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.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty