Geodesic
Geometry of Markov systems and codimension one foliations
Andrzej Bi/s1 ; Mariusz Urba/nski2
1 Faculty of Mathematics and Computer Science University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
2 Department of Mathematics University of North Texas P.O. Box 311430 Denton, TX 76203-1430, U.S.A.
Annales Polonici Mathematici, Tome 94 (2008) no. 2, pp. 187-196.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the theory of graph directed Markov systems can be used to study exceptional minimal sets of some foliated manifolds. A $C^1$ smooth embedding of a contracting or parabolic Markov system into the holonomy pseudogroup of a codimension one foliation allows us to describe in detail the $h$-dimensional Hausdorff and packing measures of the intersection of a complete transversal with exceptional minimal sets.
DOI : 10.4064/ap94-2-5
Keywords: theory graph directed markov systems study exceptional minimal sets foliated manifolds smooth embedding contracting parabolic markov system holonomy pseudogroup codimension foliation allows describe detail h dimensional hausdorff packing measures intersection complete transversal exceptional minimal sets

Andrzej Bi/s 1 ; Mariusz Urba/nski 2

1 Faculty of Mathematics and Computer Science University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
2 Department of Mathematics University of North Texas P.O. Box 311430 Denton, TX 76203-1430, U.S.A. 
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Andrzej Bi/s; Mariusz Urba/nski. Geometry of Markov systems and codimension one foliations. Annales Polonici Mathematici, Tome 94 (2008) no. 2, pp. 187-196. doi : 10.4064/ap94-2-5. http://geodesic.mathdoc.fr/articles/10.4064/ap94-2-5/

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