law. Zbl 0959.60054
Girko, V. L.
2000
Twenty five years of stochastic canonical equation for normalized spectral functions of random symmetric matrices. Zbl 0972.15016
Girko, V. L.
2000
An introduction to statistical analysis of random arrays. Zbl 0934.62055
Girko, V. L.
1998
Convergence rate of the expected spectral functions of symmetric random matrices is equal to $$O(n^{-1/2})$$. Zbl 0912.60004
Girko, V. L.
1998
A refinement of the central limit theorem for random determinants. Zbl 0923.60027
Girko, V. L.
1997
Strong circular law. Zbl 0929.60047
Girko, V. L.
1997
The $$V$$-density of eigenvalues of non symmetric random matrices and rigorous proof of the strong circular law. Zbl 0894.15011
Girko, V. L.
1997
Theory of linear algebraic equations with random coefficients. Zbl 0870.60003
Girko, V. L.
1996
Spectral theory of minimax estimation. Zbl 0844.62010
Girko, Vyacheslav L.
1996
Random matrices. Zbl 0862.15015
Girko, V. L.
1996
Multivariate elliptically contoured linear models and some aspects of the theory of random matrices. Zbl 0872.62061
Girko, V. L.; Gupta, A. K.
1996
Canonical equation for the resolvent of empirical covariance matrices pencil. Zbl 0878.60017
Girko, V. L.; Gupta, A. K.
1996
Strong law for the eigenvalues and eigenvectors of empirical covariance matrices. Zbl 0864.60026
Girko, V. L.
1996
Statistical analysis of observations of increasing dimension. Transl. from the Russian. Zbl 0867.62047
Girko, V. L.
1995
The elliptic law: Ten years later. II. Zbl 0841.60006
Girko, V. L.
1995
Minimax estimators for linear models with nonrandom disturbances. Zbl 0840.62061
Christopeit, N.; Girko, V. L.
1995
The elliptic law: Ten years later. I. Zbl 0831.60022
Girko, V. L.
1995
A matrix equation for resolvents of random matrices with independent blocks. Zbl 0858.15009
Girko, V. L.
1995
The method of random determinants for estimating the permanent. Zbl 0829.60056
Girko, V. L.
1995
The circular law: Ten years later. Zbl 0839.60038
Girko, V. L.
1994
Asymptotic behavior of spectral functions of empirical covariance matrices. Zbl 0827.62050
Girko, V. L.; Gupta, A. K.
1994
A necessary and sufficient condition for the semicircle law. Zbl 0842.60021
Girko, V.; Kirsch, W.; Kutzelnigg, A.
1994
Asymptotics of eigenvalues of symmetric random matrices. Zbl 0807.15016
Girko, V. L.
1993
Wigner’s semicircle law for band random matrices. Zbl 0839.60027
Casati, G.; Girko, V.
1993
Generalized Wigner law for band random matrices. Zbl 0839.60035
Casati, G.; Girko, V.
1993
G-consistent estimates of eigenvalues and eigenvectors of matrices. Zbl 0733.15011
Girko, V. L.
1991
Asymptotic behavior of the eigenvalues of empirical covariance matrices. I. Zbl 0788.62054
Girko, V. L.
1991
Limit theorems for distributions of eigenvalues of random symmetric matrices. Zbl 0717.60047
Girko, V. L.
1990
Limit theorems for maximal and minimal eigenvalues of random matrices. Zbl 0712.60037
Girko, V. L.
1990
Theory of empirical systems of equations. Zbl 0793.60074
Girko, V. L.
1990
Limit theorems for maximal and minimal eigenvalues of random matrices. Zbl 0741.60028
Girko, V. L.
1990
Asymptotics of the distribution of the spectrum of random matrices. Zbl 0717.60033
Girko, V. L.
1989
Limit theorems for sums of distribution functions of eigenvalues of symmetric random matrices. Zbl 0677.60037
Girko, V. L.
1989
Limit theorems for the distribution of eigenvalues of random symmetric matrices. Zbl 0698.60049
Girko, V. L.
1989
Limit theorems for sums of distribution functions of eigenvalues of random symmetric matrices. Zbl 0717.60046
Girko, V. L.
1989
Asymptotics of the distribution of the spectrum of random matrices. Zbl 0687.60026
Girko, V. L.
1989
Spectral theory of random matrices. Zbl 0656.15012
Girko, V. L.
1988
Theory of random determinants. Transl. from the Russian. Zbl 0704.60003
Girko, V. L.
1988
Two estimators of general statistical analysis. Zbl 0659.62036
Girko, V. L.
1988
Multivariate statistical analysis. Textbook. Zbl 0699.62052
Girko, V. L.
1988
Introduction to general statistical analysis. Zbl 0653.62043
Girko, V. L.
1987
The basic equation of G-analysis. Zbl 0732.60019
Girko, V. L.
1987
Spectral equations for minimax estimates of parameters of linear systems. Zbl 0729.93033
Girko, V. L.
1987
Minimax regulators for evolution equations in Hilbert spaces, under indeterminacy conditions. Zbl 0682.93048
Girko, V. L.; Lyashko, S. I.; Nakonechnyj, A. G.
1987
An equation for the Stieltjes transform of the limit spectral functions of isotropic random matrices. Zbl 0644.60055
Girko, V. L.
1987
Elliptic law. Zbl 0658.62023
Girko, V. L.
1986
Random determinants. Zbl 0628.15021
Girko, V. L.
1986
Spectral theory of random matrices. Zbl 0572.62043
Girko, V. L.
1985
The elliptic law. Zbl 0582.62016
Girko, V. L.
1985
Elliptic law. Zbl 0563.60017
Girko, V. L.
1985
Circular law. Zbl 0565.60034
Girko, V. L.
1984
Distribution of the eigenvalues of Gaussian random matrices. Zbl 0548.60018
Girko, V. L.; Kokobinadze, T. S.; Chajka, O. G.
1984
Limit theorems for functions of random variables. Textbook. Zbl 0553.60025
Girko, V. L.
1983
On the circle law. Zbl 0579.60025
Girko, V. L.
1983
Spectrum control in systems described by linear equations in Hilbert spaces. Zbl 0548.93045
Vinogradskaya, A. V.; Girko, V. L.
1983
Limit theorems for products of independent random matrices with positive elements. Zbl 0536.60040
Girko, V. L.
1982
The V-transformation. Zbl 0509.60032
Girko, V. L.
1982
The central limit theorem for products of random matrices with positive elements. Zbl 0509.60028
Girko, V. L.
1982
Eigenvalues of random matrices. II. Zbl 0505.60080
Girko, V. L.
1982
The distribution of eigenvalues and eigenvectors of unitary random matrices. Zbl 0474.60024
Girko, V. L.
1981
The central limit theorem for random determinants. Zbl 0466.60030
Girko, V. L.
1981
On a new method of proving some limit theorems for products of independent random matrices. Zbl 0459.60036
Girko, V. L.
1981
Theory of stochastic determinants. (Teoriya sluchajnykh determinantov). Zbl 0475.60002
Girko, V. L.
1980
The central limit theorem for random determinants. Zbl 0441.60021
Girko, V. L.
1980
Limit theorems for the eigenvalues of products of independent random matrices with nonnegative random elements. Zbl 0474.60023
Girko, V. L.
1980
Distribution of eigenvalues and eigenvectors of hermitian stochastic matrices. Zbl 0434.15014
Girko, V. L.
1980
Distribution of eigenvalues and eigenvectors of Hermitian random matrices. Zbl 0415.15008
Girko, V. L.
1979
The central limit theorem for random determinants. Zbl 0416.60028
Girko, V. L.
1979
On the central limit theorem for random determinants. Zbl 0412.60033
Girko, V. L.
1979
Lyapunov’s stochastic problem. Zbl 0407.60064
Girko, V. L.
1979
A logarithmic law. Zbl 0398.60034
Girko, V. L.
1979
General limit theorems for spectral functions of random matrices. Zbl 0374.60038
Girko, V. L.
1977
A limit theorem for products of random matrices. Zbl 0367.60032
Girko, V. L.
1976
...and 7 more Documents
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#### Cited by 290 Authors

 33 Girko, Vyacheslav Leonidovich 13 Tikhomirov, Alexander Nikolaevich 12 Götze, Friedrich W. 8 Erdős, László 7 Pastur, Leonid Andreevich 6 Chafaï, Djalil 6 Krüger, Torben 6 Najim, Jamal 6 Vu, Van H. 5 Hachem, Walid 5 Lytova, Anna 5 Serdobolskii, Vadim I. 5 Tao, Terence 4 Ajanki, Oskari Heikki 4 Bordenave, Charles 4 Cook, Nicholas A. 4 Loubaton, Philippe 4 Naumov, Alekseĭ Aleksandrovich 4 O’Rourke, Sean D. 4 Rempała, Grzegorz A. 4 Shevchuk, Larissa D. 4 Zeitouni, Ofer 3 Akemann, Gernot 3 Bao, Zhigang 3 Bourgade, Paul 3 Caputo, Pietro 3 Chatterjee, Sourav 3 Dette, Holger 3 Jiang, Tiefeng 3 Krivonogov, Andrey S. 3 Litvak, Aleksandr Evgen’evich 3 Nguyen, Hoi H. 3 Pan, Guangming 3 Renfrew, David 3 Tikhomirov, Konstantin E. 3 Vladimirova, Anna I. 3 Wesołowski, Jacek 3 Yau, Horng-Tzer 3 Yin, Jun 3 Zhou, Wang 2 Adhikari, Kartick 2 Alexeev, Nikita V. 2 Arnold, Bernhard F. 2 Bai, Zhi-Dong 2 Basak, Anirban 2 Bobkov, Sergey Germanovich 2 Bodnar, Taras 2 Boutet de Monvel, Anne Marie 2 Churkin, Valerii Avdeevich 2 Couillet, Romain 2 Drygas, Hilmar 2 El Karoui, Noureddine 2 Guionnet, Alice 2 Gupta, Arjun Kumar 2 Janik, Romuald A. 2 Kanzieper, Eugene 2 Kemp, Todd A. 2 Khorunzhy, Alexei M. 2 Krishnapur, Manjunath 2 Ledoit, Olivier 2 Li, Hanyu 2 Litvin, Igor N. 2 Lytova, A. Yu. 2 Merzi, Dario 2 Molchanov, Stanislav Alekseevich 2 Nowak, Maciej A. 2 Parolya, Nestor R. 2 Qi, Yongcheng 2 Rudelson, Mark 2 Saha, Koushik 2 Schnelli, Kevin 2 Schröder, Dominik 2 Silverstein, Jack W. 2 Sinclair, Christopher D. 2 Soshnikov, Alexander B. 2 Splittorff, Kim 2 Stahlecker, Peter 2 Timushev, Dmitry Anatolievich 2 Tomczak-Jaegermann, Nicole 2 Verbaarschot, Jacobus J. M. 2 Wolf, Michael 2 Xiao, Chuanfu 2 Yas’kov, P. A. 2 Yin, Yanqing 2 Youssef, Pierre 1 Adamczak, Radosław 1 Afanasiev, Ievgenii 1 Agam, Oded 1 Ahmadabadi, Majid Nili 1 Akulov, G. V. 1 Albers, David J. 1 Albeverio, Sergio A. 1 Alt, Johannes 1 Argyros, Ioannis Konstantinos 1 Ayadi, Souad 1 Balogh, Ferenc N. 1 Balogh, Ference 1 Banna, Marwa 1 Bauerschmidt, Roland 1 Belinschi, Serban Teodor ...and 190 more Authors
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#### Cited in 89 Serials

 20 Random Operators and Stochastic Equations 15 Probability Theory and Related Fields 13 Journal of Theoretical Probability 12 Journal of Multivariate Analysis 11 Journal of Statistical Physics 9 The Annals of Probability 8 Ukrainian Mathematical Journal 8 Statistics & Probability Letters 8 The Annals of Applied Probability 7 Journal of Mathematical Sciences (New York) 6 Journal of Soviet Mathematics 6 Random Matrices: Theory and Applications 5 Mathematical Notes 5 Nuclear Physics. B 5 Advances in Mathematics 5 Linear Algebra and its Applications 4 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Acta Applicandae Mathematicae 3 Journal of Mathematical Analysis and Applications 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Theory of Probability and its Applications 2 Siberian Mathematical Journal 2 Cybernetics 2 Journal of Complexity 2 Constructive Approximation 2 Journal of the American Mathematical Society 2 Communications in Statistics. Theory and Methods 2 Stochastic Processes and their Applications 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Cybernetics and Systems Analysis 2 Statistical Papers 2 Electronic Journal of Probability 2 Bernoulli 2 Chaos 2 Journal of the European Mathematical Society (JEMS) 2 Central European Journal of Mathematics 2 Journal of Statistical Mechanics: Theory and Experiment 1 Communications on Pure and Applied Mathematics 1 International Journal of Systems Science 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Metrika 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Scandinavian Journal of Statistics 1 Theoretical and Mathematical Physics 1 Algebra and Logic 1 The Annals of Statistics 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Stochastic Analysis and Applications 1 Physica D 1 Statistical Science 1 Journal of Economic Dynamics & Control 1 Science in China. Series A 1 Random Structures & Algorithms 1 Geometric and Functional Analysis. GAFA 1 International Journal of Computer Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Computer and Systems Sciences International 1 Annales Mathématiques Blaise Pascal 1 Journal of Geodesy 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Matematicheskie Trudy 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Entropy 1 Natural Computing 1 Journal of the Korean Statistical Society 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Probability Surveys 1 Information and Inference 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Forum of Mathematics, Sigma 1 Journal of the Operations Research Society of China 1 Journal of Linear and Topological Algebra 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 41 Fields

 161 Probability theory and stochastic processes (60-XX) 148 Linear and multilinear algebra; matrix theory (15-XX) 51 Statistics (62-XX) 21 Statistical mechanics, structure of matter (82-XX) 13 Numerical analysis (65-XX) 11 Operator theory (47-XX) 10 Functional analysis (46-XX) 9 Combinatorics (05-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Quantum theory (81-XX) 7 Special functions (33-XX) 7 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Functions of a complex variable (30-XX) 4 Nonassociative rings and algebras (17-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 Potential theory (31-XX) 3 Partial differential equations (35-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX)