The circular law. Twenty years later. Part III

Random Operators and Stochastic Equations

Volumn 13, Issue 1, 2005, Pages 53-109

  Girko, V L ^a  

^a UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

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[No Author keywords available]

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EID: 33845661409     PISSN: 09266364     EISSN: 1569397X     Source Type: Journal    
DOI: 10.1163/1569397053300946     Document Type: Article

References (31)

1. P. Biane, F. Lehner. Computation of some examples of Brown's spectral measure in free probability. ESI, Preprint No. 823, 27p.
2. V. L. Girko. The V -transformation, Dokl. Akad. Nauk Ukr.SSR, Ser. Mat. 3, 5-6 (1982). (in Russian).
3. V. L. Girko. On the Circle Law, Theory of Probability and Mathematical Statistics, No. 28, 15-23 (1983).
4. V. L. Girko. The Circle Law, Theory of Probabilities and their Applications, 29, 4, 669-679 (1984).
5. V. L. Girko. Regularized V -transform. Theory of Probability and its Applications, 29, 2, 416-417 (1984).
6. V. L. Girko. The Elliptic Law, Reports of the Fourth Vilnius Conference on the Theory of Probability and Mathematical Statistics, Vilnius, 171-173 (1985).
7. V. L. Girko. The Elliptic Law, Doclady AN USSR, ser. Matematika i mehanika, 1, 3-7 (1985).
8. V. L. Girko. The Elliptic Law, Theory of Probability and their Applications 30, 4, 640-651 (1985).
9. V. L. Girko. The Elliptic Law and Elements of G-analysis, Proceedings of the Fourth Vilnius Conference, Vol. 1, VNU Science Press BV, 489-509 (1987).
10. V. L. Girko. Theory of Random Determinants. Kluwer Academic Publishers (1990).
11. V. L. Girko. The Circular Law: Ten Years Later, Random Oper. and Stoch. Equ., Vol. 2, No. 3, 235-277 (1994).
12. V. L. Girko. The Elliptic Law: Ten Years Later I. Random Operators and Stochastic Equations, 3, 3, 257-302 (1995).
13. V. L. Girko. The Elliptic Law: Ten Years Later II. Random Operators and Stochastic Equations, 3, 4, 377-398 (1995).
14. V. L. Girko. Theory of Linear Algebraic Equations with Random Coefficients, Allerton Press, Inc. New York, 320 p. (1996).
15. Girko's Circular Law: Let λ be Eigenvalues of a set of Random n×n Matrices. Then λ/√n is uniformly distributed on the Disk. p. 737. CRC Concise Encyclopedia of Mathematics on CD-ROM, 1996-9 Eric W. Weisstein
16. V. L. Girko. Strong Circular Law. Random Operators and Stochastic Equations, 5, 2, 173-197 (1997).
17. V. L. Girko. Strong Elliptic Law. Random Operators and Stochastic Equations, 5, 3, 269-306 (1997).
18. V. L. Girko. An Introduction to Statistical Analysis of Random Arrays. Publishing VSP, 673pp. (1998).
19. V. L. Girko. The V -relation between Hermitian and non-Hermitian operators and strong law for normalized spectral functions of non-selfadjoint random matrices with independent row vectors. Markov Processes and Related Fields 4, 4, 499-508 (1998).
20. V. L. Girko. Theory of stochastic canonical equations. Publishing Kluwer, Volume I, 497p. (2001).
21. V. L. Girko. Theory of stochastic canonical equations. Publishing Kluwer, Volumes II (493p.) (2001).
22. M. L. Mehta. Random matrices and the statistical theory of energy levels. Academic Press, New York, London (1967).
23. L. A. Pastur. The Spectra of Random Selfadjoint Operators, Russian Math. Surveys 28, 1, 1-67 (1973).
24. V. L. Girko. Universality and Arcsine laws for random matrices A + UmB(U*;)m Random Operators and Stochastic Equations, 9, 3, 287-306 (2001).
25. V. L. Girko. Universality and Arcsine laws for random matrices (A+UB)(A+UB)*; Random Operators and Stochastic Equations, 9, 4, 339-356 (2001).
26. V. L. Girko. V - Regularization of unitary matrices. Corrected canonical equation K59, canonical equation K61 and V -pseudodensity for random matrices A + UB. Random Operators and Stochastic Equations, 10, 2, 141-200 (2002).
27. V. L. Girko. The Strong Circular Law. Twenty years later. Part I. Random Operators and Stochastic Equations, 12, 1, 49-104 (2004).
28. V. L. Girko. The Strong Circular Law. Twenty years later. Part II. Random Operators and Stochastic Equations, 12, 3, 251-309 (2004).
29. U. Haagerup and F. Larsen, Brown's spectral distribution measure for R -diagonal elements in finite von Neumann algebras, preprint (33 pp.), Odense 1999. Journ. Functional analysis, N 176, 331-367 (2000).
30. L. A. Pastur. The Spectra of Random Selfadjoint Operators, Russian Math. Surveys 28, 1, 1-67 (1973).
31. L. A. Pastur and V. Vasilchuk. On the law of additional of random matrices, Comm. Math. Phys. 214, 2, 249-286 (2000).