P. Ambroż
D. Dombek
Z. Masáková
E. Pelantová
Numbers with integer expansion in the numeration system with negative base
ArXiv:0912.4597v3 [math.NT]
Č. Burd\'ık
C. Frougny
J. P. Gazeau
R. Krejcar
1998
Beta-integers as natural counting systems for quasicrystals
J. Phys. A
31
30
6449–6472
10.1088/0305-4470/31/30/011
D. Dombek
Z. Masáková
E. Pelantová
Number representation using generalized (-β)-transformation
ArXiv:1102.3079v1 [cs.DM]
P. Góra
2007
Invariant densities for generalized β-maps
Ergodic Theory Dynam. Systems
27
5
1583–1598
10.1017/S0143385707000053
S. Ito
T. Sadahiro
2009
Beta-expansions with negative bases
Integers
9
A22, 239–259
10.1515/INTEG.2009.023
L. Liao
W. Steiner
Dynamical properties of the negative beta-transformation
ArXiv:1101.2366v2 [math.DS]
W. Parry
1960
On the β-expansions of real numbers
Acta Math. Acad. Sci. Hungar.
11
401–416
10.1007/BF02020954
W. Steiner
On the structure of (-β)-integers
ArXiv:1011.1755v2 [math.NT]