If they are limit periodic?
谱理论
2007-05-23 v2 数学物理
math.MP
摘要
We prove a partial result concerning the long-standing problem on limit periodicity of the Jacobi matrix associated with the balanced measure on the Julia set of an expending polynomial. Besides this, connections of the problem with the Faybusovich--Gekhtman flow and many other objects (the Hilbert transform, the Schwarz derivative, the Ruelle and Laplace operators) that, we sure, are of an independent interest, are discussed.
引用
@article{arxiv.math/0401391,
title = {If they are limit periodic?},
author = {J. Bellissard and J. Geronimo and A. Volberg and P. Yuditskii},
journal= {arXiv preprint arXiv:math/0401391},
year = {2007}
}
备注
misprints corrected, acknowledgment added