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 publicationJournal articleAcademic researchpeer-review

11 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 languageEnglish
JournalPhysical Review E
Volume48
Issue number6
DOIs
Publication statusPublished - 1 Jan 1993
Externally publishedYes

ASJC Scopus subject areas

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

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