Singular stationary measures are not always fractal
From MaRDI portal
Publication:1314316
DOI10.1007/BF02213368zbMath0791.28007MaRDI QIDQ1314316
Publication date: 5 July 1994
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
singularstationary measurenon-atomicsemigroup of transformationsLipschitz transformationsinterval support
Measure-preserving transformations (28D05) Fractals (28A80) Abstract differentiation theory, differentiation of set functions (28A15)
Related Items
Singularity results for functional equations driven by linear fractional transformations ⋮ Invariant measures for parabolic IFS with overlaps and random continued fractions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some inequalities relating to the partial sum of binomial probabilities
- A class of Bernoulli random matrices with continuous singular stationary measures
- Lower bounds for the maximal Lyapunov exponent
- Limit behavior of the convolution iterates of a probability measure on a semigroup of matrices
- Domains of analytic continuation for the top Lyapunov exponent
- Measures on topological semigroups: Convolution products and random walks
- On the limit of the convolution iterates of a probability measure on \(n\times n\) stochastic matrices
- Strong Laws of Large Numbers for Products of Random Matrices
- Products of Random Matrices
- Noncommuting Random Products
- A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations