Research

Research Statement:

researchstatement2018

Curriculum Vitae:

curriculumvitae2018

Recent Talk:

Here is a recent talk that I presented at the special session on Fractal Geometry at the Canadian Mathematical Society Winter Meetings in Niagara Falls, Ontario, in December 2016 (thanks to Jozsef Vass for recording the video):

Preprints:

Davison, T. An Operator-Valued Kantorovich Metric on Complete Metric Spaces (2018) 

Publications:

Davison, T., A Positive Operator-Valued Measure for an Iterated Function System, Acta Applicandae Mathematicase DOI: 10.1007/s10440-018-0161-6 (2018)

Davison, T., Generalizing the Kantorovich Metric to Projection-Valued Measures: With an Application to Iterated Function Systems, University of Colorado at Boulder, ProQuest Dissertations Publishing (2015)

Davison, T., Generalizing the Kantorovich Metric to Projection Valued Measures, Acta Applicandae Mathematicae DOI: 10.1007/s10440-014-9976-y (2014)