Final Activity Report Summary - EVENT DYNAMICS (Dynamics of Nonexpensive Maps: Theory and Applications to Discrete Event Systems)
From a theoretical point of view much insight has been gained. In particular, we have further developed a non-linear version of the classical Perron-Frobenius theory. Perron-Frobenius theory was developed by Perron and Frobenius at the beginning of twentieth century and encompasses positive linear dynamical systems. The non-linear version of this theory provides the underlying framework for the study of the behaviour of discrete event systems. During the project the Marie-Curie fellow started, in collaboration with Roger Nussbaum, to write a research monograph on non-linear Perron-Frobenius theory, which will be published by Cambridge University Press.