  We investigate the interrelation between the distribution of stochastic
fluctuations of independent random variables in probability theory and the
distribution of time averages in deterministic Anosov C-systems. On the one
hand, in probability theory, our interest dwells on three basic topics: the
laws of large numbers, the central limit theorem and the law of the iterated
logarithm for sequences of real-valued random variables. On the other hand we
have chaotic, uniformly hyperbolic Anosov C-systems defined on tori which have
mixing of all orders and nonzero Kolmogorov entropy. These extraordinary
ergodic properties of deterministic Anosov C-systems ensure that the above
classical limit theorems for sums of independent random variables in
probability theory are fulfilled by the time averages for the sequences
generated by the C-systems. The MIXMAX generator of pseudorandom numbers
represents the C-system for which the classical limit theorems are fulfilled.
