MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Operator-theoretic identification of closed sub-systems of dynamical systems

Oliver Pfante and Nihat Ay


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.

MSC Codes:
60Jxx, 37-XX, 47Axx
closed sub-dynamics, sigma algebras, operator theory

Related publications

2015 Repository Open Access
Oliver Pfante and Nihat Ay

Operator-theoretic identification of closed sub-systems of dynamical systems

In: An interdisciplinary journal of discontinuity, nonlinearity, and complexity, 4 (2015) 1, pp. 91-109