Research
I am a postdoctoral mathematics researcher, working in probability theory. My main fields of interest cover various random marked point processes, including
- bosonic loop soups, random interlacements, condensation phenomena;
- spatial random graph models, marked random connection models.
Teaching
Projects
Publications
Preprints
- M. Dickson and M. Heydenreich,
The triangle condition for the marked random connection model.
Preprint, 85 pages.
[preprint@arXiv]
- M. Dickson and Q. Vogel,
Formation of infinite loops for an interacting bosonic loop soup.
Preprint, 36 pages.
[preprint@arXiv]
Published Articles
- S. Adams and M. Dickson,
Large deviations analysis for random combinatorial partitions with counter terms.
Journal of Physics A: Mathematical and Theoretical 55 (25):52pp (2022).
[article@IOPscience] (open access)
- S. Adams and M. Dickson,
An explicit large deviation analysis of the spatial cycle Huang-Yang-Luttinger model.
Ann. Henri Poincaré 22, 1535–1560 (2021).
[article@SpringerLink] (open access)
