If they are limit periodic?
Spectral Theory
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@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}
}
Comments
misprints corrected, acknowledgment added