English

Convex lattice polygonal lines with a constrained number of vertices

Probability 2016-06-17 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1606.05062,
  title  = {Convex lattice polygonal lines with a constrained number of vertices},
  author = {Julien Bureaux and Nathanaël Enriquez},
  journal= {arXiv preprint arXiv:1606.05062},
  year   = {2016}
}