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

B. M. Gurevich; A. A. Tempelman

doi:10.1137/S0040585X97982207

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

B. M. Gurevich, A. A. Tempelman

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Abstract

We consider a natural action τ of the group Z^d on the space X consisting of the functions x: Z^d → S (S-valued configurations on Z^d), where S is a finite set. For an arbitrary continuous function f: X → R^m, 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 Z^d, The main tool of the research is thermodynamic formalism.

Original language	English (US)
Pages (from-to)	78-91
Number of pages	14
Journal	Theory of Probability and its Applications
Volume	51
Issue number	1
DOIs	https://doi.org/10.1137/S0040585X97982207
State	Published - 2007

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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

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All Science Journal Classification (ASJC) codes

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