Jörg Thuswaldner

Research output

  1. 2024
  2. Published

    Weyl Sums over Integers with Digital Restrictions

    Shparlinski, I. E. & Thuswaldner, J., 25 Feb 2024, In: Michigan mathematical journal. 74.2023, 1, p. 189-214 26 p.

    Research output: Contribution to journalArticleResearchpeer-review

  3. Published

    Rational self-affine tiles associated to standard and nonstandard digit systems

    Rossi, L., Steiner, W. & Thuswaldner, J., 2024, In: Panoramas et synthèses. ??? Stand: 10. Februar 2025, ??? Stand: 10. Februar 2025, p. 129-160 32 p.

    Research output: Contribution to journalArticleResearchpeer-review

  4. 2023
  5. Published

    Generalizations of Sturmian sequences associated with N-continued fraction algorithms

    Langeveld, N., Rossi, L. & Thuswaldner, J., Sept 2023, In: Journal of number theory. 250.2023, September, p. 49-83 35 p.

    Research output: Contribution to journalArticleResearchpeer-review

  6. Published

    On self-affine tiles that are homeomorphic to a ball

    Thuswaldner, J. & Zhang, S., 2 Jun 2023, In: Science Chine mathematics. 67.2024, January, p. 45-76 32 p.

    Research output: Contribution to journalArticleResearchpeer-review

  7. 2022
  8. Published

    Multidimensional continued fractions and symbolic codings of toral translations

    Berthé, V., Steiner, W. & Thuswaldner, J., 20 Dec 2022, In: Journal of the European Mathematical Society. 25.2023, 123, p. 4997-5057 61 p.

    Research output: Contribution to journalArticleResearchpeer-review

  9. Published

    A Number System with Base

    Rossi, L. & Thuswaldner, J., 2022, In: The American mathematical monthly. 129.2022, 6, p. 539-553 15 p.

    Research output: Contribution to journalArticleResearchpeer-review

  10. 2021
  11. Published

    Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d'Ostrowski

    Amri, M., Spiegelhofer, L. & Thuswaldner, J., 28 Oct 2021, In: International journal of number theory. 18.2022, 5, p. 955-976 22 p.

    Research output: Contribution to journalArticleResearchpeer-review

  12. Published

    On the second Lyapunov exponent of some multidimensional continued fraction algorithms

    Berthé, V., Steiner, W. & Thuswaldner, J., 2021, In: Mathematics of computation. 90.2021, 328, p. 883-905 23 p.

    Research output: Contribution to journalArticleResearchpeer-review

  13. Published

    Topology of planar self-affine tiles with collinear digit set

    Akiyama, S., Loridant, B. & Thuswaldner, J., 2021, In: Journal of Fractal Geometry. 8.2021, 1, p. 53-93 24 p.

    Research output: Contribution to journalArticleResearchpeer-review

  14. 2020
  15. 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 journalArticleResearchpeer-review

  16. Published

    On self-affine tiles whose boundary is a sphere

    Thuswaldner, J. & Zhang, S., Jan 2020, In: Transactions of the American Mathematical Society. 373.2020, 1, p. 491-527 37 p.

    Research output: Contribution to journalArticleResearchpeer-review

  17. 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 proceedingChapterResearch

  18. 2019
  19. Published

    Recognizability for sequences of morphisms

    Berthé, V., Steiner, W., Thuswaldner, J. & Yassawi, R., 1 Nov 2019, In: Ergodic theory and dynamical systems. 39.2019, 11, p. 2896-2931 36 p.

    Research output: Contribution to journalArticleResearchpeer-review

  20. Published

    Number systems over general orders

    Evertse, J.-H., Györy, K., Pethö, A. & Thuswaldner, J., 1 Oct 2019, In: Acta mathematica Hungarica. 159.2019, 1, p. 187-205 19 p.

    Research output: Contribution to journalArticleResearchpeer-review

  21. 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 journalArticleResearchpeer-review

  22. Published

    The finiteness property for shift radix systems with general parameters

    Pethõ, A., Thuswaldner, J. & Weitzer, M. F., 2019, In: INTEGERS: Electronic Journal of Combinatorial Number Theory. 19.2019, 20 p., A50.

    Research output: Contribution to journalArticleResearchpeer-review

  23. 2018
  24. 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 journalArticleResearchpeer-review

  25. Published

    Number systems over orders

    Pethõ, A. & Thuswaldner, J., 18 May 2018, In: Monatshefte für Mathematik. 187.2018, 4, p. 681-704 24 p.

    Research output: Contribution to journalArticleResearchpeer-review

  26. Published
  27. 2017
  28. 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 journalArticleResearchpeer-review

  29. 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 proceedingChapterResearch

  30. 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. 171.2017, February, p. 358-390 33 p.

    Research output: Contribution to journalArticleResearchpeer-review

  31. 2016
  32. 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 journalArticleResearchpeer-review

  33. Published

    Self-affine manifolds

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

    Research output: Contribution to journalArticleResearchpeer-review

  34. 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 journalArticleResearchpeer-review

  35. 2015
  36. 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 journalArticleResearchpeer-review

  37. 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 journalArticleResearchpeer-review

  38. Published

    On the Fibonacci Mandelbrot set

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

    Research output: Contribution to journalArticleResearchpeer-review

  39. Published

    Rational self-affine tiles

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

    Research output: Contribution to journalArticleResearchpeer-review

  40. 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 journalArticleResearchpeer-review

  41. 2014
  42. 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 journalArticleResearchpeer-review

  43. 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 journalArticleResearchpeer-review

  44. Published

    Shift radix systems - a survey

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

    Research output: Contribution to journalArticleResearchpeer-review

  45. 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 journalArticleResearchpeer-review

  46. 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 journalArticleResearchpeer-review

  47. 2013
  48. 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 journalArticleResearchpeer-review

  49. 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 journalArticleResearchpeer-review

  50. 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 journalArticleResearchpeer-review

  51. 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 journalArticleResearchpeer-review

  52. 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 journalArticleResearchpeer-review

  53. 2012
  54. 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 proceedingConference contribution

  55. 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 journalArticleResearchpeer-review

  56. 2011
  57. 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 journalArticleResearchpeer-review

  58. Published

    On linear combinations of units with bounded coefficients

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

    Research output: Contribution to journalArticleResearchpeer-review

  59. 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 journalArticleResearchpeer-review

  60. 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 journalArticleResearchpeer-review

  61. 2010
  62. 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 journalArticleResearchpeer-review

  63. Published
  64. 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 journalArticleResearchpeer-review

  65. 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 journalArticleResearchpeer-review

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