Disintegrations of non‐hyperbolic ergodic measures along the center foliation of DA maps

DOI10.1112/blms.12800arXiv2206.08534OpenAlexW4317212659MaRDI QIDQ6096794

Jinhua Zhang, Ali Tahzibi

Publication date: 15 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.08534

zbMATH Keywords

partially hyperbolic diffeomorphismnon-hyperbolic ergodic measure

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30)

Cites Work

• Unnamed Item
• Unnamed Item
• Minimal yet measurable foliations
• Partial hyperbolicity and foliations in \(\mathbb{T}^3\)
• Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows
• Partial hyperbolicity and ergodicity in dimension three
• Persistence of nonhyperbolic measures for \(C^{1}\)-diffeomorphisms
• Extremal Lyapunov exponents: an invariance principle and applications
• Partially hyperbolic diffeomorphisms of 3-manifolds with abelian fundamental groups
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Invariants for smooth conjugacy of hyperbolic dynamical systems. II
• Contributions to the stability conjecture
• A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
• Unstable entropies and variational principle for partially hyperbolic diffeomorphisms
• On the Bernoulli property for certain partially hyperbolic diffeomorphisms
• Invariant sets and measures of nonexpansive group automorphisms
• Pathological foliations and removable zero exponents
• Entropy along expanding foliations
• Rigidity of center Lyapunov exponents and \(su\)-integrability
• Center Lyapunov exponents in partially hyperbolic dynamics
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
• Non-absolutely continuous foliations
• Nonremovable zero Lyapunov exponent
• Robust criterion for the existence of nonhyperbolic ergodic measures
• Center foliation: absolute continuity, disintegration and rigidity
• Intrinsic ergodicity of partially hyperbolic diffeomorphisms with a hyperbolic linear part
• Vanishing transverse entropy in smooth ergodic theory
• Central Lyapunov exponent of partially hyperbolic diffeomorphisms of 𝕋³
• A proof of the estimation from below in Pesin's entropy formula
• Removing zero Lyapunov exponents
• Measure-theoretical properties of center foliations
• Leaf conjugacies on the torus
• Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves
• On the existence of non-hyperbolic ergodic measures as the limit of periodic measures
• Noncommuting Random Products
• Accessibility of derived-from-Anosov systems
• Absolutely singular dynamical foliations

This page was built for publication: Disintegrations of non‐hyperbolic ergodic measures along the center foliation of DA maps