On Iterated Function Systems with place-dependent probabilities
From MaRDI portal
Publication:5496265
DOI10.1090/S0002-9939-2014-12193-9zbMath1308.60044OpenAlexW2060222662MaRDI QIDQ5496265
Publication date: 30 January 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12193-9
transversalityHausdorff dimensionhyperbolicityabsolute continuityiterated function systemsplace-dependent probabilitiesplace-dependent Bernoulli convolutions
Fractals (28A80) Continuity and singularity of induced measures (60G30) Hausdorff and packing measures (28A78)
Related Items
Corrigendum to “On iterated function systems with place-dependent probabilities” ⋮ Hausdorff dimensions for graph-directed measures driven by infinite rooted trees ⋮ On the ergodic control of ensembles ⋮ Typical absolute continuity for classes of dynamically defined measures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hausdorff dimension of limit sets for parabolic IFS with overlaps.
- On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS
- Separation conditions for conformal iterated function systems
- Iterated function system and Ruelle operator
- Random dynamical systems arising from iterated function systems with place-dependent probabilities
- Absolute continuity of Bernoulli convolutions, a simple proof
- Invariant measures for parabolic IFS with overlaps and random continued fractions
- On the absolute continuity of a class of invariant measures
- Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties
- Self-similar measures and intersections of Cantor sets
- CONTRACTIVE MARKOV SYSTEMS
- The Hausdorff Dimension of λ-Expansions with Deleted Digits
- Zeros of {-1, 0, 1} Power Series and Connectedness Loci for Self-Affine Sets
- Absolutely continuous invariant measures for some piecewise hyperbolic affine maps
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms