Area distribution and scaling function for punctured polygons.

Richard, Christoph; Jensen, Iwan; Guttmann, Anthony J.

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Complexity and growth for polygonal billiards

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We establish a relationship between the word complexity and the number of generalized diagonals for a polygonal billiard. We conclude that in the rational case the complexity function has cubic upper and lower bounds. In the tiling case the complexity has cubic asymptotic growth.