18 citations · 79 across the 15 of their papers we have counts for
17 papers
-Frequently Hypercyclic Operators
Tom Carroll, Clifford Gilmore
The concept of -frequent hypercyclicity is introduced in order to provide a refined form of frequent hypercyclicity. This is achieved by replacing the denominator in the definit…
An enhanced uncertainty principle for the Vaserstein distance
Tom Carroll, Xavier Massaneda, Joaquim Ortega-Cerdà
We improve some recent results of Sagiv and Steinerberger that quantify the following uncertainty principle: for a function with mean zero, either the size of the zero set of t…
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…
On the torsion function with mixed boundary conditions
Michiel van den Berg, Tom Carroll
Let be a non-empty open subset of , with boundary , with finite Lebesgue measure , and which satisfies a parabolic Harnack principle. Let be…
On the rate of change of the best constant in the Sobolev inequality
Tom Carroll, Mouhamed Moustapha Fall, Jesse Ratzkin
We estimate the rate of change of the best constant in the Sobolev inequality of a Euclidean domain which moves outward. Along the way we prove an inequality which reverses the usu…
Equidistribution and ensembles
T. Carroll, J. Marzo, X. Massaneda +1
We find the precise rate at which the empirical measure associated to a -ensemble converges to its limiting measure. In our setting the -ensemble is a random point process on…