Everything is illuminated

  title={Everything is illuminated},
  author={Samuel Leli{\`e}vre and Thierry Monteil and Barak Weiss},
We study geometrical properties of translation surfaces: the finite blocking property, bounded blocking property, and illumination properties. These are elementary properties which can be fruitfully studied using the dynamical behavior of the SL(2,R)-action on the moduli space of translation surfaces. We characterize surfaces with the finite blocking property and bounded blocking property, completing work of the second-named author [Mon05]. Concerning the illumination problem, we also extend… Expand

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Finite blocking property versus pure periodicity
  • T. Monteil
  • Mathematics
  • Ergodic Theory and Dynamical Systems
  • 2009
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