Benoit Loridant

Research output

  1. 2024
  2. Published

    Intersecting the Twin Dragon with rational lines

    Akiyama, S., Großkopf, P., Loridant, B. & Steiner, W., 10 Sept 2024, In: Journal of Fractal Geometry. 11.2024, 3-4, p. 205-217 13 p.

    Research output: Contribution to journalArticleResearchpeer-review

  3. 2022
  4. Published

    Thermodynamic functions of crystalline solids: Statistical evaluation of experimental data

    Gamsjäger, E., Loridant, B. & Wiessner, M., 2022.

    Research output: Contribution to conferencePresentationResearchpeer-review

  5. 2021
  6. 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

  7. 2019
  8. Published

    A core decomposition of compact sets in the plane

    Loridant, B., Luo, J. & yang, Y., 2019, In: Advances in mathematics. 343.2019, February, p. 219 - 244 26 p.

    Research output: Contribution to journalArticleResearchpeer-review

  9. 2018
  10. Published

    Geometrical Models for a Class of Reducible Pisot Substitutions

    Loridant, B. & Minervino, M., 16 Feb 2018, In: Discrete and computational geometry. 60.2018, 4, p. 981-1028 48 p.

    Research output: Contribution to journalArticleResearchpeer-review

  11. 2017
  12. Published

    Topology of a class of p2-crystallographicreplication tiles

    Loridant, B. & Zhang, S., 2017, In: Indagationes Mathematicae. 28.2017, 4, p. 805-823 19 p.

    Research output: Contribution to journalArticleResearchpeer-review

  13. 2016
  14. E-pub ahead of print

    Boundary parametrization and the topology of tiles

    Akiyama, S. & Loridant, B., 19 Oct 2016, (E-pub ahead of print) In: Nagoya Mathematical Journal. 226.2017, June, p. 127-164 38 p.

    Research output: Contribution to journalArticleResearchpeer-review

  15. Published

    A numerical scale for non locally connected continua

    Jolivet, T., Loridant, B. & Luo, J., 2016, In: Topology and its applications. 202, p. 21-39 19 p.

    Research output: Contribution to journalArticleResearchpeer-review

  16. 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

  17. Published

    Topological properties of a class of cubic Rauzy fractals

    Loridant, B., 2016, In: Osaka journal of mathematics. 53, p. 161-221 60 p.

    Research output: Contribution to journalArticleResearchpeer-review

  18. 2015
  19. Published

    Cut sets of tiles associated with canonical number systems

    Loridant, B., 22 Sept 2015.

    Research output: Contribution to conferencePresentationResearch

  20. 2014
  21. Published

    Rauzy fractals with countable fundamental group

    Loridant, B., Jolivet, T. & Luo, J., 2014, In: Journal of Fractal Geometry. 1, p. 427-447

    Research output: Contribution to journalArticleResearchpeer-review

  22. 2013
  23. 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

  24. 2012
  25. Published

    Crystallographic numbers systems

    Loridant, B., 2012, In: Monatshefte für Mathematik. 167, p. 511-529

    Research output: Contribution to journalArticleResearchpeer-review

  26. 2011
  27. Published

    Boundary parametrization of self-affine tiles

    Loridant, B., 2011, In: Journal of the Mathematical Society of Japan. 63, p. 525-579

    Research output: Contribution to journalArticleResearchpeer-review

  28. 2010
  29. Published

    Boundary parametrization of planar self-affine tiles with collinear digit set

    Akiyama, S. & Loridant, B., 2010, In: Science Chine mathematics. 53, 9, p. 2173-2194

    Research output: Contribution to journalArticleResearchpeer-review

  30. 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 journalArticleResearchpeer-review

  31. 2008
  32. Published

    A new criterion for disk-like crystallographic reptiles

    Loridant, B., Luo, J. & Thuswaldner, J., 2008, Topology proceedings. Vol. 31 [2007]. p. 593-610 (Topology proceedings / Mathematics Department, Auburn University).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  33. Published

    Fundamental group of tiles associated to quadratic canonical number systems

    Loridant, B., 2008, In: Mathematica Slovaca. 58, p. 241-251

    Research output: Contribution to journalArticleResearchpeer-review

  34. Published

    Interior components of a tile associated to a quadratic canonical number system

    Loridant, B. & Thuswaldner, J., 2008, In: Topology and its applications. 155, p. 667-695

    Research output: Contribution to journalArticleResearchpeer-review

  35. Published

    On a theorem of Bandt and Wang and its extension to p2-tiles

    Loridant, B. & Luo, J., 2008, In: Discrete and computational geometry.

    Research output: Contribution to journalArticleResearchpeer-review

  36. 2007
  37. Published

    Topological properties of tiles

    Loridant, B., 2007, 129 p.

    Research output: ThesisDoctoral Thesis

  38. Published

    Topology of crystallographic tiles

    Loridant, B., Luo, J. & Thuswaldner, J., 2007, In: Geometriae dedicata. 128, p. 113-144

    Research output: Contribution to journalArticleResearchpeer-review