Tom Hejda

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Publications

Research articles and indexed proceedings

  1. [1] T. Hejda, W. Steiner. Beta-expansions of rational numbers in quadratic Pisot bases. Acta Arithmetica (online first). (arXiv:1411.2419) (PDF)
  2. [2] T. Hejda, E. Pelantová. Spectral properties of cubic complex Pisot units. Math Comp 85 (2016) 401–421. (arXiv:1312.0653) (journal)
  3. [3] V. Delecroix, T. Hejda, W. Steiner. Balancedness of Arnoux-Rauzy and Brun words. 9th International Conference WORDS, 2013. (arXiv:1308.6694) (PDF)
  4. [4] T. Hejda, Z. Masáková, E. Pelantová. Greedy and lazy representations of numbers in the negative base system. Kybernetika 49 (2013) 258–279. (arXiv:1110.6327) (PDF) (journal)
  5. [5] T. Hejda. Morphisms preserving the set of words coding three interval exchange. RAIRO-Theor Inf Appl 46 (2012) 107–122. (arXiv:1111.1578) (PDF) (journal)

Preprints & To appear

  1. [6] T. Hejda, V. Kala. Additive structure of totally positive quadratic integers. Submitted. (arXiv:1706.09178)
  2. [7] T. Hejda. Multiple tilings associated to d-Bonacci beta-expansions. Submitted. (arXiv:1503.07744) (PDF)

Theses

  1. [8] T. Hejda. Geometrical aspects of positional representations of real and complex numbers. PhD thesis. Czech Technical University in Prague and Université Paris Diderot, 2016. Supervised by E. Pelantová, W. Steiner. (PDF)
  2. [9] T. Hejda. Representations of real and complex numbers in non-standard numeration systems. Dissertation Study. Czech Technical University in Prague, 2014. Supervised by E. Pelantová, W. Steiner. (PDF)
  3. [10] T. Hejda. Moebius numeration systems with discrete groups. Master's thesis. Czech Technical University in Prague, 2012. Supervised by P. Kůrka. (PDF) (source)
  4. [11] T. Hejda. Morphisms preserving the set of words coding three interval exchange. Research target. Czech Technical University in Prague, 2010. Supervised by E. Pelantová. (PDF)
  5. [12] T. Hejda. Amicable morphisms on Sturmian words. Bachelor's project. Czech Technical University in Prague, 2010. Supervised by E. Pelantová. (PDF)

Other proceedings

  1. [13] T. Hejda, W. Steiner. Beta-expansions of rational numbers in quadratic Pisot bases. Journées Montoises d'Informatique Théorique, 2014. (PDF)
  2. [14] T. Hejda, Z. Masáková, E. Pelantová. On the negative base greedy and lazy representations. Journées Montoises d'Informatique Théorique, 2012. (PDF)
  3. [15] T. Hejda. Morphisms preserving the set of words coding three interval exchange. Journées Montoises d'Informatique Théorique, 2010. (PDF)

Educational materials

  1. [16] T. Hejda. Indukcí na žabičky. Rozhledy matematicko-fyzikální, 2010. (in Czech).
  2. [17] T. Hejda. Zápisky z Algebry. K předmětu 01ALG Algebra na ČVUT FJFI, 2009. (in Czech). (PDF) (wikiskripta)

Presentations

  1. [18] T. Hejda. Geometrical aspects of positional representations of real and complex numbers. PhD defense, Paris (FR), 1st February 2016. (PDF)
  2. [19] T. Hejda. Multiple tilings for symmetric beta-expansions. FAN project meeting, Admont (AT), 2015.
  3. [20] T. Hejda. What is the Abelianization of the Tribonacci shift?. Automatic Sequences, Liège (BE), 2015. (PDF)
  4. [21] T. Hejda. Multiple tilings for symmetric beta-expansions. Numeration, Nancy (FR), 2015. (PDF)
  5. [22] T. Hejda. Spectral properties of cubic complex Pisot units. Numeration and Substitution, Debrecen (HU), 2014. (PDF)
  6. [23] T. Hejda, W. Steiner. Purely periodic beta-expansions in quadratic non-unit bases. Representing Streams II workshop, Leiden (NL), 2014. (PDF)
  7. [24] V. Delecroix, T. Hejda, W. Steiner. Balancedness of Arnoux-Rauzy and Brun words. 9th International Conference WORDS, Turku (FI), 2013. (PDF)
  8. [25] T. Hejda. Lazy representations, subsitutions and tilings assosiated with complex Pisot numbers. SubTile, Luminy (FR), 2013. (PDF)
  9. [26] T. Hejda Z. Masáková, E. Pelantová. On the negative base greedy and lazy representations. Journées Montoises d'Informatique Théorique, Louvain-la-Neuve (BE), 2012. (PDF)
  10. [27] T. Hejda. Moebius numeration systems with discrete groups. Master's thesis defense, Prague (CZ), 2012. (PDF)
  11. [28] T. Hejda. Gaps in Ito-Sadahiro transformation (and more). Combinatorics on words summer school, Svatý Ján pod Skalou (CZ), 2012. (PDF)
  12. [29] T. Hejda, Z. Masáková, E. Pelantová. Greedy and lazy representations of numbers in the negative golden ratio base. Algebraic and combinatorial structures seminar, Prague (CZ), 2011. (PDF)
  13. [30] T. Hejda, Z. Masáková, E. Pelantová. Greedy and lazy representations of numbers in the negative golden ratio base. First Russian-Finnish Symposium on Discrete Mathematics, Sankt-Peterburg (RU), 2011. (PDF)
  14. [31] T. Hejda. The golden ratio and signal quantization. Combinatorics on words summer school, Fryšava (CZ), 2011. (PDF)
  15. [32] T. Hejda. On one cruel diophantic equation in Moebius number systems. Algebraic and combinatorial structures seminar, Prague (CZ), 2011. (PDF)
  16. [33] T. Hejda. Moebius number systems with discrete groups. Analytic and algebraic methods in physics, Prague (CZ), 2011. (PDF)
  17. [34] T. Hejda. Morphisms preserving the set of words coding three interval exchange. Journées Montoises d'Informatique Théorique, Amiens (FR), 2010. (PDF)
  18. [35] T. Hejda. Morphisms preserving the set of words coding three interval exchange. Research target defense, Prague (CZ), 2010. (PDF)
  19. [36] T. Hejda. Arithmetic complexity of Sturmian words. Combinatorics on words summer school, Hojsova Stráž (CZ), 2010. (PDF)
  20. [37] T. Hejda. Amicable morfismy na sturmovských slovech. Bachelor's project defense, Prague (CZ), 2010. (in Czech). (PDF)
  21. [38] T. Hejda. Counting amicable Sturmian morphisms. Combinatorics on words summer school, Děčín (CZ), 2009. (PDF)

License remark

I have created quite a number of figures and diagrams in my talks and papers. Should anyone want to use some of them in scientific talks or papers, you can, but please either attribute my authorship, or ask me (by mail) whether it is required; I will very likely just let you use them, and if you're fortunate, I will have the LaTeX source-code of them available for you. This does not necessarily apply to figures created by me that have been licensed under different terms and conditions at a different place.