@article{JMAG_2005_1_1_a1,
author = {V. V. Vengerovsky},
title = {Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {35--52},
year = {2005},
volume = {1},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2005_1_1_a1/}
}
TY - JOUR AU - V. V. Vengerovsky TI - Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2005 SP - 35 EP - 52 VL - 1 IS - 1 UR - http://geodesic.mathdoc.fr/item/JMAG_2005_1_1_a1/ LA - ru ID - JMAG_2005_1_1_a1 ER -
%0 Journal Article %A V. V. Vengerovsky %T Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random %J Žurnal matematičeskoj fiziki, analiza, geometrii %D 2005 %P 35-52 %V 1 %N 1 %U http://geodesic.mathdoc.fr/item/JMAG_2005_1_1_a1/ %G ru %F JMAG_2005_1_1_a1
V. V. Vengerovsky. Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 1 (2005) no. 1, pp. 35-52. http://geodesic.mathdoc.fr/item/JMAG_2005_1_1_a1/
[1] E. Wigner, “Characteristic vectors of bordered matrices with infinite dimensions”, Ann. Math., 62 (1955), 548–564 | DOI | MR | Zbl
[2] M. L. Mehta, Random Matrices, Acad. Press, New York, 1991 | MR | Zbl
[3] L. A. Pastur, “Random matrices as paradigm”, Math. Physics, eds. A. Fokas, A. Grigoryan, T. Kibble, B. Zegarlinski, World Scientific, Singapore, 2000
[4] A. D. Mirlin, Y. V. Fyodorov, “Universality of the level correlation functions of sparse random matrices”, J. Phys. A: Math. Jen., 24 (1991), 2273–2286 | DOI | MR | Zbl
[5] Y. V. Fyodorov, A. D. Mirlin, “Strong eigenfunction correlations near the Anderson localization transition”, Phys. Rev. B, 55 (1997), R16001–R16004 | DOI
[6] M. Cvetkovich, M. Doob, H. Sachs, Spectra of Graphs. Acad. Press, New York, 1980 | MR
[7] M. Bauer, O. Golinelli, “Random incidence matrices: moments and spectral density”, J. Stat. Phys., 103 (2001), 301–336 | DOI | MR
[8] O. Khorunzhy, M. Shcherbina, V. Vengerovsky, “Eigenvalue distribution of large weighted random graphs”, J. Math. Phys., 45 (2004), 1648–1672 | DOI | MR | Zbl
[9] R. K. Chung Fan, Spectra Graph Theory, AMS, Providence, RI, 1997 | MR | Zbl
[10] J. Jonasson, “On the cover time for random walks on random graphs”, Combin. Probab. Comput., 7 (1998), 265–279 | DOI | MR | Zbl
[11] D. Y. Peng, “The average return time of random walks in random graphs”, J. Math. (Wuhan), 11 (1991), 140–144 | MR | Zbl
[12] M. Abramowitz, I. Stegun, Handbook of Mathematical Functions, Dover Publ., New York, 1972
[13] A. N. Shiryaev, Probability, Second Edition, Nauka, Moscow, 1989 | MR