Geodesic
Actions of Finitely Generated Groups and Semigroups on a Plane by Means of Isometries
Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 523-548 
Ya. B. Vorobets. Actions of Finitely Generated Groups and Semigroups on a Plane by Means of Isometries. Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 523-548. http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a3/
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     author = {Ya. B. Vorobets},
     title = {Actions of {Finitely} {Generated} {Groups} and {Semigroups} on a {Plane} by {Means} of {Isometries}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of uniform distribution of orbits on a plane for actions of finitely generated groups of isometries is studied. A criterion for every orbit to be dense is presented. The asymptotics for the frequency with which an orbit hits a compact set is obtained.

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