Jörg Thuswaldner

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Publications / Theses

  1. 2021
  2. Published

    On the second Lyapunov exponent of some multidimensional continued fraction algorithms

    Berthé, V., Steiner, W. & Thuswaldner, J., 2021, In: Mathematics of computation. 90, p. 883 905 p.

    Research output: Contribution to journal › Article › Research › peer-review

  3. Published

    The level of distribution of the sum-of-digits function of linear recurrence number systems

    Madritsch, M. & Thuswaldner, J., 2021, In: Journal de théorie des nombres de Bordeaux.

    Research output: Contribution to journal › Article › Research › peer-review

  4. Published

    Topology of planar self-affine tiles with collinear digit set

    Loridant, B., Thuswaldner, J. & Akiyama, S., 2021, In: Journal of Fractal Geometry. 8, p. 53-93

    Research output: Contribution to journal › Article › Research › peer-review

  5. 2020
  6. Published

    Probabilistic Surface Layer Fatigue Strength Assessment of EN AC-46200 Sand Castings

    Pomberger, S., Oberreiter, M., Leitner, M., Stoschka, M. & Thuswaldner, J., 9 May 2020, In: Metals : open access journal . 10.2020, 5, p. 616 26 p., 616.

    Research output: Contribution to journal › Article › Research › peer-review

  7. Published

    On self-affine tiles whose boundary is a sphere

    Thuswaldner, J. & Zhang, S., Jan 2020, In: Transactions of the American Mathematical Society. 373, 1, p. 491-527 37 p.

    Research output: Contribution to journal › Article › Research › peer-review

  8. Published

    S-adic sequences. A bridge between dynamics, arithmetic, and geometry

    Thuswaldner, J., 2020, Substitution and Tiling Dynamics: Introduction to Self-inducing Structures. Akiyama, S. & Arnoux, P. (eds.). Lecture notes in Mathematics ed. Cham: Springer, Vol. 2273. p. 97-191 (Lecture Notes in Mathematics).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research

  9. 2019
  10. Published

    Geometry, dynamics, and arithmetic of S-adic shifts

    Berthé, V., Steiner, W. & Thuswaldner, J., 3 Jun 2019, In: Annales de l'Institut Fourier. 69.2019, 3, p. 1347-1409 63 p.

    Research output: Contribution to journal › Article › Research › peer-review

  11. Published

    Number systems over general orders

    Evertse, J.-H., Györy, K., Pethö, A. & Thuswaldner, J., 2019, In: Acta mathematica Hungarica. 159, p. 187-205

    Research output: Contribution to journal › Article › Research › peer-review

  12. Published

    Recognizability for sequences of morphisms

    Berthé, V., Steiner, W., Thuswaldner, J. & Yassawi, R., 2019, In: Ergodic theory and dynamical systems. 39, p. 2896-2931

    Research output: Contribution to journal › Article › Research › peer-review

  13. Published

    The finiteness property for shift radix systems with general parameters

    Weitzer, M. F., Thuswaldner, J. & Pethõ, A., 2019, In: Integers. 2019, 19, #A50

    Research output: Contribution to journal › Article › Research › peer-review

  14. 2018
  15. Published

    Characterization of rational matrices that admit finite digit systems

    Jankauskas, J. & Thuswaldner, J., 6 Aug 2018, In: Linear algebra and its applications. 557.2018, November, p. 350-358 9 p.

    Research output: Contribution to journal › Article › Research › peer-review

  16. Published

    Lifetime assessment of cast aluminium components based on CT-evaluated microstructural defects

    Aigner, R., Stoschka, M., Leitner, M., Schneller, W. & Thuswaldner, J., 6 Feb 2018. 1 p.

    Research output: Contribution to conference › Poster › Research

  17. Published

    Number systems over orders

    Pethõ, A. & Thuswaldner, J., 2018, In: Monatshefte für Mathematik. 187, p. 681 704 p.

    Research output: Contribution to journal › Article › Research › peer-review

  18. 2017
  19. Published

    Distribution results on polynomials with bounded roots

    Kirschenhofer, P. & Thuswaldner, J., 21 Apr 2017, In: Monatshefte für Mathematik. 185.2018, 4, p. 689-715 27 p.

    Research output: Contribution to journal › Article › Research › peer-review

  20. Published

    Discrepancy bounds for β-adic Halton sequences

    Thuswaldner, J., 2017, Number Theory - Diophantine problems, uniform distribution and applications: Festschrift in honour of Robert F. Tichy's 60th birthday. Springer, p. 423-444 22 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research

  21. Published

    Rational digit systems over finite fields and Christol's Theorem

    Loquias, M., Mkaouar, M., Scheicher, K. & Thuswaldner, J., 2017, In: Journal of number theory. 171, p. 358-390 33 p.

    Research output: Contribution to journal › Article › Research › peer-review

  22. 2016
  23. Published

    On cut sets of attractors of iterated function systems

    Loridant, B., Luo, J., Sellami, T. & Thuswaldner, J., 2016, In: Proceedings of the American Mathematical Society. 144, 10, p. 4341-4356 16 p.

    Research output: Contribution to journal › Article › Research › peer-review

  24. Published

    Self-affine manifolds

    Conner, G. & Thuswaldner, J., 2016, In: Advances in mathematics. 289, p. 725-783 59 p.

    Research output: Contribution to journal › Article › Research › peer-review

  25. Published

    The S-adic Pisot conjecture on two letters

    Berthé, V., Minervino, M., Steiner, W. & Thuswaldner, J., 2016, In: Topology and its applications. 105, p. 47-57 11 p.

    Research output: Contribution to journal › Article › Research › peer-review

  26. 2015
  27. Published

    Characterization of the numbers which satisfy the height reducing property

    Akiyama, S., Thuswaldner, J. & Zaimi, T., 2015, In: Indagationes Mathematicae. 26, p. 24-27

    Research output: Contribution to journal › Article › Research › peer-review

  28. Published

    Comments on the height reducing property II

    Akiyama, S., Thuswaldner, J. & Zaimi, T., 2015, In: Indagationes Mathematicae. 26, p. 28-39

    Research output: Contribution to journal › Article › Research › peer-review

  29. Published

    On the Fibonacci Mandelbrot set

    Sirvent, V. & Thuswaldner, J., 2015, In: Indagationes Mathematicae. 26, p. 174-190

    Research output: Contribution to journal › Article › Research › peer-review

  30. Published

    Rational self-affine tiles

    Steiner, W. & Thuswaldner, J., 2015, In: Transactions of the American Mathematical Society.

    Research output: Contribution to journal › Article › Research › peer-review

  31. Published

    Salem numbers from a class of star-like trees

    Brunotte, H. & Thuswaldner, J., 2015, In: Journal of number theory. 153, p. 85-96 12 p.

    Research output: Contribution to journal › Article › Research › peer-review

  32. 2014
  33. Published

    Digit systems over commutative rings

    Scheicher, K., Surer, P., Thuswaldner, J. & Van De Woestijne, C., 2014, In: International journal of number theory. 10, p. 1459-1483

    Research output: Contribution to journal › Article › Research › peer-review

  34. Published

    Problems and conjectures around shift radix systems

    Akiyama, S., Brunotte, H., Pethö, A., Steiner, W. & Thuswaldner, J., 2014, In: Open Problems in Mathematics. 2, p. 1-5

    Research output: Contribution to journal › Article › Research › peer-review

  35. Published

    Shift radix systems - a survey

    Kirschenhofer, P. & Thuswaldner, J., 2014, In: RIMS-kōkyūroku. B46, p. 1-59

    Research output: Contribution to journal › Article › Research › peer-review

  36. Published

    Sur les chiffres des nombres premiers translatés

    Ouled Azaiz, N., Mkaouar, M. & Thuswaldner, J., 2014, In: Functiones et approximatio. 51, p. 237-267

    Research output: Contribution to journal › Article › Research › peer-review

  37. Published

    The geometry of non-unit Pisot substitutions

    Minervino, M. & Thuswaldner, J., 2014, In: Annales de l'Institut Fourier. 64, p. 1373-1417

    Research output: Contribution to journal › Article › Research › peer-review

  38. 2013
  39. Published

    Fundamental groups of one-dimensional spaces

    Dorfer, G., Thuswaldner, J. & Winkler, R., 2013, In: Fundamenta mathematicae. 223, p. 137-169

    Research output: Contribution to journal › Article › Research › peer-review

  40. Published

    On a variant of the Kakeya problem in R

    Deng, Y.-L., Hu, C., Long, S., Tang, T.-M., Thuswaldner, J. & Xi, L., 2013, In: Archiv der Mathematik. 101, p. 395-400

    Research output: Contribution to journal › Article › Research › peer-review

  41. Published

    On linear combinations of units with bounded coefficients and double-base digit expansions

    Krenn, D., Thuswaldner, J. & Ziegler, V., 2013, In: Monatshefte für Mathematik. 171, p. 377-394

    Research output: Contribution to journal › Article › Research › peer-review

  42. Published

    Patterns in Rational Base Number Systems

    Morgenbesser, J., Steiner, W. & Thuswaldner, J., 2013, In: The journal of Fourier analysis and applications. 19, p. 225-250

    Research output: Contribution to journal › Article › Research › peer-review

  43. Published

    Tilings induced by a class of cubic Rauzy fractals

    Loridant, B., Messaoudi, A., Surer, P. & Thuswaldner, J., 2013, In: THEORETICAL COMPUTER SCIENCE. 477, p. 6-31

    Research output: Contribution to journal › Article › Research › peer-review

  44. 2012
  45. Published

    A modified cellular automaton method for polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys

    Michelic, S., Thuswaldner, J. & Bernhard, C., 2012, IOP Conf. Series: Materials Science and Engineering. p. 1-9

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  46. Published

    Contractivity of three dimensional shift radix systems with finiteness property

    Brunotte, H., Kirschenhofer, P. & Thuswaldner, J., 2012, In: Journal of difference equations and applications. 18, p. 1077-1099

    Research output: Contribution to journal › Article › Research › peer-review

  47. 2011
  48. Published

    Fractal tiles associated with shift radix systems

    Berthé, V., Siegel, A., Steiner, W., Surer, P. & Thuswaldner, J., 2011, In: Advances in mathematics. 226, p. 139-175

    Research output: Contribution to journal › Article › Research › peer-review

  49. Published

    On linear combinations of units with bounded coefficients

    Thuswaldner, J. & Ziegler, V., 2011, In: Mathematika. 57, p. 247-262

    Research output: Contribution to journal › Article › Research › peer-review

  50. Published

    Shift radix systems for Gaussian integers and Pethoe's loudspeaker

    Brunotte, H., Kirschenhofer, P. & Thuswaldner, J., 2011, In: Publicationes mathematicae. 79, p. 341-356

    Research output: Contribution to journal › Article › Research › peer-review

  51. Published

    Similar dissection of sets

    Akiyama, S., Luo, J., Okazaki, R., Steiner, W. & Thuswaldner, J., 2011, In: Geometriae dedicata. 150, p. 233-247

    Research output: Contribution to journal › Article › Research › peer-review

  52. 2010
  53. Published

    Additive functions for number systems in function fields

    Madritsch, M. & Thuswaldner, J., 2010, In: Finite fields and their applications. 16, p. 204-229

    Research output: Contribution to journal › Article › Research › peer-review

  54. Published

    Analysis and simulation of hydrocyclone performance with an advanced model of the Tromp curve

    van Ommen, R., Flachberger, H. & Thuswaldner, J., 2010, In: AT international : mineral processing. p. 46-53

    Research output: Contribution to journal › Article › Research › peer-review

  55. Published

    Beta-continued fractions over Laurent series

    Jellali, M., Mkaouar, M., Scheicher, K. & Thuswaldner, J., 2010, In: Publicationes mathematicae. 77, 3/4, p. 443-463

    Research output: Contribution to journal › Article › Research › peer-review

  56. Published

    Finite and periodic orbits of shift radix systems

    Kirschenhofer, P., Pethö, A., Surer, P. & Thuswaldner, J., 2010, In: Journal de théorie des nombres de Bordeaux. 22, p. 421-448

    Research output: Contribution to journal › Article › Research › peer-review

  57. Published

    Interior components of a tile associated to a quadratic canonical number system - Part II

    Bernat, J., Loridant, B. & Thuswaldner, J., 2010, In: Fractals. 18, p. 385-397

    Research output: Contribution to journal › Article › Research › peer-review

  58. Published

    Polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys

    Michelic, S., Thuswaldner, J. & Bernhard, C., 2010, In: Acta materialia. 58, p. 2738-2751

    Research output: Contribution to journal › Article › Research › peer-review

  59. Published

    Substitutions, Rauzy fractals, and tilings

    Berthé, V., Siegel, A. & Thuswaldner, J., 2010, Combinatorics, Automata, and Number Theory. p. 248-323

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research

  60. Published

    Topological properties of Rauzy fractals

    Siegel, A. & Thuswaldner, J., 2010

    Research output: Book/Report › Book › Research

  61. 2009
  62. Published

    Generalized radix representations and dynamical systems IV

    Akiyama, S., Brunotte, H., Pethö, A. & Thuswaldner, J., 2009, In: Indagationes Mathematicae. 19, p. 333-348

    Research output: Contribution to journal › Article › Research › peer-review

  63. Published

    Number systems and tilings over Laurent series

    Beck, T., Brunotte, H., Scheicher, K. & Thuswaldner, J., 2009, In: Mathematical proceedings of the Cambridge Philosophical Society. 147, p. 9-29

    Research output: Contribution to journal › Article › Research › peer-review

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