Leonid PasturLeonid Pastur

Professor,
Chief Scientific Researcher, DSc
B.I.Verkin Institute for Low Temperature Physics & Engineering,
47 Nauky Ave., Kharkov 61103  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, random matrices and their applications

RECENT PUBLICATIONS

2014

Thomas precession, persistent spin currents and quantum forces. Europhysics Letters, 106, (2014), 18001, 6 pp., (coauthors S. Ouvry, A. Yanovsky).

Ground state of one-dimension repulsing particles on disordered lattice. Internat. J. Modern Phys. C, 25, (2014), № 8, 1450028 , p. 17 (coauthors V. Slavin, A. Krivchikov).

The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one. In: Spectral Theory and Differential Equations, 145–164, Amer. Math. Soc. Transl. Ser. 2, 233, Amer. Math. Soc., Providence, RI, (2014) (coauthors O. Guedon, A. Lytova, A. Pajor).

Area law scaling for the entropy of disordered quasifree fermions. Phys. Rev. Letters, 113, (2014), 150404, 4 pp. (coauthor V. Slavin).

2015

Analogues of Szego's theorem for ergodic operators. Mat. Sb. 206, (2015), № 1, 103-130, translation in Sb. Math. 206 (2015), № 1-2, 93-119 (coauthor W. Kirsch).

On the equilibrium state of a small system with random matrix coupling to its environment. J. Phys. A, 48, (2015), № 26, 265201, 19 pp., (coauthor J. Lebowitz).

Examples of random Schroedinger-type operators with non-Poissonian spectra, Markov Processes and Related Fields, 21, (2015), № 3, 713 – 749 (coauthors S. Molchanov, E. Ray).

On a limiting distribution of singular values of random band matrices. J. Analysis, Mathematical Physics, Geometry, 11, (2015), № 4, 311–332 (coauthor A. Lytova).

The Shannon's mutual information of a multiple antenna time and frequency dependent channels: an ergodic operator approach. Journal of Mathematical Physics, 56, (2015), № 11, 113501, 29 pp., (coauthors W. Hachem, A. Moustakas).

2017

Large block properties of the entanglement entropy of disordered fermions. Journal of Statistical Physics, 165, 6, 1023-1059 (coauthors A. Elgart, M.Shcherbina).

 

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