Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with "outflow systems"
Abstract
In this technical report the C0 semigroup of Frobenius-Perron operators on L1(X) is considered, where the underlying dynamical system is such that trajectories may leave the state space X and terminate. We introduce a discrete infinitesimal generator and show, that the operator semigroup generated by this discrete generator converges in L1(X) pointwise to the Frobenius-Perron operator of the system.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.