Article
Linear Recursive Odometers and Beta-Expansions
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Abstract
The aim of this paper is to study the connection between differ- ent properties related to β-expansions. In particular, the relation between two conditions, both ensuring purely discrete spectrum of the odometer, is analyzed. The first one is the so-called Hypothesis B for the G-odometers and the second one is denoted by (QM) and it has been introduced in the framework of tilings associated to Pisot β-numerations.
Keywords
beta-expansions, odometer, purely discrete spectrum, finiteness property.
Citation
Iaco, M. R., Steiner, W., & Tichy, R. F. (2016). Linear recursive odometers and beta-expansions. Uniform Distribution Theory, 11(1), 175–186. https://doi.org/10.1515/udt-2016-0010
M. R. Iaco, W. Steiner and R. F. Tichy, “Linear recursive odometers and beta-expansions,” Uniform Distribution Theory, vol. 11, no. 1, pp. 175–186, 2016, doi: 10.1515/udt-2016-0010.
Iaco MR, Steiner W, Tichy RF. Linear recursive odometers and beta-expansions. Uniform Distribution Theory. 2016;11(1):175–186. doi:10.1515/udt-2016-0010.
Iaco, M. R., Steiner, W. and Tichy, R. F. (2016), ‘Linear recursive odometers and beta-expansions’, Uniform Distribution Theory, 11(1), pp. 175–186. Available at: https://doi.org/10.1515/udt-2016-0010.
Iaco, Maria Rita, et al. “Linear Recursive Odometers and Beta-expansions.” Uniform Distribution Theory, vol. 11, no. 1, 2016, pp. 175–186. https://doi.org/10.1515/udt-2016-0010.
Iaco, Maria Rita, Wolfgang Steiner, and Robert F. Tichy. “Linear Recursive Odometers and Beta-expansions.” Uniform Distribution Theory 11, no. 1 (2016): 175–186. https://doi.org/10.1515/udt-2016-0010.
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Published by: Engineering Journals
