Alex Wright
Published 2015-04-30Version 1
This short expository note gives an elementary introduction to the study of dynamics on certain moduli spaces, and in particular the recent breakthrough result of Eskin, Mirzakhani, and Mohammadi. We also discuss the context and applications of this result, and connections to other areas of mathematics such as algebraic geometry, Teichmuller theory, and ergodic theory on homogeneous spaces.
Comments: Will be submitted to the Bulletin of the AMS. Comments on exposition and clarity welcome!
Illumination in Rational Billiards
Digit sequences of rational billiards on tables which tile $\mathbb{R}^2$
Classification and moduli spaces of dicritical singularities
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