Ergodic properties of transformations of an interval

DOI10.1007/BF01078573zbMath0704.58015OpenAlexW1969444159MaRDI QIDQ917103

Mikhail Lyubich, Alexander M. Blokh

Publication date: 1989

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01078573

zbMATH Keywords

attractorergodic componentconservative mapwandering setmeasurable one- dimensional dynamics

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)

Related Items

Measurable dynamics of $S$-unimodal maps of the interval, Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps

Cites Work

• Limit sets of S-unimodal maps with zero entropy
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• On the concept of attractor
• Existence of a leading eigenvalue for a linearized problem in reactor dynamics
• Sensitive dependence to initial conditions for one dimensional maps