Measure of minimal sets of polymodal maps

DOI10.1017/S0143385700008750zbMath0851.58015OpenAlexW2129453225MaRDI QIDQ4879281

Edson Vargas

Publication date: 24 November 1996

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700008750

zbMATH Keywords

minimal setzero Lebesgue measurepolymodal interval map

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Entropy in general topology (54C70) Low-dimensional dynamical systems (37E99)

Related Items

The order structure of forts iterated by quadratic polynomials, Real bounds, ergodicity and negative Schwarzian for multimodal maps, Decay of geometry for unimodal maps: the \(C^{2}\) case, Complexity in iteration of polynomials, Decay of correlations in one-dimensional dynamics

Cites Work

• Limit sets of S-unimodal maps with zero entropy
• Hyperbolicity and invariant measures for general \(C^ 2\) interval maps satisfying the Misiurewicz condition
• Hyperbolicity, sinks and measure in one dimensional dynamics
• On the concept of attractor
• Bifurcation frequency for unimodal maps
• A structure theorem in one dimensional dynamics
• Markov partition in non-hyperbolic interval dynamics
• Measure of solenoidal attractors of unimodal maps of the segment
• Combinatorics, geometry and attractors of quasi-quadratic maps
• Measure and dimension of solenoidal attractors of one-dimensional dynamical systems