Iterated function systems and dynamical systems
Copyright policy )Iterated function systems and dynamical systems
We study the relationship between measures invariant for a piecewise expanding transformation τ of a compact metric space endowed with a underlying measure and measures invariant for an iterated function system Tτ, generated by inverse branches of τ. The main result says that the τ-invariant absolutely continuous measure μ is also Tτ invariant if and only if τ is absolutely continuously conjugated with a piecewise linear transformation. Measures of maximal entropy and general equilibrium states are also discussed.
- Concordia University Wisconsin United States
- Concordia University Canada
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, Smooth ergodic theory, invariant measures for smooth dynamical systems
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, Smooth ergodic theory, invariant measures for smooth dynamical systems
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