-
1
-
-
0003151714
-
Pisot numbers and greedy algorithm
-
de Gruyter, Berlin
-
S. Akiyama. Pisot numbers and greedy algorithm. In Number theory (Eger, 1996), pages 9-21. de Gruyter, Berlin, 1998.
-
(1998)
Number theory (Eger, 1996)
, pp. 9-21
-
-
Akiyama, S.1
-
2
-
-
0010530332
-
Self affine tiling and Pisot numeration system
-
Kluwer Acad. Publ, Dordrecht
-
S. Akiyama. Self affine tiling and Pisot numeration system. In Number theory and its applications (Kyoto, 1997), volume 2 of Dev. Math., pages 7-17. Kluwer Acad. Publ., Dordrecht, 1999.
-
(1999)
Number theory and its applications (Kyoto, 1997), volume 2 of Dev. Math
, pp. 7-17
-
-
Akiyama, S.1
-
4
-
-
0036553823
-
On the boundary of self affine tilings generated by Pisot numbers
-
S. Akiyama. On the boundary of self affine tilings generated by Pisot numbers. J. Math. Soc. Japan, 54(2):283-308, 2002.
-
(2002)
J. Math. Soc. Japan
, vol.54
, Issue.2
, pp. 283-308
-
-
Akiyama, S.1
-
6
-
-
0037028441
-
On canonical number systems
-
S. Akiyama and A. Pethö. On canonical number systems. Theoret. Comput. Sci., 270(12):921-933, 2002.
-
(2002)
Theoret. Comput. Sci
, vol.270
, Issue.12
, pp. 921-933
-
-
Akiyama, S.1
Pethö, A.2
-
7
-
-
3242729657
-
A certain finiteness property of Pisot number systems
-
S. Akiyama, H. Rao, and W. Steiner. A certain finiteness property of Pisot number systems. J. Number Theory, 107(1): 135-160, 2004.
-
(2004)
J. Number Theory
, vol.107
, Issue.1
, pp. 135-160
-
-
Akiyama, S.1
Rao, H.2
Steiner, W.3
-
8
-
-
23644441671
-
A survey on topological properties of tiles related to number systems
-
S. Akiyama and J. M. Thuswaldner. A survey on topological properties of tiles related to number systems. Geom. Dedicata, 109:89-105, 2004.
-
(2004)
Geom. Dedicata
, vol.109
, pp. 89-105
-
-
Akiyama, S.1
Thuswaldner, J.M.2
-
9
-
-
2442599972
-
Arithmetics on number systems with irrational bases
-
P. Ambroz, C. Frougny, Z. Másáková, and E. Pelantová. Arithmetics on number systems with irrational bases. Bull. Belgian Math. Soc. Simon Stevin, 10:641-659, 2003.
-
(2003)
Bull. Belgian Math. Soc. Simon Stevin
, vol.10
, pp. 641-659
-
-
Ambroz, P.1
Frougny, C.2
Másáková, Z.3
Pelantová, E.4
-
10
-
-
0037903858
-
Pisot-cyclotomic quasilattices and their symmetry semigroups
-
Amer. Math. Soc, Providence, HI
-
D. Earache, B. Champagne, and J.-P. Gazeau. Pisot-cyclotomic quasilattices and their symmetry semigroups. In Quasicrystals and discrete geometry (Toronto, ON, 1995), volume 10 of Fields Inst. Monogr., pages 15-66. Amer. Math. Soc., Providence, HI, 1998.
-
(1998)
Quasicrystals and discrete geometry (Toronto, ON, 1995), volume 10 of Fields Inst. Monogr
, pp. 15-66
-
-
Earache, D.1
Champagne, B.2
Gazeau, J.-P.3
-
12
-
-
0001313992
-
D́veloppement en base de Pisot et répartition modulo 1
-
A. Bertrand. D́veloppement en base de Pisot et répartition modulo 1. C. R. Acad. Sc., 385:419-421, 1977.
-
(1977)
C. R. Acad. Sc
, vol.385
, pp. 419-421
-
-
Bertrand, A.1
-
13
-
-
0032584486
-
Betan-tegers as natural counting systems for quasicrystals
-
Č. Burdik, C. Frougny, J. P. Gazeau, and R. Krejcar. Betan-tegers as natural counting systems for quasicrystals. J. Phys. A, 31(30):6449-6472, 1998.
-
(1998)
J. Phys. A
, vol.31
, Issue.30
, pp. 6449-6472
-
-
Burdik, C.1
Frougny, C.2
Gazeau, J.P.3
Krejcar, R.4
-
14
-
-
0038729591
-
Connectedness of geometric representation of substitutions of Pisot type
-
V. Canterini. Connectedness of geometric representation of substitutions of Pisot type. Bull. Belg. Math. Soc. Simon Stevin, 10(1):77-89, 2003.
-
(2003)
Bull. Belg. Math. Soc. Simon Stevin
, vol.10
, Issue.1
, pp. 77-89
-
-
Canterini, V.1
-
15
-
-
23044529877
-
Geometric representation of substitutions of Pisot type
-
5121-5144 electronic
-
V. Canterini and A. Siegel. Geometric representation of substitutions of Pisot type. Trans. Amer. Math. Soc., 353(12):5121-5144 (electronic), 2001.
-
(2001)
Trans. Amer. Math. Soc
, vol.353
, Issue.12
-
-
Canterini, V.1
Siegel, A.2
-
16
-
-
0037903863
-
Substitutions et β-systèmes de numération
-
S. Fabre. Substitutions et β-systèmes de numération. Theoret. Comput. Sci., 137(2):219-236, 1995.
-
(1995)
Theoret. Comput. Sci
, vol.137
, Issue.2
, pp. 219-236
-
-
Fabre, S.1
-
17
-
-
0026998904
-
Confluent linear numeration systems
-
C. Frougny. Confluent linear numeration systems. Theoret. Comput. Sci., 106(2):183-219, 1992.
-
(1992)
Theoret. Comput. Sci
, vol.106
, Issue.2
, pp. 183-219
-
-
Frougny, C.1
-
18
-
-
34547286745
-
On-line addition in real base
-
Mathematical foundations of computer science 1999 Szklarska Porpolhk eba, of, Springer, Berlin
-
C. Frougny. On-line addition in real base. In Mathematical foundations of computer science 1999 (Szklarska Porpolhk eba), volume 1672 of Lecture Notes in Comput. Sci., pages 1-11. Springer, Berlin, 1999.
-
(1999)
Lecture Notes in Comput. Sci
, vol.1672
, pp. 1-11
-
-
Frougny, C.1
-
19
-
-
2942531094
-
Complexity of infinite words associated with beta-expansions
-
C. Frougny, Z. Masáková, and E. Pelantová. Complexity of infinite words associated with beta-expansions. Theor. Inform. Appl., 38(2):163-185, 2004.
-
(2004)
Theor. Inform. Appl
, vol.38
, Issue.2
, pp. 163-185
-
-
Frougny, C.1
Masáková, Z.2
Pelantová, E.3
-
21
-
-
85010006519
-
Geometric study of the set of β-integers for a Perron number and mathematical quasicrystals
-
J.-P. Gazeau and J.-L. Verger-Gaugry. Geometric study of the set of β-integers for a Perron number and mathematical quasicrystals. J. Théor. Nombres Bordeaux, 16:1-25, 2004.
-
(2004)
J. Théor. Nombres Bordeaux
, vol.16
, pp. 1-25
-
-
Gazeau, J.-P.1
Verger-Gaugry, J.-L.2
-
22
-
-
85009872877
-
Combinatorial properties of infinite words associated with cut-and-project sequences
-
L.-S. Guimond, Z. Másáková, and E. Pelantová. Combinatorial properties of infinite words associated with cut-and-project sequences. J. Théor. Nombres Bordeaux, 15:697-725, 2003.
-
(2003)
J. Théor. Nombres Bordeaux
, vol.15
, pp. 697-725
-
-
Guimond, L.-S.1
Másáková, Z.2
Pelantová, E.3
-
23
-
-
18444385058
-
Arithmetics of betarexpansions
-
L.-S. Guimond, Z. Masáková, and E. Pelantová. Arithmetics of betarexpansions. Acta Arith., 112(1):23-40, 2004.
-
(2004)
Acta Arith
, vol.112
, Issue.1
, pp. 23-40
-
-
Guimond, L.-S.1
Masáková, Z.2
Pelantová, E.3
-
25
-
-
0033478409
-
Geometric models for quasicrystals I. Delone sets of finite type
-
J. C. Lagarias. Geometric models for quasicrystals I. Delone sets of finite type. Discrete Comput. Geom., 21(2):161-191, 1999.
-
(1999)
Discrete Comput. Geom
, vol.21
, Issue.2
, pp. 161-191
-
-
Lagarias, J.C.1
-
27
-
-
0038831373
-
Frontière du fractal de Rauzy et systeme de numération complexe
-
A. Messaoudi. Frontière du fractal de Rauzy et systeme de numération complexe. Acta Arith., 95(3):195-224, 2000.
-
(2000)
Acta Arith
, vol.95
, Issue.3
, pp. 195-224
-
-
Messaoudi, A.1
-
28
-
-
34547277192
-
-
Y. Meyer. Algebraic numbers and harmonic analysis. North-Holland Publishing Co., Amsterdam, 1972. North-Holland Mathematical Library, 2.
-
Y. Meyer. Algebraic numbers and harmonic analysis. North-Holland Publishing Co., Amsterdam, 1972. North-Holland Mathematical Library, Vol. 2.
-
-
-
-
29
-
-
0037848342
-
Quasicrystals, Diophantine approximation and algebraic numbers
-
Springer, Berlin
-
Y. Meyer. Quasicrystals, Diophantine approximation and algebraic numbers. In Beyond quasicrystals (Les Hauches, 1994), pages 3-16. Springer, Berlin, 1995.
-
(1995)
Beyond quasicrystals (Les Hauches, 1994)
, pp. 3-16
-
-
Meyer, Y.1
-
30
-
-
0002421044
-
Meyer sets and their duals
-
Kluwer Acad. Publ, Dordrecht
-
R. V. Moody. Meyer sets and their duals. In The mathematics of long-range aperiodic order (Waterloo, ON, 1995), volume 489 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., pages 403-441. Kluwer Acad. Publ., Dordrecht, 1997.
-
(1997)
The mathematics of long-range aperiodic order (Waterloo, ON, 1995), volume 489 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci
, pp. 403-441
-
-
Moody, R.V.1
-
31
-
-
0010564057
-
On the β-expansions of real numbers
-
W. Parry. On the β-expansions of real numbers. Acta Math. Acad. Sci. Hungar., 11:401-416, 1960.
-
(1960)
Acta Math. Acad. Sci. Hungar
, vol.11
, pp. 401-416
-
-
Parry, W.1
-
32
-
-
34547265331
-
Substitutions in Dynamics, Arithmetics and Combinatorics (Berthe V., Ferenczi S., Mauduit C. and Siegel A.)
-
Berlin
-
N. Pytheas Fogg. Substitutions in Dynamics, Arithmetics and Combinatorics (Berthe V., Ferenczi S., Mauduit C. and Siegel A.). Springer Lecture Notes in Mathematics, 1794, Berlin, 2002.
-
(2002)
Springer Lecture Notes in Mathematics
, vol.1794
-
-
Pytheas Fogg, N.1
-
33
-
-
0000066640
-
Nombres algébriques et substitutions
-
G. Rauzy. Nombres algébriques et substitutions. Bull. Soc. Math. France, 110(2):147-178, 1982.
-
(1982)
Bull. Soc. Math. France
, vol.110
, Issue.2
, pp. 147-178
-
-
Rauzy, G.1
-
34
-
-
34547283915
-
-
G. Rauzy. Rotations sur les groupes, nombres algébriques et substitutions. Séminaire de théorie des nombres, 1987-1988.
-
G. Rauzy. Rotations sur les groupes, nombres algébriques et substitutions. Séminaire de théorie des nombres, 1987-1988.
-
-
-
-
35
-
-
0040341424
-
Representations for real numbers and their ergodic properties
-
A. Rényi. Representations for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hungar, 8:477-493, 1957.
-
(1957)
Acta Math. Acad. Sci. Hungar
, vol.8
, pp. 477-493
-
-
Rényi, A.1
-
36
-
-
23044534943
-
Canonical number systems, counting automata and fractals
-
K. Scheicher and J. M. Thuswaldner. Canonical number systems, counting automata and fractals. Math. Proc. Cambridge Philos. Soc., 133(1):163-182, 2002.
-
(2002)
Math. Proc. Cambridge Philos. Soc
, vol.133
, Issue.1
, pp. 163-182
-
-
Scheicher, K.1
Thuswaldner, J.M.2
-
37
-
-
0000333975
-
On periodic expansions of Pisot numbers and Salem numbers
-
K. Schmidt. On periodic expansions of Pisot numbers and Salem numbers. Bull. London Math. Soc., 12:269-278, 1980.
-
(1980)
Bull. London Math. Soc
, vol.12
, pp. 269-278
-
-
Schmidt, K.1
-
38
-
-
33751141500
-
Metalic phase with with long-range orientational order and no translational symmetry
-
D. Shechtman, I. Blech, D. Gratias, and J. Cahn. Metalic phase with with long-range orientational order and no translational symmetry. Phys. Rev. Lett., 53:1951-1953, 1984.
-
(1984)
Phys. Rev. Lett
, vol.53
, pp. 1951-1953
-
-
Shechtman, D.1
Blech, I.2
Gratias, D.3
Cahn, J.4
-
39
-
-
0036803749
-
Self-affine tiling via substitution dynamical systems and Rauzy fractals
-
V. F. Sirvent and Y. Wang. Self-affine tiling via substitution dynamical systems and Rauzy fractals. Pacific J. Math., 206(2):465-485, 2002.
-
(2002)
Pacific J. Math
, vol.206
, Issue.2
, pp. 465-485
-
-
Sirvent, V.F.1
Wang, Y.2
-
40
-
-
0000375151
-
Substitutions, adic transformations, and beta-expansions
-
Amer. Math. Soc, Providence, RI
-
B. Solomyak. Substitutions, adic transformations, and beta-expansions. In Symbolic, dynamics and its applications (New Haven, CT, 1991), volume 135 of Contemp. Math., pages 361-372. Amer. Math. Soc., Providence, RI, 1992.
-
(1992)
Symbolic, dynamics and its applications (New Haven, CT, 1991), volume 135 of Contemp. Math
, pp. 361-372
-
-
Solomyak, B.1
|