Multifractal analysis of time averages for continuous vector functions on configuration space

B. M. Gurevich, Arkady Tempelman

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We consider a natural action τ of the group Zd on the space X consisting of the functions x: Zd → S (S-valued configurations on Zd), where S is a finite set. For an arbitrary continuous function f: X → Rm, we study the multifractal spectrum of its time means corresponding to the dynamical system τ and a proper "averaging" sequence of finite subsets of the lattice Zd, The main tool of the research is thermodynamic formalism.

Original languageEnglish (US)
Pages (from-to)78-91
Number of pages14
JournalTheory of Probability and its Applications
Volume51
Issue number1
DOIs
StatePublished - May 1 2007

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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