Asymptotics of convex lattice polygonal lines with a constrained number of vertices

@article{Bureaux2016AsymptoticsOC,
  title={Asymptotics of convex lattice polygonal lines with a constrained number of vertices},
  author={Julien Bureaux and Nathanael Enriquez},
  journal={Israel Journal of Mathematics},
  year={2016},
  volume={222},
  pages={515-549}
}
A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes it possible to answer an open question of Vershik regarding the existence of a limit shape when the number of vertices is constrained. 

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