Mathematical surveys about translation surfaces
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A. Wright
"Translation surfaces and their orbit closures: An introduction for a broad audience"
EMS Surv. Math. Sci. 2015
StonyBrookSurvey.pdf (from Alex webpage)
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A. Wright
"From rational billiards to dynamics on moduli spaces"
Bull. Amer. Math. Soc. 2016
BilliardsToModuli.pdf (from Alex webpage)
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A. Zorich
"Flat surfaces"
in Frontiers in number theory, physics, and geometry I. On random matrices, zeta functions, and dynamical systems
edited by P. Carter et al. (2003)
arXiv:math/0609392
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H. Masur and S. Tabachnikov
"Rational billiards and flat structures"
Chapter 13 in Handbook of dynamical systems volume 1A
edited by B. Hasselblatt and A. Katok
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C. Matheus and G. Forni
"Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards"
J. Mod. Dyn. 8, No. 3-4, 271-436 (2014).
more dynamical, not really relevant to the polygon project
J.-C. Yoccoz
Homogeneous flows moduli spaces and arithmetic
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L. Mosher
Train track expansions of measured foliations
Specialized mathematical references
Libraries relevant for the project