Prof Jonathan Fraser
Director of Research
Professor
- Phone
- +44 (0)1334 46 3754
- jmf32@st-andrews.ac.uk
- Office
- 327 MI
- Location
- Mathematical Institute
Research areas
Jonathan Fraser's research centres on fractal geometry and analysis. For more information about his research and other activities, see https://jonathan-fraser.github.io/homepage/
PhD supervision
- Alex Rutar
- Ana de Orellana
Selected publications
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Open access
A nonlinear projection theorem for Assouad dimension and applications
Fraser, J., 1 Feb 2023, In: Journal of the London Mathematical Society. 107, 2, p. 777-797 21 p.Research output: Contribution to journal › Article › peer-review
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Open access
Regularity of Kleinian limit sets and Patterson-Sullivan measures
Fraser, J. M., 1 Oct 2019, In: Transactions of the American Mathematical Society. 372, 7, p. 4977-5009 33 p.Research output: Contribution to journal › Article › peer-review
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Open access
Dimension growth for iterated sumsets
Fraser, J., Howroyd, D. C. & Yu, H., 17 Dec 2018, (E-pub ahead of print) In: Mathematische Zeitschrift. First Online, 28 p.Research output: Contribution to journal › Article › peer-review
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Open access
Distance sets, orthogonal projections, and passing to weak tangents
Fraser, J. M., Jun 2018, In: Israel Journal of Mathematics. 226, 2, p. 851–875 25 p.Research output: Contribution to journal › Article › peer-review
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Open access
New dimension spectra: finer information on scaling and homogeneity
Fraser, J. M. & Yu, H., 30 Apr 2018, In: Advances in Mathematics. 329, p. 273-328 56 p.Research output: Contribution to journal › Article › peer-review
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Open access
On the Fourier analytic structure of the Brownian graph
Fraser, J. M. & Sahlsten, T., 2018, In: Analysis & PDE. 11, 1, p. 115-132 18 p.Research output: Contribution to journal › Article › peer-review
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Open access
Arithmetic patches, weak tangents, and dimension
Fraser, J. M. & Yu, H., Feb 2018, In: Bulletin of the London Mathematical Society. 50, 1, p. 85-95Research output: Contribution to journal › Article › peer-review
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Open access
The Assouad dimensions of projections of planar sets
Fraser, J. M. & Orponen, T., Feb 2017, In: Proceedings of the London Mathematical Society. 114, 2, p. 374-398 25 p.Research output: Contribution to journal › Article › peer-review
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Open access
The Fourier spectrum and sumset type problems
Fraser, J., 5 Apr 2024, In: Mathematische Annalen.Research output: Contribution to journal › Article › peer-review
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Open access
Dimensions of sets which uniformly avoid arithmetic progressions
Fraser, J. M., Saito, K. & Yu, H., 2 Nov 2017, (E-pub ahead of print) In: International Mathematics Research Notices. 2017, 12 p.Research output: Contribution to journal › Article › peer-review