X
CONTENTS
Eigenvalues and eigenvectors of large dimensional sample covariance
matrices
JACK W. SILVERSTEIN 153
Spectra for large dimensional random matrices
Y.
Q. YIN
AND Z. D.
BAI 161
III. Applications to computer science, probability and statistics of products
of random matrices
A. Applications to computer science and statistics:
Products of random matrices and computer image generation
PERSI DIACONIS AND MEHRDAD SHAHSHAHANI
173
Products of random matrices as they arise in the study of random walks on
groups
PERSI DIACONIS AND blEHRDAD SHAHSHAHANI 183
B.
Applications to Markov chains in random environments:
On products of random stochastic matrices
ROBERT COGBURN 199
Convol~tion
sequences of measures on the semigroup of stochastic Dlatrices
M. ROSENBLATT 215
Random walks on semigroups
TZE-CHIEN SUN
C. Other applications to probability theory:
221
A
note on random systems with complete connections and their applications
to products of random matrices
THOMAS KAIJSER
243
Using random matrices to give recurrence and transience criteria for
random walk in
a
random environment
ERIC
KEY
255
A
contraction principle for certain
~larkov
chains and its applications
G~RARD
LETAC
263
IV. Scientific applications of random matrices and their products
Lyapounov exponents and spectra for one-diffiensional random Schroedinger
operators
S.
KOTANI
277
The density of states of random Schroedinger operators
ROBERT S. MAIER
287
Random matrices in nuclear physics and number theory
M. L.
MEliTA 295
Random matrices and waves in random media
GEORGE PAPANICOLAOU
311
Demographic applications of random matrix products
S. nJLJ APURKAR 319
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