Results for “Kolmogorov”

…many points fall into each particular box of the grid, the method is called the Sinai-Ruelle-Bowen or SRB measure after Kolmogorov’s students and followers, the Russian, Ya Sinai, the Belgian Frenchmen, David Ruelle and the American, Rufus Bowen. Similar to the SRB measure, the...

…he probabilistic (eigenvector) “dual” of hr. hy computed in this way serves as a useful quantity, hy called by some the Kolmogorov entropy in comparisons of control and experimental conditions of the same sample lengths. Systematic decreases in hw (“Kolmogorov entropy”) have been...

…istical context for these qualitative differential systems was inspired by the Russian mathematician, Andrei Nikolaevic Kolmogorov. In his now famous foundational talk about the stability of classical mechanical systems in the final session of the 1954 International Congress of M...

Andrei Nikolaevic Kolmogorov. In his now

…bability, pj , then - X pj log p; represents the metric entropy, hu. hy was first described in the dynamical context by Kolmogorov (1958;1959). The sum having a —1 prefactor converts the negative log of < 1 to a meaningful positive value in the expression. hy is maximal for the e...

…sensitivity to initial conditions and characteristic geometries and measures. It was the Russian mathematicians, A.N. Kolmogorov (1957), Sinai (1959) and V.I. Arnold (Arnold and Avez, 1968), the French mathematicians, Rene Thom (1972) and David Ruelle (1978) and the U.C. Berkel...

…olve Markoff partitions and matrices which are also the generic operators of formal probability theory (Sullivan, 1979; Kolmogorov, 1950). For example, N-dimensional non-linear Markoff processes can be shown to capture the dynamics of multidimensional neurobiological processes su...

…one may bias the distribution of environments within the latter by considering different Turing machines underlying the Kolmogorov complexity. However this is not a general equivalence because the Solomonoff-Levin measure intrinsically HOUSE_OVERSIGHT_013054