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- Clifford Gilmore
Biography
Cliff is an Irish Reserch Council funded Government of Ireland Postdoctoral Fellow. His research interests are in the areas of linear dynamics and quantum chaos.
Research Interests
I am currently conducting research in the area of linear dynamics. Questions I have considered include the properties of distributionally chaotic harmonic functions, the growth of frequently hypercyclic harmonic functions and the hypercyclic properties of classes of elementary operators in the setting of separable Banach ideals.
I am also interested in quantum chaos, in particular I have investigated L^p bounds for eigenfunctions of the Laplacian on hyperbolic surfaces.
Research Grants
| | Project | Funding
Body | Start Date | End Date | Award |
|---|
| Probabilistic Approaches to Linear Dynamics | Irish Research Council | 01-JAN-19 | 31-DEC-20 | €91,846.00 |
Publications
Peer Reviewed Journals
| | Year | Publication |
|---|
| (2019) | 'Dynamics of Generalised Derivations and Elementary Operators'
Gilmore, C (2019) 'Dynamics of Generalised Derivations and Elementary Operators'. Complex Analysis And Operator Theory, 13 :257-274 [DOI] [Details] |
| (2019) | 'Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator'
Clifford Gilmore, Eero Saksman, Hans-Olav Tylli (2019) 'Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator'. Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics, 149 (6):1577-1594 [DOI] [Details] |
| (2017) | 'Hypercyclicity Properties of Commutator Maps'
Gilmore, C;Saksman, E;Tylli, HO (2017) 'Hypercyclicity Properties of Commutator Maps'. Integral Equations and Operator Theory, 87 :139-155 [DOI] [Details] |
PhD Thesis
| | Year | Publication |
|---|
| (2017) | Hypercyclicity of derivations and optimal growth of frequently hypercyclic harmonic functions.
Clifford Gilmore (2017) Hypercyclicity of derivations and optimal growth of frequently hypercyclic harmonic functions. University of Helsinki: PhD Thesis [Details] |
Thesis/Dissertation
| | Year | Publication |
|---|
| (2014) | Dynamics of the commutator operator.
Clifford Gilmore (2014) Dynamics of the commutator operator. University of Helsinki: Thesis/Dissertation [Details] |
Professional Activities
Honours and Awards
| | Year | Title | Awarding Body |
|---|
| 2018 | Government of Ireland Postdoctoral Fellowship | Irish Research Council |
| 2018 | Postdoctoral Scholarship | The Magnus Ehrnrooth Foundation, Finland |
| 2016 | Scholarship | Doctoral Programme in Mathematics and Statistics, University of Helsinki, Finland |
| 2015 | Graduate Student Scholarship | The Magnus Ehrnrooth Foundation, Finland |
| 2013 | Graduate Student Scholarship | The Magnus Ehrnrooth Foundation, Finland |
Education
| | Year | Institution | Qualification | Subject |
|---|
| 2017 | University of Helsinki | PhD | Mathematics |
| 2014 | University of Helsinki | Licentiate of Philosophy (Science) | Mathematics |
