Some limit theorems for random matrices and for some
large dynamical systems
S. Geman and M. Miller. Computer simulation
of brainstem respiratory activity. J. Appl. Physiology, 41, 1976, 931-938. (pdf)
S. Geman. Some averaging and stability
results for random differential equations.
S. Geman. Application of stochastic
averaging to learning systems. Brain Theory Newsletter, 3, 1979, 69-71.
S. Geman. A method of averaging for random
differential equations with applications to stability and stochastic
approximations. In: Approximate Solutions of Random Equations.
S. Geman. A limit theorem for the norm of
random matrices. Ann. Prob., 8, 1980, 252-261.
(pdf)
S. Geman. The law of large numbers in neural
modeling. In: Mathematical Psychology and Psychophysiology. Ed. by S. Grossberg,
S. Geman and C.-R. Hwang. A chaos hypothesis
for some large systems of random equations. Prob. Theory & Related Fields
(formally Z. Wahrschein. verw. Gebiete), 60, 1982, 291-314.
S. Geman. Almost sure stable oscillations in
a large system of randomly coupled equations.
S. Geman. The spectral radius of large
random matrices. Ann. Prob., 14, 1986,
1318-1328. (pdf)