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Matrix models in statistical mechanics and quantum field theory, recent examples and problems
No full text
Real symmetric random matrices and path counting
No full textExact evaluation of is here performed for real
symmetric matrices S of arbitrary order n, up to some integer p, where the
matrix entries are independent identically distributed random variables,
with an arbitrary probability distribution. These expectations are
polynomials in the moments of the matrix entries; they provide useful
information on the spectral density of the ensemble in the large n limit.
They also are a straightforward tool to examine a variety of rescalings of
the entries in the large n limit
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