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Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents
Multifractal analysis of some multiple ergodic averages non-constant Lyapunov exponents Dynamical Systems
2012/6/27
We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding ${0,1}^{\mathbb{N}}$ of the attractor, we c...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Multifractal analysis linearization effect compound Poisson motion
2011/3/3
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Linearization effect multifractal analysis Random Energy Model analysis
2011/1/4
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...