Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 265, Pages 159–164 (Mi tm831)  
Hausdorff Dimension and Hierarchical System Dynamics

K. Lukierska-Walaseka, K. Topolskib

a Institute of Physics, University of Zielona Góra, Zielona Góra, Poland
b Institute of Mathematics, Wrocław University, Wrocław, Poland
Full-text PDF (161 kB)
References:
PDF
HTML
Abstract: We show that the Hausdorff dimension may be used to distinguish different relaxation dynamics in hierarchical systems. We examine the hierarchical systems following the temperature-dependent power-law decay and the Kohlrausch law. For our purposes, we consider random walks on $p$-adic integer numbers.
Received in April 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 148–153
DOI: https://doi.org/10.1134/S008154380902014X
Bibliographic databases:
UDC: 519.21
Language: English
Citation: K. Lukierska-Walasek, K. Topolski, “Hausdorff Dimension and Hierarchical System Dynamics”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 159–164; Proc. Steklov Inst. Math., 265 (2009), 148–153
Citation in format AMSBIB
\Bibitem{LukTop09}
\by K.~Lukierska-Walasek, K.~Topolski
\paper Hausdorff Dimension and Hierarchical System Dynamics
\inbook Selected topics of mathematical physics and $p$-adic analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 265
\pages 159--164
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm831}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2599551}
\zmath{https://zbmath.org/?q=an:1181.37005}
\elib{https://elibrary.ru/item.asp?id=12601458}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2009
\vol 265
\pages 148--153
\crossref{https://doi.org/10.1134/S008154380902014X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000268514300014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350067631}
Linking options:
  • https://www.mathnet.ru/eng/tm831
  • https://www.mathnet.ru/eng/tm/v265/p159
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:161
    Full-text PDF :32
    References:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024