Research Profile

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

 ProjectFunding
Body
Start DateEnd DateAward
Probabilistic Approaches to Linear DynamicsIrish Research Council01-JAN-1931-DEC-20€91,846.00

Publications

Peer Reviewed Journals

 YearPublication
(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]
(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]

Articles

 YearPublication
(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: Articles [DOI] [Details]

PhD Thesis

 YearPublication
(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

 YearPublication
(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

 YearTitleAwarding Body
2018Government of Ireland Postdoctoral Fellowship Irish Research Council
2018Postdoctoral Scholarship The Magnus Ehrnrooth Foundation, Finland
2016Scholarship Doctoral Programme in Mathematics and Statistics, University of Helsinki, Finland
2015Graduate Student Scholarship The Magnus Ehrnrooth Foundation, Finland
2013Graduate Student Scholarship The Magnus Ehrnrooth Foundation, Finland

Education

 YearInstitutionQualificationSubject
2017University of Helsinki PhDMathematics
2014University of Helsinki Licentiate of Philosophy (Science)Mathematics

Contact details

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School of Mathematical Sciences

Eolaíochtaí Matamaiticiúla

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