List of
publications (in .pdf)
Edita Pelantová-Šiňajová
Articles in refereed
journals
1. T. Hejda, E. Pelantová: Spectral
properties of cubic complex Pisot units, to appear in Math Comp, 2014, arXiv:1312.0653
2. Ch. Frougny, P. Heller, E. Pelantová, and M.
Svobodová: k-block parallel addition versus 1-block parallel addition in non-standard numeration
systems, Theor. Comput. Sci. 543
(2014), 52-67 arXiv:1312.4858
3. T. Jajcayová, E. Pelantová, Š. Starosta, Palindromic
closure using multiple antimorphisms, Theor. Comp. Sci. 533 (2014), 37-45, arXiv:1306.6784
4.
E.
Pelantová, Š. Starosta: Palindromic
richness for languages invariant under more symmetries, Theor. Comp.
Sci. 518 (2014),
42--63 pp. arXiv:1108.3042
5. K. Břinda, E. Pelantová, O. Turek: Balances
of m-bonacci words, Fundam.Inform.
132(1), (2014) 33-61, arXiv:1301.3334
6. Z. Masáková, E. Pelantová, Itineraries induced by exchange of two intervals - věnováno k 75. Narozeninám prof. M. Havlíčka, Acta Polytechnica 53, (2013), 444-449
7. Z. Masáková, E. Pelantová, Optimal Number Representations in Negative
Bases, Acta Math. Hungar.140 (2013), 329—340 arXiv:1208.1413v1
[math.NT]
8. Ch. Frougny, E. Pelantová, M. Svobodová: Minimal digit sets for parallel addition in
non-standard numeration systems, Journal of Integer sequences, 16 (2013) preprint,
9. L. Balková, E. Pelantová, Š. Starosta: Proof of Brlek Reutenauer Conjecture,
Theor. Comp. Sci. 475
(2013), 120–125 arXiv:1208.2505
10. T. Hejda, Z. Masáková, E. Pelantová, Greedy and lazy representations in negative base systems, Kybernetika, 49 no. 2, 258-279, (2013) arxiv.org/abs/1110.6327
11. Z. Masáková, E. Pelantová, Purely periodic
expansions in systems with negative base, Acta Math. Hungar. 139, Issue 3, 208-227 (2013), available at
arXiv:1202.1948 11pp.
12. E. Pelantová, Š. Starosta: Languages invariant under more symmetries: overlapping factors versus
palindromic richness, Discrete Math.
313 (2013) 2432-2445, available at
arXiv:1103.4051
13. E. Pelantová, Š. Starosta: Almost rich words as images of rich words, Issue of Int. J.Found.
Comput. Sci., 23 No. 5,
1067-1083 (2012) (text)
14. P. Ambrož, D. Dombek, Z. Masáková, E. Pelantová, Numbers
with integer expansion in the numeration system with negative base, Funct.
Approx. Comment. Math. 47 (2012), 241-266c arXiv:0912.4597v1
15. Ch. Frougny, E. Pelantová, M. Svobodová: Parallel addition in non-standard numeration
systems, Theoretical Computer Science 412
(2011), pp. 5714-5727 arXiv:1102.5683
16. D. Dombek, Z. Masáková, E. Pelantová: Number representation using generalized $(-\beta)$-transformation, Theoret. Comput.
Sci. 412(2011), pp. 6653-6665 arXiv:1102.3079
17. L. Balková, E. Pelantová, Š. Starosta: On
Brlek-Reutenauer Conjecture, Theoretical Computer Science 412 (2011), pp. 5649-5655 arXiv:1101.5083
18. L. Balková, E. Pelantová, Š. Starosta: Infinite
Words with Finite Defect, Adv. in Appl. Math. 47 (2011), 562-574 arXiv:1009.5105
19. Z. Masáková, E. Pelantová, Ito-Sadahiro numbers vs.
Parry numbers, Acta Polytechnika 51
(2011), 59-64. arXiv:1010.6181
20. L. Balková, K. Klouda, E. Pelantová: Critical
Exponent of Infinite Words Coding Beta-integers Associated with Non-simple
Parry Numbers, Integers, 11B #A11 (2011) pp. 25 arXiv:1007.2724
21. D. Lenz, Z. Masáková, E. Pelantová, Note on powers
in three interval exchange transformations, Theoretical
Computer Science 412,
Issue 29, 1 (2011), 3788-3794, arXiv:0909.1109v1 [math.CO]
22. P. Ambrož, A. Frid, Z. Masáková, E. Pelantová, On
the number of factors in codings of three interval exchange, vyjde v
Discrete Math. Theor. Comput. Sci. (2011), 13pp. ArXiv 0904.2258v1
23. Z. Masáková, E. Pelantová, T. Vávra, Arithmetics in
number systems with negative base, Theor.Comp.Sci. 412, Issues 8-10, 4 (2011), 835-845 arXiv:1002.1009v1 [math.NT]
24. L. Balková, E. Pelantová, Š. Starosta: Sturmian
Jungle (or Garden?) on Multiliteral Alphabets, RAIRO - Theor. Inf. Appl. 44
(2010), 443-470 (text)
arXiv:1003.1224
25. M. Havlíček, E. Pelantová, J. Tolar, On representations of sl(n,C) Compatible
with Z_2 grading, Acta Polytechnica, 50
No.5 (2010) 30-39
26. P. Ambrož, Z. Masáková, E. Pelantová, Morphisms fixing words associated with
exchange of three intervals, RAIRO Theor. Inform. Appl. 44 (2010),
3-17. arXiv:0811.2147
27. Z. Masáková, E. Pelantová, Relation
between powers of factors and recurrence function characterizing Sturmian
words, Theor. Comp. Sci. 410
(2009), 3589-3596 arXiv:0809.0603
28. K. Klouda, E. Pelantová, Factor comlexity of infinite words associated with non-simple Parry numbers, Integers - Electronic Journal of Combinatorial Number Theory (2009), 281-310 arXiv:0812.0164
29. L. Balková, E. Pelantová: A Note on Symmetries in the Rauzy Graph and Factor Frequencies,
Theor. Comput. Sci. 410 (2009),
2779-2783 (text)
30. L. Balková, K. Klouda, E. Pelantová, Repetitions in Beta-integers, Letters in
Mathematical Physics 87 (2009),
181-195 arXiv:0812.4006
31. L. Balková E. Pelantová, Š. Starosta, Palindromes in Infinite Ternary Words,
RAIRO - Theor. Inform. Appl. 43
(2009), 687-702 arXiv:0901.4261
32. L. Balková, E. Pelantová, W. Steiner, Sequences with constant number of return
words, Monatshefte für Mathematics, 155, Numbers 3-4 (2008), 251-263 arXiv:math/0608603
33. Jun-Hua Chen,
E. Pelantová,
M. Znojil, Classification of the conditionally observable spectra exhibiting
central symmetry, Phys. Lett. A 372 (2008) 1986 - 1989 arXiv:0711.3947
34. L. Balková, J.
P. Gazeau, E. Pelantová, Asymptotic Behavior of Beta-integers,
Letters in Mathematical Physics, 84,
(2008), 179-198 text
35.
P. Baláži, Z. Masáková, E. Pelantová, Characterization of substitution invariant
3iet words, Integers - Electronic Journal of Combinatorial Number Theory 8
(2008), #A20, journal arXiv:0709.2638v1
36. P. Arnoux, V. Berthé, Z. Masáková, E. Pelantová, Sturm numbers and substitution invariance of
3iet words, Integers - Electronic Journal of Combinatorial Number Theory, 8
(2008), #A14, 17pp. arXiv:0710.5845
37. P. Ambrož, Z. Masáková, E. Pelantová, Matrices of 3iet preserving morphisms,
Theor. Comp. Sci. 400 (2008), 113–136. arXiv:math/0702336
38. L. Balková, E. Pelantová, O. Turek: Combinatorial and Arithmetical Properties of
Infinite Words Associated with Quadratic Non-simple Parry Numbers, RAIRO -
Theor. Inform. Appl. vol. 41 No. 3
(2007), 307-328
39. J. Patera, E. Pelantová, M. Svobodová, Fine group gradings of the real forms of sl(
40. Z. Masáková, E. Pelantová, Selfmatching properties of Beatty sequences, Acta Polytechnica 47 No.2-3, (2007),
21-24.
41. J. Bernat, Z. Masáková, E. Pelantová, Affine factor complexity of infinite words
associated with simple Parry numbers, Theor. Comp. Sci. 389 (2007), 12-25
42. Ch. Frougny, Z. Masáková, E. Pelantová, Infinite left special branches in words
associated with beta expansions, Discrete Math. Theor. Comput. Sci. 9 (2007), 125-144
43. P. Ambrož, Z. Masáková, E. Pelantová, Addition and multiplication of
beta-expansions in generalized Tribonacci base, Discrete Math. Theor.
Comput. Sci. 9 (2007), 73 – 88 text
44. P. Kocábová, Z. Masáková, E. Pelantová, Ambiguity in the m-Bonacci numeration system,
Discrete Math. Theor. Comput. Sci. 9 (2007), 109-124 text
45. P. Baláži, Z. Masáková, E. Pelantová, Factor versus palindromic complexity of
uniformly recurrent infinite words, Theoret. Comp. Sci. 380 (2007),
266-275.
46. P. Ambrož, Ch. Frougny, Z. Masáková, E. Pelantová, Palindromic complexity of infinite words
associated to simple Parry numbers, Annales de l‘Institut Fourier, 56
(2006), 2131-2160
47. J.P. Gazeau, Z. Masáková, E. Pelantová, Nested quasicrystalline discretization of
the line, IRMA Lectures in Mathematics and Theoretical Physics, Vol. 10,
Ed. L. Nyssen, EMS (2006), 79-132. math-ph/0601026
48. E. Pelantová, M. Svobodová, S. Tremblay, Fine gradings
of sl(p2,C) generated by tensor product
of generalized Pauli matrices and their symmetries, J. Math. Phys. 47
(2006) 013512 1-8
49. P. Baláži, Z. Masáková, E. Pelantová, Complete characterization of substitution
invariant Sturmian sequences, Integers - Electronic Journal of
Combinatorial Number Theory 5 (2005), #A14, 23pp.
50. P. Kocábová, Z. Masáková, E. Pelantová, Integers with maximal number of Fibonacci
representations, RAIRO Theor. Inf. Appl. 39 (2005), 343-358 text
51. J. Patera, E. Pelantová, M. Svobodová, Fine gradings of o(
52. L. Balková, Z. Masáková, E. Pelantová, The Meyer property of cut-and-project sets,
J. Phys. A: Math. Gen. 37 (2004), 8853-8864.
53. C. Frougny, Z. Masáková, E. Pelantová Complexity of infinite words associated with
beta-expansions, RAIRO Theor. Inf. and Appl. 38 (2004), 162-184;
Corrigendum, RAIRO Theor. Inf. and Appl. 38 (2004), 269-271.
54. L. S. Guimond, Z. Masáková, E. Pelantová, Arithmetics on beta-expansions, Acta
Arithmetica 112 (2004), 23-40 text
55. L .S. Guimond, Z. Masáková, E. Pelantová, Combinatorial properties of infinite words
associated with cut and project sequences, J. Théor. Nombres Bordeaux 15
(2003), 697-725.
56. P. Ambrož, Ch. Frougny, Z. Masáková, E. Pelantová,
Arithmetics on number systems with irrational bases, Bull. Soc. Math. Belg. 10
(2003) 641-659 text
57. E. Pelantová, R. Twarock, Tiles in quasicrystals with
cubic irrationality, J. of Phys. A: Math. Gen. 36 (2003) 4091-4111.
58. Z. Masáková, J. Patera, E. Pelantová, Projekce vícerozměrných krystalografických
mřížek jako matematický model pro kvazikrystaly, Českosl. čas. pro fyziku 53 (2003), 325-329.
59. M. Havlíček, J. Patera, E. Pelantová, J. Tolar, Automorphisms of the fine grading of sl(n,C) associated
with generalized Pauli matrices, J. Math. Phys. 43, 2 (2002), 1083-1094.
60. J. Patera, E. Pelantová, M. Svobodová, The eight fine gradings of sl(
61. J. Patera, E. Pelantová, M. Svobodová, Fine gradings of o(
62. Z. Masáková, J. Patera, E. Pelantová, Exceptional algebraic properties of three
quadratic irrationalities observed in quasicrystals, Canadian J. Phys. 79
(2001), 687-696.
63. M. Havlíček, J. Patera, E. Pelantová, J. Tolar, On fine gradings and
their symmetries, Czechoslov. J. of Phys. 51 (2001), 383-392.
64. Z. Masáková, E. Pelantová, M. Svobodová, Characterization of cut-and-project sets
using a binary operation, Lett. Math. Phys. 54 (2000), 1-10.
65. M. Havlíček, J. Patera, E. Pelantová, On Lie gradings III. Gradings of the real
forms of classical Lie algebras, Lin. Alg. and its Applic. 314 (2000),
1-47.
66. Z. Masáková, J. Patera and E. Pelantová, Substitution rules for aperiodic sequences
of the cut and project type, J. Phys. A: Math. Gen. 33
(2000), 8867-8886.
67. Z. Masáková, J. Patera, E. Pelantová, Selfsimilar Delone sets and quasicrystals,
J. Phys. A: Math. Gen. 31 (1998), 4927-4946.
68. Z. Masáková, J. Patera, E. Pelantová, Minimal distances in quasicrystals, J.
Phys. A: Math. Gen. 31 (1998), 1539-1552.
69. Z. Masáková, J. Patera, E. Pelantová, Inflation centers of the cut and project
quasicrystals, J. Phys. A: Math. Gen. 31 (1998), 1443-1453.
70. M. Havlíček, J. Patera, E. Pelantová, On Lie gradings II., Lin. Alg. and its
Applic. 277 (1998), 97--125.
71. J.P. Gazeau, J. Patera, E. Pelantová, tau-Haar wavelets in the plane, J.
of Math. Phys. 39, 8 (1998), 4201-4212.
72. A. Perelomov, E. Pelantová, A note on Diophantine equations related to quasicrystals, Theor.
and Math. Phys. 115, 3 (1998), 737-739.
73. M. Havlíček, J. Patera, E. Pelantová, Fine gradings of real forms of sl(
74. J. Patera, E. Pelantová, R. Twarock, Quasicrystal Lie algebras, Physical Letters
A, 246, (1998) 209-213, 1-10.
75. M. Havlíček, A. Klimyk, E. Pelantová, Nonstandard Uq(so3) and Uq(so4): tensor product
of representations, oscillator realisation roots of unity, Czechoslov. J.of Phys. 47, 1 (1997), 13-16.
76. M. Havlíček, J. Patera, E. Pelantová, On the fine gradings of simple classical Lie
algebras, Inter. J. of Modern Physics, 12, 1(1997), 189-194.
77. M. Havlíček, A. Klimyk, E. Pelantová, Santilli-Fairlie algebra Uq(so3): tensor
product of representations, oscillator realisation roots of unity, Hadronic
Journal 20, (1997),
603-614.
78. V. Rödl, E. Šiňajová, Note on Ramsey Numbers and Self-Complementary Graphs, Mathematica
Slovaca, 45 (1995), 243-249.
79. V. Rödl, E. Šiňajová, Note on Independent Sets in Steiner Systems, Random Structures and
Algorithms 5, 1 (1994), 183-190.
80. V. Rödl, J. Reiterman, E. Šiňajová, On Embeddings of Graphs into Euclidean
Spaces of Small Dimension, J. of Comb. Theory B,
56 (1992), 1-8.
81. E. Šiňajová, A
Note on Vector Representation of Graphs, Discrete Math. 89 (1991), 315-317.
82. J. Reiterman, E. Šiňajová, Geometrická dimenze grafů, Acta Polytechnica 14 (1990) 53-63.
83. V. Rödl, J. Reiterman, E. Šiňajová, Geometrical Embeddings of Graphs,
Dicrete Math. 74 (1989), 291-319.
84. V. Rödl, J. Reiterman, E. Šiňajová, Embeddings of Graphs into Euclidean Spaces,
Dicrete Comput. Geometry
4 (1989), 349-364.
85. M. Maehara, V. Rödl, J. Reiterman, E. Šiňajová, Embeddings
of Trees in Euclidean Spaces, Graphs
and Combinatorics 4, (1988), 43-47.
86. V. Rödl, J. Reiterman, E. Šiňajová, M. Tůma, Threshold hypergraphs, Dicrete Math. 54,
(1985) 193-200.
87. V. Rödl, J. Reiterman, E. Šiňajová, M. Tůma, Note on Threshold Hypergraphs, Acta
Polytechnica (1982) 39-46.
Refereed
contributions in conference proceedings
88. Ch. Frougny, P. Heller, E. Pelantová, M. Svobodová:
Parallel algorithm for addition in
non-standard numeration systems, invited talk at the Information Theory
Association workshop in San Diego in February (2014) publisher IEEE, text
89. Z. Masáková, E. Pelantová, Enumerating Abelian Returns to Prefixes
of Sturmian Words, to appear
in Proceedings of Words
90. P. Ambrož, D. Dombek, Z. Masáková, E. Pelantová, Numbers
with integer expansions in the numeration system with negative base, in
Proceedings of the 13th Mons Theoretical Computer Days, Amiens, September 6-10,
2010, U.F.R. Sciences (2010) 1-8.
91. T. Hejda, Z. Masáková, E. Pelantová, On the
negative base greedy and lazy representations, In "14eme Journées
Montoises d'Informatique Théorique", (2012)
92. E. Pelantová, Š. Starosta, Infinite words rich and almost rich in generalized palindromes,
Proceedings DLT 2011 Milano (Eds. G. Mauri, A. Leporati), LNCS 6795, Springer,
406-4016, (2011)
93. P. Ambrož, L. Háková, E. Pelantová. Properties of
3iet preserving morphisms and their matrices. In 'Proceedings WORDS 2007',
J. Cassaigne (ed.). IML Marseille (2007), 18–24.
94. P. Baláži, E. Pelantová, Palindromic complexity of words coding interval exchange,
Proceedings Words (2005), 8pp.
95. M. Havlíček, J. Patera, E. Pelantová, J. Tolar, On Pauli graded contracions of sl(
96. P. Baláži, E. Pelantová, Cut-and-project
sequences, in Proceedings Group24: Physical and Math. Aspects of
Symmetries, Eds. J.P. Gazeau, R. Kerner, A.P. Antoine,
S. Métens, J.Y.Thibon, IoP Publishing
Bristol (2003), 201- 204.
97. P. Ambrož, E. Pelantová, Numeration
systems based on generalized golden mean, in Proceedings iof Autumn School
Calculemus 2002, Eds. J. Zimmer, Ch. Benzmuller, SEKI Report (2002), 7-12.
98. M. Havlíček, J. Patera, E. Pelantová, J. Tolar, The fine grading of sl(
99. M. Havlíček, J. Patera, E. Pelantová, J. Tolar, Distinguished bases of sl(n,C)
and their symmetries,
Proceedings of the 2nd international Symposium on Quantum Theory and
Symmetries, Krakow 2001, World Scientific (2002), 363-370.
100. Z. Masáková, E. Pelantová, Cut and project sequences and substitution rules, Proc. of the international conference Aperiodic 2000,
Ferroelectrics 250 No. 1-4 (2001),
165-168.
101. Z. Masáková, J. Patera, E. Pelantová, Acceptance windows compatible with a
quasicrystal fragment, From quasicrystals to more complex systems Eds. F. Axel,
F. Denoyer, J.P. Gazeau, Lecture Notes of the Winter
School Order, Chance and Risk, Les Houches, March 1998, Springer (2000), 167-193.
102. Z. Masáková, J. Patera, E. Pelantová, Lattice-like properties of quasicrystal
models with quadratic irrationalities, Proceedings of Quantum Theory and
Symmetries, Goslar, 1999, Eds. H.D. Doebner,
V.K. Dobrev, J.D. Hennig, W. Luecke, World Scientific, (2000), 499-509.
103. E. Pelantová, Substitution
systems of quasiperiodic sequences, Proc. of the
3rd international IMACS IEEE conferrence in Athens, July 4 - 8, 1999, Ed. N. E.
Mastorakis, WSES-press (1999), 360-366.
104. Z. Masáková, E. Pelantová, Quasicrystals, tilings and scaling symmetries, Proc. of the international workshop Self-similar systems in Dubna,
July 30 - August 7, 1998, Eds. V. B. Priezzhev, V. P. Spiridonov, JINR Dubna
(1999), 189-202
105. Z. Masáková, J. Patera, E. Pelantová, Scaling invariances of quasicrystalline
sets, Conf. Proc. of the 5th Wigner Symposium,
Vienna 1997, Eds. P. Kasperkovitch and D. Grau, World Scientific, Singapore,
(1998), 94-96.
106. M. Havlíček, J. Patera, E. Pelantová, On fine gradings of Real forms of sl(n,C), Proceedings of conf. Lie
Theory and its Applic. in Physics II, Goslar, Eds. Doebner, Dobrev, Hilgert,
World Scientific, Singapore, (1997), 119-129.
107. Z. Masáková, J. Patera, E. Pelantová, Internal and external quasicrystal inflation
centers, Conf. Proceedings Symmetry Methods in Physics, Dubna 1997, Russ.
J. Nuc. Phys. 10 (1998), 2085-2089
108. M. Havlíček, J. Patera, E. Pelantová, On the maximal Abelian subgroups of
diagonalizable automorphisms of simple classical Lie Algebras, Proceedings of XXI Intern.
Colloquium on Group Theoretical Methods in Physics, World Scientific, (1997),
116-120.
Preprints
109. Z. Masáková, K. Pastirčáková, E. Pelantová: Description
of spectra of quadratic Pisot units, (2014)
110. S. Labbé, E. Pelantová: Palindromic
sequences generated from marked morphisms
(2014)
111. E. Pelantová, Š. Starosta: Constructions
of word rich in palindromes and pseudopalindromes (2014)
Popularization
articles (in Czech)
112. E. Pelantová, Š. Starosta, Nestandardní zápisy čísel,
(in Czech), Pokroky matematiky, fyziky a astronomie (2011), roč. 56, č 4, s. 276-289 text
113. E. Pelantová, M. Znojil, Můžeme důvěřovat vlastní
kalkulačce?, Rozhledy mat. fyz. 85,4
(2010) 11-18
114. E. Pelantová, Neobvyklé reprezentace čísel, sborník
29. konference Historie matematiky, Matfyzpress (2008), ISBN 978-80-7378-048-7,
pp. 153-155
115. Z. Masáková, E. Pelantová, M. Svobodová Rozklad
množiny přirozených čísel pomocí zlatého řezu, Rozhledy matematicko-fyzikální 78 (2001), 8-15.
116. E. Humhal, E. Pelantová, O posloupnosti harmonických
čísel, Rozhledy mat. fyz. 72 (1995),
184-190.
Editorovaný sborník:
117. DI-CRM Workshop on Mathematical Physics. Papers from
the workshop held at the Czech Technical University, Prague, June 18-21, 2000.
Edited by Z. Masáková, E. Pelantová and J. Tolar. Czechoslovak J. Phys. 51
(2001), no. 4., 281-428.
Habilitační a
dizertační práce:
118. E. Pelantová, Gradace Lieových algeber, habilitační
práce ČVUT 1998.
119. E. Šiňajová,
Reprezentácie grafov v euklidovskom priestore, dizertační práce MFF
UK 1991.
Učebné
texty:
120. E. Pelantová, Matematická analýza II, skriptum ČVUT,
2007.
121. E. Pelantová, J. Vondráčková, Matematická analýza I,
skriptum ČVUT, 2004.
122. E. Pelantová, J. Vondráčková, Cvičení
z matematické analýzy - integrální počet a řady, skriptum ČVUT, druhé
vydání 2002.
123. E. Pelantová, J. Vondráčková, Cvičení
z matematické analýzy, skriptum ČVUT, čtvrté vydání 2009.
124. Z. Masáková, E. Pelantová, Teorie čísel, skriptum
ČVUT, první vydání 2010