Prof Jonathan Fraser

Professor

Researcher profile

Phone

+44 (0)1334 46 3754

Email

jmf32@st-andrews.ac.uk

Office

327 MI

Location

Mathematical Institute

 

Research areas

Jonathan Fraser's research centres on fractal geometry.  For more information about his research and other activities, see http://www.mcs.st-andrews.ac.uk/~jmf32/.

PhD supervision

• Amlan Banaji
• Alex Rutar

Selected publications

• 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

• 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

• 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

• 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

• 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. 85-95

  Research output: Contribution to journal › Article › peer-review

• 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

• 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

• 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

• Open access

  On the L^q -spectrum of planar self-affine measures

  Fraser, J. M., 2016, In: Transactions of the American Mathematical Society. 368, 8, p. 5579-5620 42 p.

  Research output: Contribution to journal › Article › peer-review

• On the Assouad dimension of self-similar sets with overlaps

  Fraser, J. M., Henderson, A. M., Olson, E. J. & Robinson, J. C., 19 Mar 2015, In: Advances in Mathematics. 273, p. 188-214 27 p.

  Research output: Contribution to journal › Article › peer-review

 

See more publications