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arXiv · 1103.0530

Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with "outflow systems"

Péter Koltai
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Abstract

In this technical report the $C_0$ semigroup of Frobenius-Perron operators on $L^1(X)$ 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 $L^1(X)$ pointwise to the Frobenius-Perron operator of the system.

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Péter Koltai. 2011-03-02. Discrete infinitesimal generator of the Frobenius-Perron operator semigroup associated with "outflow systems". https://arxiv.org/abs/1103.0530

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