Publications

Research articles and indexed proceedings

• [1] T. Hejda. Multiple tilings associated to d-Bonacci beta-expansions. Monatshefte für Mathematik (online first). (arXiv:1503.07744) (PDF) (journal)
• [2] T. Hejda, W. Steiner. Beta-expansions of rational numbers in quadratic Pisot bases. Acta Arithmetica 183 (2018) 35–51. (arXiv:1411.2419) (PDF) (journal)
• [3] T. Hejda, E. Pelantová. Spectral properties of cubic complex Pisot units. Math Comp 85 (2016) 401–421. (arXiv:1312.0653) (journal)
• [4] V. Delecroix, T. Hejda, W. Steiner. Balancedness of Arnoux-Rauzy and Brun words. 9th International Conference WORDS, 2013. (arXiv:1308.6694) (PDF)
• [5] 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)
• [6] 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

• [7] T. Hejda, V. Kala. Additive structure of totally positive quadratic integers. Submitted. (arXiv:1706.09178)
• [8] T. Hejda, V. Kala. Ternary quadratic forms representing arithmetic progressions. Submitted. (arXiv:1906.02538)

Theses

• [9] 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)
• [10] 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)
• [11] T. Hejda. Moebius numeration systems with discrete groups. Master’s thesis. Czech Technical University in Prague, 2012. Supervised by P. Kůrka. (PDF) (source)
• [12] 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)
• [13] T. Hejda. Amicable morphisms on Sturmian words. Bachelor’s project. Czech Technical University in Prague, 2010. Supervised by E. Pelantová. (PDF)

Other proceedings (incomplete)

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

Educational materials (incomplete)

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

Presentations (incomplete)

• [19] T. Hejda. Totally positive quadratic integers and numeration. Numeration, Paris (FR), 2018. (PDF)
• [20] T. Hejda. Totally positive quadratic integers from the numeration point of view. Journées Arithmétiques, Caen (FR), 2017.
• [21] T. Hejda. Geometrical aspects of positional representations of real and complex numbers. PhD defense, Paris (FR), 1st February 2016. (PDF)
• [22] T. Hejda. Multiple tilings for symmetric beta-expansions. FAN project meeting, Admont (AT), 2015.
• [23] T. Hejda. What is the Abelianization of the Tribonacci shift?. Automatic Sequences, Liège (BE), 2015. (PDF)
• [24] T. Hejda. Multiple tilings for symmetric beta-expansions. Numeration, Nancy (FR), 2015. (PDF)
• [25] T. Hejda. Spectral properties of cubic complex Pisot units. Numeration and Substitution, Debrecen (HU), 2014. (PDF)
• [26] T. Hejda, W. Steiner. Purely periodic beta-expansions in quadratic non-unit bases. Representing Streams II workshop, Leiden (NL), 2014. (PDF)
• [27] V. Delecroix, T. Hejda, W. Steiner. Balancedness of Arnoux-Rauzy and Brun words. 9th International Conference WORDS, Turku (FI), 2013. (PDF)
• [28] T. Hejda. Lazy representations, subsitutions and tilings assosiated with complex Pisot numbers. SubTile, Luminy (FR), 2013. (PDF)
• [29] 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)
• [30] T. Hejda. Moebius numeration systems with discrete groups. Master’s thesis defense, Prague (CZ), 2012. (PDF)
• [31] T. Hejda. Gaps in Ito-Sadahiro transformation (and more). Combinatorics on words summer school, Svatý Ján pod Skalou (CZ), 2012. (PDF)
• [32] 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)
• [33] 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)
• [34] T. Hejda. The golden ratio and signal quantization. Combinatorics on words summer school, Fryšava (CZ), 2011. (PDF)
• [35] T. Hejda. On one cruel diophantic equation in Moebius number systems. Algebraic and combinatorial structures seminar, Prague (CZ), 2011. (PDF)
• [36] T. Hejda. Moebius number systems with discrete groups. Analytic and algebraic methods in physics, Prague (CZ), 2011. (PDF)
• [37] T. Hejda. Morphisms preserving the set of words coding three interval exchange. Journées Montoises d’Informatique Théorique, Amiens (FR), 2010. (PDF)
• [38] T. Hejda. Morphisms preserving the set of words coding three interval exchange. Research target defense, Prague (CZ), 2010. (PDF)
• [39] T. Hejda. Arithmetic complexity of Sturmian words. Combinatorics on words summer school, Hojsova Stráž (CZ), 2010. (PDF)
• [40] T. Hejda. Amicable morfismy na sturmovských slovech. Bachelor’s project defense, Prague (CZ), 2010. (in Czech). (PDF)
• [41] T. Hejda. Counting amicable Sturmian morphisms. Combinatorics on words summer school, Děčín (CZ), 2009. (PDF)