Publications

Photography by Mikael Persson Sundqvist

Papers in Journals

1. T. Persson, A piecewise hyperbolic map with absolutely continuous invariant measure, Dynamical Systems: An International Journal, 21:3 (2006), 363–378.
   link to the paper (preprint version as ps pdf)

2. T. Persson, Approximation and Asymptotics of Dimension for some Non-Uniformly Hyperbolic Interval Maps with Holes, Nonlinearity 20 (2007), 2615–2632.
   link to the paper (preprint version as ps pdf)

3. T. Persson, Absolutely continuous invariant measures for some piecewise hyperbolic affine maps, Ergodic Theory and Dynamical Systems 28:1 (2008), 211–228.
   link to the paper (preprint version as ps pdf)

4. T. Persson, J. Schmeling, Dyadic Diophantine Approximation and Katok's Horseshoe Approximation, Acta Arithmetica 132 (2008), 205–230.
   link to the paper (preprint version as ps pdf)

5. T. Persson, On Random Bernoulli Convolutions, Dynamical Systems: An International Journal, 25:2 (2010), 203–213.
   link to the paper (preprint version as ps pdf)

6. T. Persson, On the Hausdorff Dimension of Piecewise Hyperbolic Attractors, Fundamenta Mathematicæ 207 (2010), 255–272.
   link to the paper (preprint version on arXiv)

7. D. Färm, T. Persson, J. Schmeling, Dimension of Countable Intersections of Some Sets Arising in Expansions in Non-Integer Bases, Fundamenta Mathematicæ 209 (2010), 157–176.
   link to the paper (preprint version as ps pdf)

8. H. Lundstedt, T. Persson, Modelling Solar Cycle Length Based on Poincaré Maps for Lorenz-type Equations, Annales Geophysicæ, volume 28, number 4, 993–1002.
   link to the paper

9. B. Bárány, T. Persson, The absolute continuity of the invariant measure of random iterated function systems with overlaps, Fundamenta Mathematicæ, 210 (2010), 47–62.
   link to the paper (preprint version on arXiv)

10. D. Färm, T. Persson, Large intersection classes on fractals, Nonlinearity 24 (2011), 1291–1309.
    link to the paper (preprint version on arXiv and on institut Mittag-Leffler)

11. M. Nicol, T. Persson, Smooth Livšic regularity for piecewise expanding maps, Proceedings of the American Mathematical Society, 140 (2012), 905–914.
    link to the paper (preprint version on arXiv and on institut Mittag-Leffler)

12. D. Färm, T. Persson, Dimension and measure of baker-like skew-products of β-transformations, Discrete and Continuous Dynamical Systems series A 32:10 (2012), 3525–3537.
    link to the paper (preprint version on arXiv and on institut Mittag-Leffler)

13. T. Persson, S. D. Silvestrov, Commuting operators for representations of commutation relations defined by dynamical systems, Numerical Functional Analysis and Optimization, Volume 33 (2012), Issue 7–9, 1126–1165.
    link to the paper

14. N. Haydn, M. Nicol, T. Persson, S. Vaienti, A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems, Ergodic Theory and Dynamical Systems 33 (2013), 2, 475–498.
    link to the paper (preprint version on institut Mittag-Leffler and on arXiv)

15. T. Persson, H. Reeve, On the diophantine properties of λ-expansions, Mathematika, volume 59 (2013), issue 1, 65–86.
    link to the paper (preprint version on arXiv)

Thesis

1. T. Persson, Dynamics of Smooth Hyperbolic Systems with Singularities, Doctoral Theses in Mathematical Sciences, 2006:11, ISSN 1404-0034, ISBN 978-91-628-6945-8.
   ps pdf

Preprints

1. D. Färm, T. Persson, Non-typical points for β-shifts, 2010.
   on arXiv

2. T. Persson, H. Reeve, A Frostman type lemma for sets with large intersections, and an application to Diophantine approximation, 2013.
   on arXiv

3. B. Li, T. Persson, B. Wang, J. Wu, Diophantine approximation of the orbit of 1 in the dynamical system of beta expansions, 2013.
   on arXiv

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