CON'l'EN'l'S
Preface
xiii
I. Baaic theory of producta of rapdoa matricea
A. Overview a:
Limit theorem• for product! of raDdoa matricea: a compariaon of two
pointt of view
10SEPB C. WATKINS 5
Oseledec'a multiplicative eraodic theorem: a proof
'11IB
EDITORS 23
Products of random matrices: converaence theorems
Y. GUIVARC'B AND A. llAUGI 31
Examples of application of Oseledec'a theorem. I Dimenaion and dynamical
systems. II Poisson boundary of random walta on discrete aroups of
matricea
FRAN~IS
LEDKAPPIER 55
B. Perturbation theory:
Multiplicative eraodic theorem• for random diffeomorphiama
YURI KIFER
Furstenbera-Kesten resulta: asymptotic analyais
STEVEN PINCUS
67
79
Stability of exponential arowth rate for randomly perturbed random matrix
producta via Markov-chain araumenta
ERIC V. SLUD 87
Representation, positivity and expanaion of Lyapuaov exponenta for
linear stochaatic syatems
VOLKER WmSTUTZ 93
C. Theory of matrix producta:
Oa
uaifo:r:m contraction aenerated by poaitive matrices
MACIEl W01TI:OWSKI
D. Connections with spectral theory:
Lyapunov exponent• for some producta of random matrices: exact
expreaaions aDd asymptotic diatributiona
CHARLES M. NEWMAN
II. Spectral th!ory of rapdom matricea
A brief survey on the apectral radiua aDd the spectral diatribution of
larae random matricea with i.i.d. entriea
109
121
CBII-RUEY HWANG 145
ix
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