Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2001, Volume 283, Pages 178–192 (Mi znsl1529)  
Quasicrystallic tilings and projection method

A. A. Lodkin

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (273 kB)
Abstract: Basic notions related to quasiperiodic tilings and Delone sets in Eucledean space are discussed. It is shown how the cut and project method of constructing them is used to calculate their spectra. Special attention is paid to self-similar tilings and the way one can obtain one-dimensional substitutional tilings by the projection scheme.
Received: 28.11.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 3, Pages 2393–2400
DOI: https://doi.org/10.1023/B:JOTH.0000024620.87599.fa
Bibliographic databases:
UDC: 514.87+517.443+517.982.43+517.987.5
Language: Russian
Citation: A. A. Lodkin, “Quasicrystallic tilings and projection method”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Zap. Nauchn. Sem. POMI, 283, POMI, St. Petersburg, 2001, 178–192; J. Math. Sci. (N. Y.), 121:3 (2004), 2393–2400
Citation in format AMSBIB
\Bibitem{Lod01}
\by A.~A.~Lodkin
\paper Quasicrystallic tilings and projection method
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~VI
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 283
\pages 178--192
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1529}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879069}
\zmath{https://zbmath.org/?q=an:1069.37012}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 3
\pages 2393--2400
\crossref{https://doi.org/10.1023/B:JOTH.0000024620.87599.fa}
Linking options:
  • https://www.mathnet.ru/eng/znsl1529
  • https://www.mathnet.ru/eng/znsl/v283/p178
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:238
    Full-text PDF :107
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024