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

B. M. Gurevich, Arkady Tempelman

Research output: Contribution to journalArticle

1 Citation (Scopus)

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

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Thermodynamic Formalism
Multifractal Spectrum
Multifractal Analysis
Time-average
Configuration Space
Averaging
Finite Set
Continuous Function
Dynamical system
Configuration
Subset
Arbitrary
Dynamical systems
Thermodynamics
Formalism

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

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Multifractal analysis of time averages for continuous vector functions on configuration space. / Gurevich, B. M.; Tempelman, Arkady.

In: Theory of Probability and its Applications, Vol. 51, No. 1, 01.05.2007, p. 78-91.

Research output: Contribution to journalArticle

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