Weak* and entropy approximation of nonhyperbolic measures: a geometrical approach

DOI10.1017/S0305004119000276zbMath1483.37040arXiv1804.05913OpenAlexW2962852024MaRDI QIDQ4958670

Katrin Gelfert, Bruno Santiago, Lorenzo J. Dıaz

Publication date: 14 September 2021

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05913

zbMATH Keywords

entropyLyapunov exponentstransitivityergodic measurespartial hyperbolicityminimal foliationsblender-horseshoeweak\(\ast\) topology

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (5)

Variational principle for nonhyperbolic ergodic measures: skew products and elliptic cocycles ⋮ Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity) ⋮ Nonhyperbolic dynamics by mingling, blending, and flip-flopping ⋮ Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems ⋮ Nontransverse heterodimensional cycles: Stabilisation and robust tangencies

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