Joe Thomas

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math.SP2020

Delocalisation of eigenfunctions on large genus random surfaces

Joe Thomas

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 th…

math.SP2019

Short geodesic loops and $L^{p}$ norms of eigenfunctions on large genus random surfaces

Clifford Gilmore, Etienne Le Masson, Tuomas Sahlsten +1

We give upper bounds for $L^{p}$ norms of eigenfunctions of the Laplacian on compact hyperbolic surfaces in terms of a parameter depending on the growth rate of the number of short g…

Delocalisation of eigenfunctions on large genus random surfaces

Short geodesic loops and Lp norms of eigenfunctions on large genus random surfaces

Short geodesic loops and $L^{p}$ norms of eigenfunctions on large genus random surfaces