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A CERTAIN FINITENESS PROPERTY OF PISOT NUMBER SYSTEMS
 

Summary: 



A CERTAIN FINITENESS PROPERTY OF PISOT

NUMBER SYSTEMS



SHIGEKI AKIYAMA, HUI RAO AND WOLFGANG STEINER



Abstract. 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

  

Source: Akiyama, Shigeki - Department of Mathematics, Niigata University

 

Collections: Mathematics