Delocalisation of eigenfunctions on large genus random surfaces
(2022)
Journal Article
Thomas, J. (2022). Delocalisation of eigenfunctions on large genus random surfaces. Israel Journal of Mathematics, 250(1), 53 -83. https://doi.org/10.1007/s11856-022-2327-1
We prove that eigenfunctions of the Laplacian on a compact hyperbolic surface delocalise in terms of a geometric parameter dependent upon the number of short closed geodesics on the surface. In particular, we show that an L2 normalised eigenfunction... Read More about Delocalisation of eigenfunctions on large genus random surfaces.