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):

Publications:

(1) Davison, T. An Operator-Valued Kantorovich Metric on Complete Metric Spaces, Acta Applicandae Mathematicae DOI: 10.1007/s10440-018-0213-y (2018) 

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

(3) 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)

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