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Eigenvalue interlacing and weight parameters of graphs
Eigenvalue interlacing weight parameters of graphs Combinatorics
2012/6/15
Eigenvalue interlacing is a versatile technique for deriving results in algebraic combinatorics. In particular, it has been successfully used for proving a number of results about the relation between...
The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source, part I
largest eigenvalue of real symmetric Hermitian and Hermitian self-dual random matrix rank one external source
2011/2/22
We consider the limiting location and limiting distribution of the largest eigenvalue in real
symmetric (β = 1), Hermitian (β = 2), and Hermitian self-dual (β = 4) random matrix models
with rank 1 e...
Measuring maximal eigenvalue distribution of Wishart random matrices with coupled lasers
maximal eigenvalue distribution Wishart matrices coupled lasers
2011/3/2
We determined the probability distribution of the combined output power from twenty ve cou-
pled ber lasers and show that it agrees well with the Tracy-Widom and Majumdar-Vergassola
distributions ...
Large deviations of the maximal eigenvalue of random matrices
Large deviations maximal eigenvalue random matrices
2010/12/3
We present detailed computations of the ’at least finite’ terms (three dominant orders) of the free energy in a one-cut matrix model with a hard edge a, in β-ensembles,with any polynomial potential. β...