Personal profile
Research interests
My research focuses on dimension theory in dynamical systems. My interests include connections between multifractal analysis, large deviations and the thermodynamic formalism, self-similar and self-affine sets, non-conformal dynamical systems and Fourier transforms for invariant measures.
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Research output
- 32 Article (Academic Journal)
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Hausdorff dimension of shrinking targets on Przytycki-Urbański fractals
Koivusalo, H. L. L. & Jordan, T. M., 23 Mar 2026, (Accepted/In press) In: Transactions of the American Mathematical Society.Research output: Contribution to journal › Article (Academic Journal) › peer-review
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Birkhoff spectrum for piecewise monotone interval maps
Jordan, T. M. & Michal, R., 1 Feb 2021, In: Fundamenta Mathematicae. 252, 2, p. 203-223Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile1 Citation (Scopus)102 Downloads (Pure) -
Dimension of ergodic measures projected onto self-similar sets with overlap
Jordan, T. & Rapaport, A., 1 Feb 2021, In: Proceedings of the London Mathematical Society. 122, 2, p. 191-206 16 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile10 Citations (Scopus)108 Downloads (Pure)
Projects
- 2 Finished
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LDMRD: MSC Fellowship: Tuomas Sahlsten
Jordan, T. M. (Principal Investigator) & Sahlsten, T. V. A. (Researcher)
1/09/15 → 31/08/17
Project: Research
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Dimension theory of dynamically defined sets - A Ferguson fellowship.
Jordan, T. M. (Principal Investigator)
1/07/11 → 1/07/14
Project: Research