Geodesic
Geometry of Markov systems and codimension one foliations
Andrzej Bi/s1 ; Mariusz Urba/nski2
1Faculty of Mathematics and Computer Science University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
2Department 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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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