TY - JOUR
T1 - The Tracy-Widom law for some sparse random matrices
AU - Sodin, Sasha
N1 - Funding Information:
Supported in part by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities and by the ISF.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
KW - Airy point process
KW - Edge of the spectrum
KW - Random graph
KW - Tracy-Widom distribution
UR - http://www.scopus.com/inward/record.url?scp=70350418110&partnerID=8YFLogxK
U2 - 10.1007/s10955-009-9813-2
DO - 10.1007/s10955-009-9813-2
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AN - SCOPUS:70350418110
VL - 136
SP - 834
EP - 841
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 5
ER -