DETERMINANTS OF LAPLACIANS ON RANDOM HYPERBOLIC SURFACES
Résumé
For sequences (X j) of random closed hyperbolic surfaces with volume Vol(X j) tending to infinity, we prove that the regularized determinant of the Laplacian det(∆ X j) satisfies for all ǫ > 0 and with high probability as j → +∞, log det(∆ X j) Vol(X j) ∈ [E − ǫ, E + ǫ], where E > 0 is a universal constant. This result holds for various models of random surfaces, including the Weil-Petersson model.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)