Geodesic
Regular potentials of additive functionals in semidynamical systems
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 3, pp. 555-572
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We consider a semidynamical system $(X,\Cal B,\Phi ,w)$. We introduce the cone $\Bbb A$ of continuous additive functionals defined on $X$ and the cone $\Cal P$ of regular potentials. We define an order relation ``$\leq $'' on $\Bbb A$ and a specific order ``$\prec $'' on $\Cal P$. We will investigate the properties of $\Bbb A$ and $\Cal P$ and we will establish the relationship between the two cones.
We consider a semidynamical system $(X,\Cal B,\Phi ,w)$. We introduce the cone $\Bbb A$ of continuous additive functionals defined on $X$ and the cone $\Cal P$ of regular potentials. We define an order relation ``$\leq $'' on $\Bbb A$ and a specific order ``$\prec $'' on $\Cal P$. We will investigate the properties of $\Bbb A$ and $\Cal P$ and we will establish the relationship between the two cones.
Classification : 31D05, 37A60, 58F98, 60J45, 60J55
Keywords: additive functional; excessive functions; regular potential; semidynamical system; specific order 
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     title = {Regular potentials of additive functionals in semidynamical systems},
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Rhouma, Nedra Belhaj; Bezzarga, Mounir. Regular potentials of additive functionals in semidynamical systems. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 3, pp. 555-572. http://geodesic.mathdoc.fr/item/CMUC_2004_45_3_a16/