MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION
2004 ◽
Vol 07
(03)
◽
pp. 419-435
◽
Keyword(s):
The adjacency matrix of a comb graph is decomposed into a sum of monotone independent random variables with respect to the vacuum state. The vacuum spectral distribution is shown to be asymptotically the arcsine law as a consequence of the monotone central limit theorem. As an example the comb lattice is studied with explicit calculation.
Keyword(s):
2003 ◽
Vol 361
(1813)
◽
pp. 2699-2713
◽
2003 ◽
Vol 5
(2)
◽
pp. S119-S123
◽
Keyword(s):
Keyword(s):
2001 ◽
Vol 2
(3)
◽
pp. 407-417
Keyword(s):