Abstract
For the concept of intrinsic stochasticity as introduced by Prigogineet al., a general mathematical approach is outlined. It usesW *-algebras. A with a trace τ of dynamical observables, identifying the state space with ℍ=L 2(A,τ). The main result is that the incorporation of Lyapunov processes in ℍ leads necessarily to the larger algebra ℒ(ℍ). This induces a strictly ascending chain of algebras of observables of increasing complexity.
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Braunss, G. Intrinsic stochasticity of dynamical systems. Acta Appl Math 3, 1–21 (1985). https://doi.org/10.1007/BF01438264
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DOI: https://doi.org/10.1007/BF01438264