A CERTAIN FINITENESS PROPERTY OF PISOT NUMBER SYSTEMS
By Shigeki Akiyama, Hui Rao, Wolfgang Steiner. 2004
52 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/03cb141a8ea005f1df4063a944685ee27d4aa083
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
In Computational Theory and Mathematics
- Anne Siegel
- Val'erie Berth'e
- Hui Rao
- Shigeki Akiyama
- Marcy Barge
- Hiromi Ei
- Shunji Ito
- Klaus Scheicher
Citations in the corpus
- SYMMETRIC SHIFT RADIX SYSTEMS AND FINITE EXPANSIONS (2007, background): “The proof is a generalisation of ideas from [4, 7, 8, 11, 12].”
- On the Pisot Substitution Conjecture (2015, background): “The conditions (W) and (H) are equivalent (see [9]).”
- Atomic surfaces, tilings and coincidence I. irreducible case (2006, background): “Several classes of Pisot numbers are proved to have (W)-property ([FS, ARS ]) and hence the associated collections J are tilings.”
- Tilings associated with beta-numeration and substitutions. (2005, background): “An algorithm which can tell whether a given Pisot β has property (F) or (W) is described in [ARS04].”
- Beta-expansions, natural extensions and multiple tilings associated with Pisot units (2009, unknown): “Classes of Pisot numbers satisfying (W) are given in [FS92, Hol96, ARS04 , BBK06].”