A Lyapunov function for Glauber dynamics on lattice triangulations

@article{Stauffer2015ALF,
  title={A Lyapunov function for Glauber dynamics on lattice triangulations},
  author={Alexandre Stauffer},
  journal={CoRR},
  year={2015},
  volume={abs/1504.07980}
}
We study random triangulations of the integer points [0, n] ∩ Z, where each triangulation σ has probability measure λ|σ| with |σ| denoting the sum of the length of the edges in σ. Such triangulations are called lattice triangulations. We construct a height function on lattice triangulations and prove that, in the whole subcritical regime λ < 1, the function… CONTINUE READING