Tomáš Vávra
Publications
Research articles
- [1] T. Vávra, E. Pelantová. On positional representations of integer vectors. Linear Algebra Appl., 633, 316–331 (2022). (arXiv:2103.02599)
- [2] Z. Masáková, T. Vávra, F. Veneziano. Finiteness and periodicity of continued fractions over quadratic number fields. Bull. Soc. Math. Fr., 150(1), 77‐109 (2022. (arXiv:1911.07670)
- [3] T. Vávra. Periodic representations in Salem bases. Israel Journal of Mathematics, 242, 83‐95 (2021). (arXiv:1812.08228) (journal)
- [4] V. Kala, T. Vávra. Periodic representations in algebraic bases. Monatshefte fur Mathematik, 188(1), 109–119 (2019). (arXiv:1709.04143) (journal)
- [5] T. Vávra, F. Veneziano. Pisot unit generators in number fields. Journal of Symbolic Computation, 89, 94–108 (2018). (arXiv:1512.08786) (journal)
- [6] K. Hare, Z. Masáková, T. Vávra. On the spectra of Pisot cyclotomic numbers. Letters in Mathematical Physics, 108(7), 1729-1756 (2018). (arXiv:1612.09285) (journal)
- [7] Z. Krčmáriková, W. Steiner, T. Vávra. Finite beta-expansions with negative bases. Acta Math. Hung, 152(2), 485–504 (2017). (arXiv:1701.04609) (journal)
- [8] S. Baker, Z. Masáková, E. Pelantová, T. Vávra. On periodic representations in non-Pisot bases. Monatshefte fur Mathematik, 184(1), 1–19 (2017). (arXiv:1604.03354v1) (journal)
- [9] D. Dombek, Z. Masáková, T. Vávra. Confluent Parry numbers, their spectra, and integers in positive- and negative-base number systems. Journal de théorie des nombres de Bordeaux, 27 no. 3 (2015), 745–768. (arXiv:1402.4314) (journal)
- [10] P. Kůrka, T. Vávra. Analytic functions computable by finite state transducers. Lecture Notes in Computer Science 8587 (2014), 252–263. (PDF) (journal)
- [11] Z. Masáková, T. Vávra. Integers in number systems with positive and negative quadratic Pisot base. RAIRO-Theor. Inform. Appl. 48 (2014), 341–367. (arXiv:1302.4655) (journal)
- [12] Z. Masáková, T. Vávra. Arithmetics in numeration systems with negative quadratic base. Kybernetika 47 (2011), 74–92. (arXiv:1011.1403) (journal)
- [13] Z. Masáková, E. Pelantová, T. Vávra. Arithmetics in number systems with negative base. Theoret. Comp. Sci. 412 (2011), 835–845. (arXiv:1002.1009) (journal)
Preprints & To appear
- [14] J. Caldwell, K. Hare, T. Vávra. Non-expansive matrix number systems with bases similar to J_n(1). submitted. (arXiv:2110.11937)
Thesis
- [15] T. Vávra. Arithmetics in nonstandard number systems. PhD thesis, FJFI ČVUT, 2017. (PDF)
- [16] T. Vávra. Arithmetics in number systems with a negative base. Masters degree project, FJFI ČVUT, 2012. (PDF)