@article{ECP1471,
author = {Robert Hough},
title = {Tesselation of a triangle by repeated barycentric subdivision},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {14},
year = {2009},
keywords = {Barycentric subdivision; random walk on a group},
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.},
pages = {no. 27, 270-277},
issn = {1083-589X},
doi = {10.1214/ECP.v14-1471},
url = {http://ecp.ejpecp.org/article/view/1471}}