Some Basic Properties Of Self-admissible Words And The Distribution Of Cylinders In The Parameter Space Of Beta Expansions

Previous studies are fixed , research related properties in the same power system, due to ? [0,1] of -expansion strongly dependent on , so that when changes, expansion formula will accordingly changes. This then leads to a consideration of the nature at the same point in a different -expansion at the same time, due to the development of Formula. 1 has an important role in the -expansion research, which facilitated the consideration of different of 1 expansion type, specific research set the following properties:{ > 1: exhibition of Formula 1 satisfies certain properties}Schmeling's work, a fundamental question is simple characterization column set, when Schmeling colunmn set length, is portrayed column length set for the special circumstances of his study of the problem. We think it has some limitations. Now we conduct it general characterization, explore a collection of non-empty, what nature? Its length is how much? This article is a simple answer to these questions.This paper mainly studies some basic properties in beta dynamic systems0,1,, aiming at providing some further research. Firstly we introduce the expansions of the two special numbers 1 and ; Secondly the concept of the admissible sequence is introduced, together with some related conclusions. Finally by using some conclusions on the admissible sequence, we explore the relevant conclusions on the length of basic cylinders and their distributions of the cylinder.