Dimension estimates for invariant measures of contracting-on-average iterated function systems

2006/06/17 by Michał Rams, Rams, Michał · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math/0606420

Abstract

We estimate from above and below the dimension of invariant measure for contracting-on-average iterated function systems in \R^d.

Cited by

• Fractal Structure and Generalization Properties of Stochastic Optimization Algorithms

Related

• Dimension bounds for invariant measures of bi-Lipschitz iterated function systems
• Dimension of invariant measures for affine iterated function systems
• Dimension of invariant measures for affine iterated function systems
• On the dimension of self-similar measures with complicated overlaps
• On the fine structure of stationary measures in systems which contract-on-average