| Título: | Tesselation of a triangle by repeated barycentric subdivision |
| Autores: | Hough, Robert D; Stanford University |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Barycentric subdivision; random walk on a group 60D05; 60J10; 52B60; 52C45 |
| Descripción: | 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. |
| Idioma: | No aplica |
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