On asymptotic properties of certain orthogonal polynomials
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 3, pp. 263-277
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We compute the asymptotic distribution of zeros and the weak limit of orthogonal polynomials on the whole line whose weight contains a large parameter in the exponent. The techniques used and the results are motivated by recent studies on the eigenvalue statistics of random matrices.
@article{JMAG_1997_4_3_a0,
author = {S. Albeverio and L. A. Pastur and M. V. Shcherbina},
title = {On asymptotic properties of certain orthogonal polynomials},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {263--277},
year = {1997},
volume = {4},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a0/}
}
TY - JOUR AU - S. Albeverio AU - L. A. Pastur AU - M. V. Shcherbina TI - On asymptotic properties of certain orthogonal polynomials JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 1997 SP - 263 EP - 277 VL - 4 IS - 3 UR - http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a0/ LA - en ID - JMAG_1997_4_3_a0 ER -
S. Albeverio; L. A. Pastur; M. V. Shcherbina. On asymptotic properties of certain orthogonal polynomials. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 3, pp. 263-277. http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a0/