A certain finiteness property of Pisot number systems

作者：Akiyama S^*; Rao H; Steiner W

来源：Journal of Number Theory, 2004, 107(1): 135-160.

DOI：10.1016/j.jnt.2004.02.001

• Pisot number
• beta expansion
• weak finiteness

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.

• 出版日期2004-7
• 单位武汉大学