Minimum-dimension trace maps for substitution sequences

Yshai Avishai; Daniel Berend; David Glaubman

doi:10.1103/PhysRevLett.72.1842

Minimum-dimension trace maps for substitution sequences

Yshai Avishai, Daniel Berend, David Glaubman

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

19 Scopus citations

Abstract

We construct trace maps for products of 2×2 matrices generated by arbitrary substitution sequences. The dimension of the underlying space of our trace map is the minimal possible, namely 3r-3 for an alphabet of size r2.

Original language	English
Pages (from-to)	1842-1845
Number of pages	4
Journal	Physical Review Letters
Volume	72
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevLett.72.1842
State	Published - 1 Jan 1994

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1103/PhysRevLett.72.1842

Cite this

@article{abd25e21e4df4b8f99b91b956e25eb98,

title = "Minimum-dimension trace maps for substitution sequences",

abstract = "We construct trace maps for products of 2×2 matrices generated by arbitrary substitution sequences. The dimension of the underlying space of our trace map is the minimal possible, namely 3r-3 for an alphabet of size r2.",

author = "Yshai Avishai and Daniel Berend and David Glaubman",

year = "1994",

month = jan,

day = "1",

doi = "10.1103/PhysRevLett.72.1842",

language = "English",

volume = "72",

pages = "1842--1845",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "12",

}

TY - JOUR

T1 - Minimum-dimension trace maps for substitution sequences

AU - Avishai, Yshai

AU - Berend, Daniel

AU - Glaubman, David

PY - 1994/1/1

Y1 - 1994/1/1

N2 - We construct trace maps for products of 2×2 matrices generated by arbitrary substitution sequences. The dimension of the underlying space of our trace map is the minimal possible, namely 3r-3 for an alphabet of size r2.

AB - We construct trace maps for products of 2×2 matrices generated by arbitrary substitution sequences. The dimension of the underlying space of our trace map is the minimal possible, namely 3r-3 for an alphabet of size r2.

UR - http://www.scopus.com/inward/record.url?scp=0001370298&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.72.1842

DO - 10.1103/PhysRevLett.72.1842

M3 - Article

AN - SCOPUS:0001370298

SN - 0031-9007

VL - 72

SP - 1842

EP - 1845

JO - Physical Review Letters

JF - Physical Review Letters

IS - 12

ER -

Minimum-dimension trace maps for substitution sequences

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this