The Tracy--Widom law for some sparse random matrices

Details The Tracy--Widom law for some sparse random matrices The Tracy--Widom law for some sparse random matrices

2009-03-25

arxiv.org/abs/0903.4295v5

J. Stat. Phys. 136 (2009), no. 5, 834-841

Physics

Mathematical Physics

11 pp; fixed erroneous Remark 3 in Section 6

Scientific paper

10.1007/s10955-009-9813-2

Consider the random matrix obtained from the adjacency matrix of a random
d-regular graph by multiplying every entry by a random sign. The largest
eigenvalue converges, after proper scaling, to the Tracy--Widom distribution.

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