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Tesselation of a triangle by repeated barycentric subdivision
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Robert D Hough, Stanford University
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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 $SL_2(bR)$ 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.
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Full text: PDF
Pages: 270-277
Published on: July 5, 2009
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Bibliography
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Electronic Communications in Probability. ISSN: 1083-589X |
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