On the leading term and the degree of the polynomial trace mapping associated with a substitution |
| |
Authors: | Wen Zhi-Xiong Wen Zhi-Ying |
| |
Institution: | (1) Department of Mathematics, Wuhan University, 430072 Wuhan, Hubei, China;(2) Mathématiques, Université de Paris-Sud, 91405 Orsay Cedex, France |
| |
Abstract: | Using the trace mapping and the reduced trace mapping associated with a substitution, one obtaines the spectral properties of one-dimensional Schrödinger operators of the formH=– +V onl
2 , where is the discrete Laplacian andV is a diagonal operator with elements derived from a substitution rule. In particular, the reduced trace mapping is closely related to the leading term of the original trace mapping. In this paper, the explicit expression of the leading term is given and its properties are discussed. |
| |
Keywords: | Trace maping substitution leading term |
本文献已被 SpringerLink 等数据库收录! |
|