A certain finiteness property of Pisot number systems
Akiyama, Shigeki ; Rao, Hui ; Steiner, Wolfgang
HAL, hal-00023233 / Harvested from HAL
Text on HAL
In the study of substitutative dynamical systems and Pisot number systems, an algebraic condition, which we call `weak finiteness', plays a fundamental role. It is expected that all Pisot numbers would have this property. In this paper, we prove some basic facts about `weak finiteness'. We show that this property is valid for cubic Pisot units and for Pisot numbers of higher degree under a dominant condition.
Publié le : 2004-07-05
Classification:  nombre de Pisot,  systèmes de numération,  11K16, 11A63, 11R06, 37A45, 37B10,  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00023233,
     author = {Akiyama, Shigeki and Rao, Hui and Steiner, Wolfgang},
     title = {A certain finiteness property of Pisot number systems},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00023233}
}

Akiyama, Shigeki; Rao, Hui; Steiner, Wolfgang. A certain finiteness property of Pisot number systems. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00023233/