Corpus ID: 28198679

Unbounded orbits for the Plaid Model

@article{Schwartz2015UnboundedOF,
  title={Unbounded orbits for the Plaid Model},
  author={R. Schwartz},
  journal={arXiv: Dynamical Systems},
  year={2015}
}
  • R. Schwartz
  • Published 2015
  • Mathematics
  • arXiv: Dynamical Systems
This paper is a sequel to my paper "Introducing the Plaid Model". In this paper it is shown that the plaid model has unbounded polygonal paths for every irrational parameter. This result parallels my result that outer billiards on kites has unbounded orbits for every irrational parameter 

Figures from this paper

The plaid model and outer billiards on kites
This paper is the third in a series which explores a combinatorial method for generating lattice polygons in the plane. I call this method the plaid model. In this paper I prove the main result IExpand

References

Renormalization of Polygon Exchange Transformations arising from Corner Percolation
  • Invent. Math
  • 2013