Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with "outflow systems"
Dynamical Systems
2011-03-03 v1
Abstract
In this technical report the semigroup of Frobenius-Perron operators on is considered, where the underlying dynamical system is such that trajectories may leave the state space and terminate. We introduce a discrete infinitesimal generator and show, that the operator semigroup generated by this discrete generator converges in pointwise to the Frobenius-Perron operator of the system.
Keywords
Cite
@article{arxiv.1103.0530,
title = {Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with "outflow systems"},
author = {Péter Koltai},
journal= {arXiv preprint arXiv:1103.0530},
year = {2011}
}