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Regular potentials of additive functionals in semidynamical systems

Nedra Belhaj RhoumaMounir Bezzarga — 2004

Commentationes Mathematicae Universitatis Carolinae

We consider a semidynamical system ( X , , Φ , w ) . We introduce the cone 𝔸 of continuous additive functionals defined on X and the cone 𝒫 of regular potentials. We define an order relation “ ” on 𝔸 and a specific order “ ” on 𝒫 . We will investigate the properties of 𝔸 and 𝒫 and we will establish the relationship between the two cones.

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