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Tesselation of a triangle by repeated barycentric subdivision


 
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1. Title Title of document Tesselation of a triangle by repeated barycentric subdivision
 
2. Creator Author's name, affiliation, country Robert D Hough; Stanford University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Barycentric subdivision; random walk on a group
 
3. Subject Subject classification 60D05; 60J10; 52B60; 52C45
 
4. Description Abstract Under iterated barycentric subdivision of a triangle, most triangles become flat in the sense that the largest angle tends to $\pi$. By analyzing a random walk on $SL_2(\mathbb{R})$ we give asymptotics with explicit constants for the number of flat triangles and the degree of flatness at a given stage of subdivision. In particular, we prove analytical bounds for the upper Lyapunov constant of the walk.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-07-05
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1471
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1471
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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