# Leonid Pastur

Professor,
Head of Department of Theoretical Physics
B.I.Verkin Institute for Low Temperature Physics & Engineering,
47 Lenin Ave., Kharkov, Ukraine
E-mail: lpastur@ilt.kharkov.ua
Telephone:+38 (057) 340-50-62
Fax:+38 (057) 340-33-70

Curriculum Vitae in pdf here.
List of publications in pdf here.
Research interests: spectral properties of random operators and matrices, theoretical physics of disordered systems

RECENT PUBLICATIONS

1. A class of the multi-interval eigenvalue distributions of a matrix models and related structures (with V. Bulsaev).

2.  In: Asymptotic Combinatorics and Applications to Mathematical Physics, 52-70, A. Vershik, V. Malyshev (Eds.), Kluwer, Dordecht, 2002

3. On the edge universality of the local statistics of matrix models (with M. Shcherbina) Math. Phys. Analiz, Geom. 10, 3, 335-365 (2002)

4. On the spectral and wave propagation properties of the surface Maryland model (with F. Bentosela and Ph. Briet) J. Math. Phys. 44, 1-35 (2003)

5. On the Mott Formula for the AC conductivity and binary correlators in the strong localization regime of disordered systems (with W. Kirsch and O. Lenoble)
J. Phys. A: Math. Gen. 36, 1257-1289 (2003)

6. A random matrix model of relaxation (with J.L. Lebowitz). J. Phys. A: Math. Gen. 37, 1517-1534 (2004)

7. On the moments of traces of matrices of classical groups (with V., Vasilchuk). Commun. Math. Phys. 252, 149-166 (2004)

8. Bose-Einstein condensation in random potential (with O. Lenoble and V. Zagrebnov). Comptes Rendus Physiques 5, 129-142 (2004)

9. A simple approach to the global regime of Gaussian ensembles of random matrices. Ukrainian Math. J. 57, no. 6, 936-966 (2005)

10. From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials. J. Approx. Theory 139, no. 1-2, 269-292 (2006)

11. Limiting Laws of Linear Eigenvalue Statistics for Unitary Invariant Matrix Models J. Math. Phys. 47 103303 (2006)

12. Condensation in a Disordered Infinite-Range Hopping Bose-Hubbard Model (with T. C. Dorlas and V. A. Zagrebnov) J. Stat. Phys. 124 1137-1178 (2006)

13. On the Law of Addition of Random Matrices: Covariance and the Central Limit Theorem for Traces of Resolvent (with V. Vasilchuk)
In: CRM Proceedings and Lecture Notes: "Probability and Mathematical Physics, vol. 42, F. Dawson, V. Jaksic, and B. Vainberg (Eds), AMS, Providence, 2007

14. Eigenvalue distribution of random matrices. In: Random Media 2000 (Proceedings of the Mandralin Summer School, June, 2000,
Poland), Interdisciplinary Centre of Mathematical and Computational Modeling, Warsaw, 2007, pp.93 -- 206

15. Bulk Universality and Related Properties of Hermitian Matrix Models (with M. Shcherbina)
J. Stat. Phys. {\bf 130}, 205 -- 250 (2008)

16. On Asymptotic Behavior of Multilinear Eigenvalue Statistics of Random Matrices (with A. Lytova)
J. Stat. Phys. {\bf 133}, 871 -- 882 (2008)

17. A new approach for mutual information analysis of large dimensional multi-antenna channels (with W. Hachem, O. Khorunzhiy, P. Loubaton, J. Najim)
IEEE Trans. Inform. Theory {\bf 54} 3987--4004 (2008)

18. Orthogonal polynomials, Jacobi matrices and random matrices. In: Integrable systems and random matrices, 249--263,
Contemp. Math., 458, AMS., Providence, RI, 2008.

19. Fluctuations of matrix elements of regular functions of random Gaussian matrices.(with A. Lytova)
J. Stat. Phys.  134, 147 -- 159 (2009)

20. On the limiting empirical measure of eigenvalues of the sum of rank one matrices with log-concave distribution (with A. Pajor)
Studia Math. 195, 11 -- 29 (2009)

21. Central limit theorem for linear eigenvalue statistics of random matrices with independent entries (with A. Lytova)
Annals of Probability  37, 1778 -- 1840 (2009).

22. On connections between the theory of random operators and the theory of random matrices.
St. Petersburg Mathematical Journal  23:1 169–199 (2011)

23. * Eigenvalue distribution of large random matrices (with M. Shcherbina).
American Mathematical Society, Providence, RI, 2011, xiv+632 pp.

24. Eigenvalue-density of linear stochastic dynamical systems. A random matrix approach (with S. Adhikari, A. Lytova and J.L. Du Bois),
Journal of Sound and Vibration,  331 (2012), pp. 1042-1058.

25. On the asymptotic properties of polynomials orthogonal with respect to varying weights and related problems of spectral theory. (with I.E. Egorova)
Algebra i Analiz 25 (2013), no. 2, 101–124.

26. Effect of winding edge currents (with S. Ouvry, A. Yanovsky).
Phys. Lett. A 377 (2013), no. 10-11, 804–809.

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