# Local properties of the random Delaunay triangulation model and topological 2D gravity

@article{Charbonnier2017LocalPO, title={Local properties of the random Delaunay triangulation model and topological 2D gravity}, author={S'everin Charbonnier and Franccois David and Bertrand Eynard}, journal={arXiv: Mathematical Physics}, year={2017} }

Delaunay triangulations provide a bijection between a set of $N+3$ points in the complex plane, and the set of triangulations with given circumcircle intersection angles. The uniform Lebesgue measure on these angles translates into a K\"ahler measure for Delaunay triangulations, or equivalently on the moduli space $\mathcal M_{0,N+3}$ of genus zero Riemann surfaces with $N+3$ marked points. We study the properties of this measure. First we relate it to the topological Weil-Petersson symplectic…

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