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 (www.arxiv.org) 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.
On the notion of complexity
We propose a new dynamic notion of complexity that can be used as a quantitative measure for the categorizing capacity of gradient type and other dynamical systems. Applications to the evaluation of the complexity of texts and cognitive systems are discussed.