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MiS Preprint
4/2015
Operator-theoretic identification of closed sub-systems of dynamical systems
Oliver Pfante and Nihat Ay
Abstract
A central problem of dynamical systems theory is to identify a reduced description of the dynamical process one can deal easier. In this paper we present a systematic method of identifying those closed sub-systems of a given discrete time dynamical system in the frame of operator theory. It is shown that this problem is closely related to finding invariant sigma algebras of the dynamics.