Exact renormalization-group approach to the generating function of the Vicsek fractal

J. Q. You; Chi Hang Lam; Franco Nori; Leonard M. Sander

doi:10.1103/PhysRevE.48.R4183

Exact renormalization-group approach to the generating function of the Vicsek fractal

J. Q. You, Chi Hang Lam, Franco Nori, Leonard M. Sander

Research output: Journal article publication › Journal article › Academic research › peer-review

7 Citations (Scopus)

Abstract

We present an exact real-space renormalization-group approach to study the electronic and vibrational properties of the Vicsek fractal. This approach is developed in the framework of the recursive evaluation of the generating function, which efficiently gives the average density of states (ADOS). The ADOS spectrum consists of hierarchies of isolated peaks following elegant recursive structural rules.

Original language	English
Journal	Physical Review E
Volume	48
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.48.R4183
Publication status	Published - 1 Jan 1993
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Physics and Astronomy(all)

More information

10.1103/PhysRevE.48.R4183

Cite this

@article{69962a28266647ce80b5a1405d24d2a5,

title = "Exact renormalization-group approach to the generating function of the Vicsek fractal",

abstract = "We present an exact real-space renormalization-group approach to study the electronic and vibrational properties of the Vicsek fractal. This approach is developed in the framework of the recursive evaluation of the generating function, which efficiently gives the average density of states (ADOS). The ADOS spectrum consists of hierarchies of isolated peaks following elegant recursive structural rules.",

author = "You, {J. Q.} and Lam, {Chi Hang} and Franco Nori and Sander, {Leonard M.}",

year = "1993",

month = jan,

day = "1",

doi = "10.1103/PhysRevE.48.R4183",

language = "English",

volume = "48",

journal = "Physical review. E",

issn = "2470-0045",

publisher = "American Physical Society",

number = "6",

}

TY - JOUR

T1 - Exact renormalization-group approach to the generating function of the Vicsek fractal

AU - You, J. Q.

AU - Lam, Chi Hang

AU - Nori, Franco

AU - Sander, Leonard M.

PY - 1993/1/1

Y1 - 1993/1/1

N2 - We present an exact real-space renormalization-group approach to study the electronic and vibrational properties of the Vicsek fractal. This approach is developed in the framework of the recursive evaluation of the generating function, which efficiently gives the average density of states (ADOS). The ADOS spectrum consists of hierarchies of isolated peaks following elegant recursive structural rules.

AB - We present an exact real-space renormalization-group approach to study the electronic and vibrational properties of the Vicsek fractal. This approach is developed in the framework of the recursive evaluation of the generating function, which efficiently gives the average density of states (ADOS). The ADOS spectrum consists of hierarchies of isolated peaks following elegant recursive structural rules.

UR - http://www.scopus.com/inward/record.url?scp=0011350361&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.48.R4183

DO - 10.1103/PhysRevE.48.R4183

M3 - Journal article

SN - 2470-0045

VL - 48

JO - Physical review. E

JF - Physical review. E

IS - 6

ER -

Exact renormalization-group approach to the generating function of the Vicsek fractal

Abstract

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this