Projects per year
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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Collaborations and top research areas from the last five years
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Projects
- 2 Finished
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LDMRD: MSC Fellowship: Tuomas Sahlsten
Jordan, T. M. & Sahlsten, T. V. A.
1/09/15 → 31/08/17
Project: Research
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Dimension theory of dynamically defined sets - A Ferguson fellowship.
1/07/11 → 1/07/14
Project: Research
Research output
- 31 Article (Academic Journal)
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Birkhoff and Lyapunov spectra on planar self-affine sets
Bárány, B., Jordan, T., Käenmäki, A. & Rams, M., 24 Jan 2020, In: International Mathematics Research Notices. 0, 40 p., rnz359.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile1 Citation (Scopus)63 Downloads (Pure) -
Birkhoff spectrum for piecewise monotone interval maps
Jordan, T. M. & Michal, R., 7 Aug 2020, (E-pub ahead of print) In: Fundamenta Mathematicae. 252 (2021), p. 203-223Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile1 Citation (Scopus)53 Downloads (Pure) -
Dimension of ergodic measures projected onto self-similar sets with overlap
Jordan, T. & Rapaport, A., 29 Apr 2020, (E-pub ahead of print) In: Proceedings of the London Mathematical Society. 0, p. 1-16 16 p.Research output: Contribution to journal › Article (Academic Journal) › peer-review
Open AccessFile3 Citations (Scopus)44 Downloads (Pure)