Geodesic
Causality and Stochastic Realization Problem
Publications de l'Institut Mathématique, _N_S_45 (1989) no. 59, p. 203
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The basic idea is to relate some concepts of causality to the stohastic realization problem. Especially, a new definition of causality ``F$^1$ is a cause of F$^2$ within F$^3$'', which is a generalization of a corresponding definition from [3], is given. The problem of determining possible states of the stohastic dynamic system $S_1$ with known outputs, having a certain causality relationship with another stohastic dynamic system $S_2$ is considered. More precisely, problems formulated in [1] are investigated in the sense of a new definition of cuasality.
Classification : 93E10 93B15
Keywords: random process, Hilbert space, causality, stohastic dynamic system, realization 
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     author = {Ljiljana Petrovi\'c},
     title = {Causality and {Stochastic} {Realization} {Problem}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {203 },
     year = {1989},
     volume = {_N_S_45},
     number = {59},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a27/}
}
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Ljiljana Petrović. Causality and Stochastic Realization Problem. Publications de l'Institut Mathématique, _N_S_45 (1989) no. 59, p. 203 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a27/