The limit-periodic finite-difference operator on l2(ℤ) associated with iterations of quadratic polynomials

M. Sodin; P. Yuditski

doi:10.1007/BF01026000

The limit-periodic finite-difference operator on l²(ℤ) associated with iterations of quadratic polynomials

M. Sodin^*, P. Yuditski

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The limit-periodic discrete operator of the Schrödinger type on the axis ℤ associated with iterations of quadratic polynomials is investigated. It is proved that this operator has a singularly continuous simple spectrum. Connections with the Sinai-Bowen-Ruelle measure and the conformai map onto a special comblike domain are established.

Original language	English
Pages (from-to)	863-873
Number of pages	11
Journal	Journal of Statistical Physics
Volume	60
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01026000
State	Published - 1990
Externally published	Yes

Keywords

Jacobi matrices
Limit periodicity
Sinai-Bowen-Ruelle measure
comblike domains
conformai map
escape rate
iterations of polynomials

Access to Document

10.1007/BF01026000

Cite this

@article{6af754c83fd649d0bd8f9baf40310d2b,

title = "The limit-periodic finite-difference operator on l2(ℤ) associated with iterations of quadratic polynomials",

abstract = "The limit-periodic discrete operator of the Schr{\"o}dinger type on the axis ℤ associated with iterations of quadratic polynomials is investigated. It is proved that this operator has a singularly continuous simple spectrum. Connections with the Sinai-Bowen-Ruelle measure and the conformai map onto a special comblike domain are established.",

keywords = "Jacobi matrices, Limit periodicity, Sinai-Bowen-Ruelle measure, comblike domains, conformai map, escape rate, iterations of polynomials",

author = "M. Sodin and P. Yuditski",

year = "1990",

doi = "10.1007/BF01026000",

language = "אנגלית",

volume = "60",

pages = "863--873",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

publisher = "Springer",

number = "5-6",

}

TY - JOUR

T1 - The limit-periodic finite-difference operator on l2(ℤ) associated with iterations of quadratic polynomials

AU - Sodin, M.

AU - Yuditski, P.

PY - 1990

Y1 - 1990

N2 - The limit-periodic discrete operator of the Schrödinger type on the axis ℤ associated with iterations of quadratic polynomials is investigated. It is proved that this operator has a singularly continuous simple spectrum. Connections with the Sinai-Bowen-Ruelle measure and the conformai map onto a special comblike domain are established.

AB - The limit-periodic discrete operator of the Schrödinger type on the axis ℤ associated with iterations of quadratic polynomials is investigated. It is proved that this operator has a singularly continuous simple spectrum. Connections with the Sinai-Bowen-Ruelle measure and the conformai map onto a special comblike domain are established.

KW - Jacobi matrices

KW - Limit periodicity

KW - Sinai-Bowen-Ruelle measure

KW - comblike domains

KW - conformai map

KW - escape rate

KW - iterations of polynomials

UR - http://www.scopus.com/inward/record.url?scp=33746139305&partnerID=8YFLogxK

U2 - 10.1007/BF01026000

DO - 10.1007/BF01026000

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:33746139305

SN - 0022-4715

VL - 60

SP - 863

EP - 873

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

The limit-periodic finite-difference operator on l²(ℤ) associated with iterations of quadratic polynomials

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this