2 papers
math.SP2019
Short geodesic loops and norms of eigenfunctions on large genus random surfaces
Clifford Gilmore, Etienne Le Masson, Tuomas Sahlsten +1
We give upper bounds for 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…
math.FA2019
Weighted composition operators on Fock spaces and their dynamics
Tom Carroll, Clifford Gilmore
Bounded weighted composition operators, as well as compact weighted composition operators, on Fock spaces have been characterised. This characterisation is refined to the extent th…