Publications

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 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 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 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 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 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 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 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 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 paper (preprint version on arXiv)

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

  12. N. Haydn, M. Nicol, T. Persson, S. Vaienti, A note on Borel–Cantelli lemmas for non-uniformly hyperbolic dynamical systems, accepted for publication in Ergodic Theory and Dynamical Systems
    link to paper (preprint version on institut Mittag-Leffler and on arXiv)

  13. D. Färm, T. Persson, Dimension and measure of baker-like skew-products of β-transformations, accepted for publication in Discrete and Continuous Dynamical Systems series A
    on arXiv and on institut Mittag-Leffler.

  14. T. Persson, S. D. Silvestrov, Commuting operators for representations of commutation relations defined by dynamical systems, accepted for publication in Numerical Functional Analysis and Optimization

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, On the diophantine properties of λ-expansions, 2012
    on arXiv


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Tomas Persson 2012-04-04