Johan Nilsson

Universität Bielefeld, Fakultät für Mathematik,
Postfach 10 01 31, D-33501 Bielefeld

jnilsson "at" math.uni-bielefeld.de

Tel: 0521 - 106 4778
 
Office V5 - 116




Articles

  1. On numbers badly approximable by dyadic rationals,
    Israel J.Math. 171 (2009) 93--110; doi:10.1007/s11856--009--0042--9.

  2. The Fine Structure of Dyadically Badly Approximable Numbers.arXiv:1002.4614.

  3. On the Entropy of Random Fibonacci Words. arXiv:1001.3513.

  4. On the Entropy of a Family of Random Substitutions,
    Monatsh. Math. 168 (2012) 563--577, DOI 10.1007/s00605-012-0401-1. arXiv:1103.4777.

  5. A Space-Efficient Algorithm for Calculating the Digit Distribution in the Kolakoski Sequence,
    Journal of Integer Sequences, Vol. 15 (2012); Article 12.6.7.

  6. On the Entropy of a Two Step Random Fibonacci Substitution,
    Entropy, 15 (9) (2013) 3312--3324; doi:10.3390/e15093312.

  7. Substitution Rules for Higher-Dimensional Paperfolding Structures. arXiv:1408.4997.
    (With F. Gähler)

Conference Contribution

  1. On Numbers Badly Approximable by Dyadic Rationals,
    Words 2007, Sixth International Conference on Words,
    Proceedings of the 6th International Conference on Words, Marseille, France, September 17--21, (2007), pp. 222--229

  2. Discrete tomography: magic numbers for N-fold symmetry.
    Contribution to the proceeding of ICQ12 (2013) Krakau, Poland. To appear in: Acta Physica Polonica A. arXiv:1402.2183.
    (With C. Huck and M. Moll)

  3. Scaling of the Thue--Morse diffraction measure.
    Contribution to the proceeding of ICQ12 (2013) Krakau, Poland. To appear in: Acta Physica Polonica A. arXiv:1311.4371.
    (With M. Baake and U. Grimm).

  4. Letter frequencies in the Kolakoski sequence.
    Contribution to the proceeding of ICQ12 (2013) Krakau, Poland. To appear in: Acta Physica Polonica A.

Theses

  1. Embedding Theorems in Weighted Bergman Spaces,
    Master thesis in Mathematics, (2003).

  2. Fractal Structures in Dyadic Diophantine Approximation,
    Licentiate thesis in Mathematics, (2006):5, LUTFMA--2024--2006, ISSN 1404--028X, ISBN 978--91--631--9570.

  3. On Numbers Badly Approximable by q–adic Rationals,
    Ph.D. thesis in Mathematics, (2007):7, LUTFMA–1026–2007, ISSN 1404–0034, ISBN 978–91–628–73334–9.

    This was a cooperation between Lund University, Sweden and Université du Sud Toulon-Var, France.


Miscellaneous