Články v recenzovaných
časopisech a recenzovaných sbornících konferencí (Edita Pelantová-Šiňajová)
1. L. Balková,
2. L. Balková, J.P. Gazeau, E.
Pelantová, Asymptotic Behavior of Beta-integers, to appear in Letters in
Mathematical Physics arXiv:0802.2992
3. P.
Baláži, Z. Masáková, E. Pelantová, Characterization of substitution
invariant 3iet words, Integers - Electronic Journal of Combinatorial Number Theory (2008), arXiv:0709.2638v1
[math.CO]
4. P. Arnoux, V. Berthé, Z.
Masáková, E. Pelantová, Sturm numbers and substitution invariance of 3iet
words, to appear in Integers - Electronic Journal of Combinatorial Number
Theory (2008), arXiv:0710.5845v1 [math.CO]
5. P. Ambrož, Z. Masáková,
6.
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.
7.
J. Patera,
8. Z. Masáková, E. Pelantová, Selfmatching
properties of Beatty sequences, Acta Polytechnica 47 No.2-3, (2007),
21-24.
9. J. Bernat, Z. Masáková,
10. C. Frougny, Z. Masáková,
11. P. Ambrož, Z. Masáková,
12. P. Kocábová, Z. Masáková, E.
Pelantová, Ambiguity in the m-Bonacci numeration system, Discrete Math.
Theor. Comput. Sci. 9 (2007), 109-124 pdf
13. P. Baláži, Z. Masáková, E.
Pelantová, Factor versus palindromic complexity of uniformly recurrent
infinite words, Theoret. Comp. Sci. 380 (2007), 266-275.
14. 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
15. 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
16.
17. P. Baláži, Z. Masáková, E.
Pelantová, Complete characterization of substitution invariant Sturmian
sequences, Integers - Electronic Journal of Combinatorial Number Theory 5
(2005), #A14, 23pp. dvi
18. P. Kocábová, Z. Masáková, E.
Pelantová, Integers with maximal number of Fibonacci representations,
RAIRO Theor. Inf. Appl. 39 (2005), 343-358. dvi
19. . Baláži, E.
Pelantová, Palindromic complexity of
words coding interval exchange, to appear in Proceedings Words 2005, 8pp. .
20. P. Kocábová, Z.
Masáková, E. Pelantová, Integers with
maximal number of Fibonacci representations, RAIRO Theor. Inf. Appl. 39 (2005), 343-358.
21. J. Patera, E.
Pelantová, M. Svobodová, Fine gradings of
o(4,C), Journal of Math. Phys. 45
(2004), 2188-2198.
22. M. Havlíček, J.
Patera, E. Pelantová, J. Tolar, On Pauli
graded contracions of sl(3,C), in Proceedings of XXI Workshop on Geometric
Methods in Physics, Bialowieza 2002, J. of Nonlinear Math. Physics, supplement
to vol. 11 (2004), 37-42.
23. L. Balková, Z.
Masáková, E. Pelantová, The Meyer
property of cut-and-project sets, J. Phys. A: Math. Gen. 37 (2004), 8853-8864.
24. 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.
25. 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.
26. L.S. Guimond, Z.
Masáková, E. Pelantová, Arithmetics on
beta-expansions, Acta Arithmetica 112
(2004), 23-40.
27. 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.
28. P. Ambrož, Ch.
Frougny, Z. Masáková, E. Pelantová, Arithmetics
on number systems with irrational bases, Bull. Soc. Math. Belg. 10 (2003) 641-659.
29. E. Pelantová, R.
Twarock, Tiles in quasicrystals with
cubic irrationality, J. of Phys. A: Math. Gen. 36 (2003) 4091-4111.
30. Z. Masáková, J.
Patera, E. Pelantová, Projekce
vícerozměrných krystalografických mřížek jako matematický model pro
kvazikrystaly, Českosl. čas. pro fyziku 53 (2003), 325-329.
31. 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.
32. M. Havlíček, J.
Patera, E. Pelantová, J. Tolar, The fine
grading of sl(3,C) and their symmetries, Proceedings of XXIII International
Colloquium on Group Theor. Methods in Physics, Eds. A.N. Sissakian, G.S.
Pogosyan, L.G. Mardoyan, vol 1, Dubna, JINR (2002), 57-61.
33. J. Patera, E.
Pelantová, M. Svobodová, The eight fine
gradings of sl(4,C) and o(6,C), J. Math. Phys. 43, 12 (2002), 6353-6378.
34. 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.
35. J. Patera, E.
Pelantová, M. Svobodová, Fine gradings of
o(5,C) and sp(4,C) and of their real forms, J. Math. Phys. 42, (2001) 3839-3853.
36. Z. Masáková, J.
Patera, E. Pelantová, Exceptional
algebraic properties of three quadratic irrationalities observed in
quasicrystals, Canadian J. Phys. 79
(2001), 687-696.
37. M. Havlíček, J.
Patera, E. Pelantová, J. Tolar, On fine gradings and their symmetries,
Czechoslov. J. of Phys. 51 (2001),
383-392.
38. 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.
39. Z. Masáková, E.
Pelantová, M. Svobodová Rozklad množiny
přirozených čísel pomocí zlatého řezu, Rozhledy matematicko-fyzikální 78 (2001), 8-15.
40. 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.
41. Z. Masáková, E.
Pelantová, M. Svobodová, Characterization
of cut-and-project sets using a binary operation, Lett. Math. Phys. 54 (2000), 1-10.
42. 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.
43. 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.
44. 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.
45. 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.
46. 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.
47. 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
48. Z. Masáková, J.
Patera, E. Pelantová, Selfsimilar Delone
sets and quasicrystals, J. Phys. A: Math. Gen. 31 (1998), 4927-4946.
49. Z. Masáková, J.
Patera, E. Pelantová, Minimal distances
in quasicrystals, J. Phys. A: Math. Gen. 31 (1998), 1539-1552.
50. Z. Masáková, J.
Patera, E. Pelantová, Inflation centers
of the cut and project quasicrystals, J. Phys. A: Math. Gen. 31 (1998), 1443-1453.
51. M. Havlíček, J.
Patera, E. Pelantová, On Lie gradings
II., Lin. Alg. and its Applic. 277
(1998), 97--125.
52. J.P. Gazeau, J. Patera, E. Pelantová, tau-Haar wavelets in the plane, J. of Math. Phys. 39, 8 (1998), 4201-4212.
53. A. Perelomov, E.
Pelantová, A note on Diophantine
equations related to quasicrystals, Theor. and Math. Phys. 115, 3 (1998), 737-739.
54. 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.
55. M. Havlíček, J.
Patera, E. Pelantová, Fine gradings of
real forms of sl(3,C), Physics of
Atomic Nuclei, 61, 12 (1998),
2183-2186.
56. J. Patera, E.
Pelantová, R. Twarock, Quasicrystal Lie
algebras, Physical Letters A, 246,
(1998) 209-213, 1-10.
57. 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
58. 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.
59. 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.
60. 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.
61. 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.
62. 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.
63. V. Rödl, E.
Šiňajová, Note on Ramsey Numbers and
Self-Complementary Graphs, Mathematica Slovaca, 45 (1995), 243-249.
64. E. Humhal,
E.Pelantová, O posloupnosti harmonických
čísel, Rozhledy mat. fyz. 72
(1995), 184-190.
65. V. Rödl, E.
Šiňajová, Note on Independent Sets in
Steiner Systems, Random Structures and Algorithms 5, 1 (1994), 183-190.
66. 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.
67. E. Šiňajová, A Note
on Vector Representation of Graphs, Discrete Math. 89 (1991), 315-317.
68. J. Reiterman, E.
Šiňajová, Geometrická dimenze grafů, Acta
Polytechnica 14 (1990) 53-63.
69. V. Rödl, J.
Reiterman, E. Šiňajová, Geometrical
Embeddings of Graphs, Dicrete Math. 74
(1989), 291-319.
70. V. Rödl, J.
Reiterman, E. Šiňajová, Embeddings of
Graphs into Euclidean Spaces, Dicrete Comput. Geometry 4 (1989),
349-364.
71. M. Maehara, V. Rödl,
J. Reiterman, E. Šiňajová, Embeddings of Trees in Euclidean Spaces, Graphs and Combinatorics 4, (1988), 43-47.
72. V. Rödl, J.
Reiterman, E. Šiňajová, M. Tůma, Threshold
hypergraphs, Dicrete Math. 54,
(1985) 193-200.
73. V. Rödl, J. Reiterman,
E. Šiňajová, M. Tůma, Note on Threshold
Hypergraphs, Acta Polytechnica (1982) 39-46.
74.
L.
Balková, E. Pelantová: A Note on Symmetries in the Rauzy Graph and Factor
Frequencies, submitted to Theoret. Comput. Sci.
75.
Z. Masáková, E. Pelantová, Relation
between powers of factors and recurrence function characterizing Sturmian words
submitted to Theoret. Comput.
Sci. arXiv:0809.0603
76.
Z. Masáková, J. Patera, E. Pelantová, s-convexity, model sets and their relation,
MSRI Preprint No. 1999-040 (1999)
77.
Z. Masáková, E. Pelantová, A note on periodic s-convex sets, preprint (1999)
78.
L.-S. Guimond, Z. Masáková, J. Patera, E. Pelantová,
Deterministically broken periodicity of
linear congruential generators using quasi-crystals, preprint CRM-2620
(1999).
79.
Z. Masáková, J. Patera, E. Pelantová, Quadratic Irrationalities and Geometric
Properties of One Dimensional Quasicrystals, preprint CRM-2565 (1998)
80.
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.
81.
E. Pelantová, Gradace
Lieových algeber, habillomová práce ČVUT 1998.
82.
E. Šiňajová, Reprezentácie grafov v euklidovskom
priestore, disertační práce MFF UK 1991.
Učebné texty:
83.
E. Pelantová, Matematická analýza II, skriptum ČVUT,
2007.
84.
E. Pelantová, J. Vondráčková, Matematická analýza I,
skriptum ČVUT, 2004.
85.
E. Pelantová, J. Vondráčková, Cvičení
z matematické analýzy - integrální počet a řady, skriptum ČVUT, druhé vydání 2002.
86.
E. Pelantová, J. Vondráčková, Cvičení
z matematické analýzy, skriptum ČVUT, třetí vydání 2001.
87.
J. Tolar, M. Beneš, Č. Burdík, G.
Chadzitaskos, F. Gemperle, et al., Mathematical
Methods in the Physics of Microworld, In: Proceedings of Workshop ČVUT 2000, 2001, 2002, 2003.
88.
J. Tolar,
M. Beneš, Č. Burdík, G. Chadzitaskos, F. Gemperle, et al., Rigorous Models of
Integrable and Chaotic Systems, In: Proceedings of Workchop ČVUT 1997, 1998, 1999.
89.
J. Tolar, M.
Havlíček,