Pair dependent linear statistics for CβE
Keyword(s):
We study the limiting distribution of a pair counting statistics of the form [Formula: see text] for the circular [Formula: see text]-ensemble (C[Formula: see text]E) of random matrices for sufficiently smooth test function [Formula: see text] and [Formula: see text] For [Formula: see text] and [Formula: see text] our results are inspired by a classical result of Montgomery on pair correlation of zeros of Riemann zeta function.
2000 ◽
Vol 80
(1)
◽
pp. 31-49
◽
Keyword(s):
Keyword(s):
Keyword(s):
1988 ◽
Vol 1988
(385)
◽
pp. 24-40
◽
Keyword(s):
2012 ◽
Vol 395
(1)
◽
pp. 275-283
Keyword(s):