Citační index
Edita Pelantová-Šiňajová
Guimond
L.-S., Masáková Z., Pelantová E., Arithmetics on beta-expansions, Acta
arithmetica 112 (2004), 23-40.
1.
Akiyama S., Bassino F., Frougny Ch., Automata
for arithmetic Meyer sets, Proceedings of LATIN 04, Lectures Notes in
Computer Science 2976 (2004)
252-261.
2.
Akiyama S., Bassino
F., Frougny
Ch., Arithmetic Meyer sets and Finite
Automata, to appear in Journal of Information and Computation
3. Bernat J., Computation of L+ for Pisot numbers, preprint (2004), Institut de Mathématiques de Luminy, Université de Marseille.
4. Bernat J., Arithmetic automaton for Perron numbers, preprint (2004), Institut de Mathématiques de Luminy, Université de Marseille.
5. P. Ambrož., Nonstandard numeration systems, zasláno do Acta polytechnica (2005)
Gazeau J.-P., Patera J., Pelantová E. Tau-wavelets
in the plane J. math. phys. 39 pp.4201-4212.
6. Antoine J.P., Kouagou Y.B., Lambert D., et al., An algebraic approach to discrete dilations. Application to discrete wavelet transforms, J Fourier anal appl 6 (2000) pp.113-141.
7. Cotfas N., G-model sets and their self-similarities J phys A-math gen 32 (1999) pp.8079-8093
8. Bernuau G., Wavelets based adapted to a self-similar quasicrystal , J. Math Phys. 39 No. 8, (1998) pp. 4213-4225.
Havlíček M., Patera J., Pelantová E., On Lie gradings
II, Linear Algebra and Applic. 277 (1998),
pp.97-125
9. de Guise H, de Montigny M, Graded contractions of Lie algebras and central extensions, J. Phys A, Math. Gen. 33 (2004) pp. 4039-4057
10. Svobodová M., Hierarchy of Gradings on sl(3,C) and Summary of fine Gradings on sl(4,C), Proceedings of Group24, Conference Series Number 173 (2004) pp. 699-702
11. Svobodová M., Fine gradings on non-simple Lie algebra: Example of o(4,C), Czechsl. J. Phys. 54 (2004) pp. 509-516
12. Hrivnák J., Novotný P., Symmetries and graded contractions of the Pauli graded sl(3,C), Proceedings of Symmetry Methods in Physics, Eds. Burdík, Navrátil, Pošta, (2004)
Havlíček M., Patera J., Pelantová E., On Lie gradings
III, Linear Algebra and Applic. 314 (2000),
pp.1-47
13. Bahturin YA, Zaicev MV, Group gradings on matrix algebras, Can. Math. Bull. 45 (2002) pp. 499-508
14. Svobodová M., Hierarchy of Gradings on sl(3,C) and Summary of fine Gradings on sl(4,C), Proceedings of Group24, Conference Series Number 173 (2004) pp. 699-702
15. Hrivnák J., Novotný P., Symmetries and graded contractions of the Pauli graded sl(3,C), Proceedings of Symmetry Methods in Physics, Eds. Burdík, Navrátil, Pošta, (2004)
J. Patera,
16. Bahturin Y.A. Shestakov I.P., Zaicev M.V., Gradings on simple
Patera
J, Pelantova E, Twarock R Quasicrystal Lie algebras Phys Lett A 246
(1998) pp.209-213
17. Mazorchuk V On quasicrystal Lie algebras J math phys 43 (2002) pp.2791-2801
Reiterman
J., Rödl V., Šiňajová E., et al. Threshold hypergraphs Discrete
math 54 (1985) pp.193-200
18. A.D.Taylor, W.S.Zwicker Simple games,
Princeton Univ. Press,
19. Francel Ma, John DJ, 3-regular hypergraphs that are decomposable and threshold, Ars Combinatorica, 67 (2003) pp.3-26
20. Chernyak AA Interchange theorems for hypergraphs and factorization of their degree sequences Eur J Combin 20 (1999) pp.17-27
21. Chernyak AA, Chernyak ZA Note on complexity of computing the domination of binary systems Discrete appl math 73 (1997) pp.289-295
22. Margot F Some complexity results about threshold graphs Discrete appl math 49 (1994) pp.299-308
23. Wang C, Williams AC The threshold weight of a graph J Graph theor 15 (1991) pp.235-249
24. Wang C, Williams AC The threshold weight of a graph J Graph theor 15 (1991) pp.235-249
25. Boros E On shift stable hypergraphs Discrete math 87 (1991) pp.81-84
26. Crama Y Dualization of regular Boolean functions Discrete appl math 16 (1987) pp.79-85
27. Klivans C., Obstruction to shiftedness, Discrete and Comput. Geometry 33 (2005) pp.535-545
Rödl V., Šiňajová E., Note on
independent sets in Steiner systems Random. struct. algor.
5 No.1 (1994) pp.183-190
28. Bertram-Kretzberg C, Hofmeister T, Lefmann H 0-1 matrices and forbidden hypergraphs Comb probab comput 8 No. 5(1999) pp. 417-427
29. Bertram-Kretzberg C, Lefmann H, The algorithmic aspects of uncrowded hypergraphs Siam J. comput 29 (1999) pp. 201-230
30. Grable DA, Phelps KT Random methods in design theory: A survey J comb des 4 (1996) pp.255-273
Havlíček M, Klimyk AU, Pelantová E, Fairlie
algebra Uq(so3):
tensor product, oscillator realizations and root of unity
31. I.I. Kachurik Representations of the Q-deformed Euclidean algebra Uq(iso3) and spectra of their operators Nonlinear math. Phys. 4 (1997) pp. 516- 524
32. Yu. S. Samilenko, L. B. Turowska Semilinear realtions and *-representations of deformations od SO(3), Rep. Math. Phys. pp. 1-20
Šiňajová E, A
note on vector representation of graphs Discrete
math 89 No.3 (1991) pp.315-317
33. Alekseev VE, Lozin VV On orthogonal representations of graphs Discrete math 226 )(2001) pp. 359-363
Reiterman J, Rödl V, Šiňajová
34. Kotlov A, Lovasz L, Vempala S The Colin De Verdiere number and sphere representations of a graph Combinatorica 17 (1997) pp.483-521
Reiterman J, Rödl V, Šiňajová
E Geometrical embeddings of graphs Discrete math 74 (1989)
pp.291-319
35. Kotlov A, Lovasz L, Vempala S The Colin De Verdiere number and sphere representations of a graph Combinatorica 17 (1997) pp.483-521
36. Linial N, London E, Rabinovich Y Geometry of graphs and some of its algorithmic applications Combinatorica 15 (1995) pp.215-245
C. Frougny,
Z. Masáková,
37. Bernat J., Computation of L+ for Pisot numbers, preprint (2004), Institut de Mathématiques de Luminy, Université de Marseille.
L.S. Guimond, Z. Masáková,
38. Bernat J., Continued fractions and numeration in Fibonacci basis, preprint (2004), Institut de Mathématiques de Luminy, Université de Marseille.
39. Berthé V., Ferenczi S., Zamboni L.Q., Interactions between Dynamics, Arithmetics and Combinatorics: the Good, the Bad and the Ugly, (2005), to appear in Contemporary Mathematics.
P.
40. Bernat J., Arithmetic automaton for Perron numbers, preprint (2004), Institut de Mathématiques de Luminy, Université de Marseille.
41. Bernat J., Computation of L+ for Pisot numbers, preprint (2004), Institut de Mathématiques de Luminy, Université de Marseille.
Z. Masáková,
42. A. Cervellino, T. Haibach, W. Steurer, Structure solution of the basic decagonal Al-Co-Ni phase by the atomic surfaces modelling method, Acta Crystallogr. B 58 (2002), 8-33.
43. W. Steurer, A. Cervellino, Quasiperiodicity in decagonal phases forced by inclined net planes? Acta Crystallogr. A 57 (2001), 333-340.
Z. Masáková, J. Patera
and
44. E.O. Harriss, J.S.W. Lamb, Canonical substitution tilings of Ammann-Beenker type, Teor. Comput. Sci. 319 (2004), 241-279.
45. R.W.Williams The Penrose, Ammann and DA tiling spaces are Cantor set fiber bundles, Ergod. Th & Dynma. Sys. 21 (2001), 1883-1901.
46. M. Andrle, Č. Burdík, J.-P. Gazeau Bernuau spline Wavelets abd Sturmian Sequences , J.Fourier Anal. Appl., 10 No. 3 (2004), 269-300.
47. M. Andrle Ensambles modéles et analyse en ondelettes adaptées , PhD thesis, Université Paris 7, (2002) 112 str.
48. Jan Patera, Generating the Fibonacci chain in O(logn) space and O(n) time,, Phys. Part. Nuclei 33 (2002), S118-S122 Suppl. 1.
Z. Masáková, J. Patera, E. Pelantová, Selfsimilar Delone sets and quasicrystals, J. Phys. A: Math. Gen. 31 (1998), 4927-4946.
49. JL Verger-Gaugry, J Wolny, Mathematical quasicrystals with toric internal spaces, diffraction and rarefaction, Mat.Sci.Eng. A - Struct. 294 (2000), 446-449.
50. M. Svobodová, s-convexity and cut-and-project sets, Ferroelectrics 250 (2001), 175-177.
51. W. Steurer, A. Cervellino, Quasiperiodicity in decagonal phases forced by inclined net planes? Acta Crystallogr. A 57 (2001), 333-340.
52. Cotfas N., On the self-similarities of the rhombic Penrose tilings, Proceedings of Symmetry methods in Physics, Eds. Burdík, Navrátil, Pošta, (2004)
Z. Masáková, J. Patera, E. Pelantová, Minimal distances in quasicrystals, J. Phys. A: Math. Gen. 31 (1998), 1539-1552
53. Harriss EO, Lamb JSW, Canonical substitutions tilings of Ammann-Beenker type, Theor. Comput. Sci. 319 (2004), 241-279.
54. R. Twarock, An affine extension of non-crystallographic Coxeter groups with applications in the theory of quasicrystals and integrable systems, Czech J. Phys. 51 (2001), 400-408.
55. Cotfas N, Permutation representations defined by G-clusters with application to quasicrystals, Lett. Math. Phys. 47 (1999), 111-123.
56. R. Twarock, A Calogero-Sutherland model based on the aperiodic Virasoro algebra, Int. J. Mod. Phys. A 15 (2000), 4179-4189.
57. R. Twarock, Special Lie
algebras for quasicrystals, Mat. Sci.
58. R. Twarock, Aperiodic Virasoro algebra, J. Math. Phys. 41 (2000), 5088-5106.
59. J.P. Antoine, L. Jacques, R. Twarock, Wavelet analysis of a quasiperiodic tiling with fivefold symmetry, Phys. Lett. A 261 (1999), 265-274.
Z. Masáková, J. Patera, E. Pelantová, Inflation centers of the cut and project quasicrystals, J. Phys. A: Math. Gen. 31 (1998), 1443-1453
60. N. Cotfas, Finite graphs associated with a cut-and-project set, Czech J. Phys. 51 (2001), 301-304.
61. N. Cotfas, G-model sets and their self-similarities, J. Phys. A Math. Gen. 32 (1999), 8079-8093.
62. J.P. Antoine, L. Jacques, R. Twarock, Wavelet analysis of a quasiperiodic tiling with fivefold symmetry, Phys. Lett. A 261 (1999), 265-274.
63. N. Cotfas, On the self-similarities of a model set, J. Phys. A Math. Gen. 32 (1999), L165-L168.
64. N. Cotfas, On the affine self-similarities of the three-dimensional Penrose pattern, J. Phys. A Math. Gen. 31 (1998), 7273-7277.
65. N. Cotfas, On the self-similarities of two icosahedral patterns, Z. Kristallogr. 213 (1998), 311-315.
E. Pelantová, Substitution system for quasiperiodic sequences, Proceedings of 3rd IMACS-IEEE, Athens 1999 World Sci. Eng. Soc. Press (1999), 360-366.
66. Z. Masáková, Quasiperiodic self-similar structures in Modern Applied Mathematics Techniques in Circuits, Systems and Control, Proc. of the 3rd international IMACS IEEE conferrence, Ed. N. E. Mastorakis, WSES-press (1999), 94-99
Z. Masáková, J. Patera, E. Pelantová, Quadratic Irrationalities and Geometric Properties of One Dimensional Quasicrystals, preprint CRM-2565 (1998)
67. R. Twarock, Recurrence times in dynamical systems via a quasicrystal approach, Phys. of Element. Part. and Atom. Nucl., 33 7 (2002) pp. 217-224.
Maehara H, Reiterman J, Rödl V, Šiňajová, Embedding of
trees in euclidean spaces Graph combinator 4 (1988) pp.43-47
68. Bowers Pl The Borsuk dimension of a graph and Borsuk partition conjecture for finite sets Graph combinator 6 (1990) pp.207-222
Pelantová E, Perelomov AM, Diophantine
equations related to quasicrzstals: a note Theor. Math. Phys. 115
No.3, (1998) pp.737-739
69. Masáková Z, Patera J, Zich J, Classification of Voronoi and Delone tiles of quasicrystals: II Circular acceptance window of arbitrary size J. Phys.A: Math.Gen. 36 )(2003) pp. 1895-1912
70. Z. Masáková, J. Patera, J. Zich, Classification of Voronoi and Delone tiles of quasicrystals III:; decagonal acceptance window of any size J. Phys. A: Math. Gen. 38 (2005), 1947-1960.
Č.
71.
Champagne B. Méthodes de Coxeter pour la génération de quasi-réseaux
PhD thesis, Université de Montréal (1998)
M. Havlíček, J. Patera,
72. Bahturin Y.A. Shestakov I.P., Zaicev M.V., Gradings on simple
73. Hrivnák J., Novotný P., Symmetries and graded contractions of the Pauli graded sl(3,C), Proceedings of Symmetry Methods in Physics, Eds. Burdík, Navrátil, Pošta, (2004)
M. Havlíček, J. Patera, E. Pelantová, J. Tolar, On fine gradings and their symmetries, Czechoslov. J. of Phys. 51 (2001), 383-391.
74. Bahturin Y.A. Shestakov I.P., Zaicev M.V., Gradings on simple
75. Svobodová M., Hierarchy of fine gradings on sl(3,C) and summary of fine gradings on sl(4,C), Institut of Phys. Conference Series 173 (2003) 699-702