On the notion of the dimension with respect to a dynamical system

DOI10.1017/S0143385700002546zbMath0616.58038OpenAlexW2137358764MaRDI QIDQ4725390

Ya. B. Pesin

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1017/s0143385700002546

zbMATH Keywords

dynamical systemsergodic probability measurehyperbolic setunstable manifolds

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Dynamical systems with hyperbolic behavior (37D99)

Related Items (3)

Bounded orbits of Anosov flows ⋮ Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets. ⋮ On possible inaccuracy in quantification of chaotic motion

Cites Work

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• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Some relations between dimension and Lyapunov exponents
• The ergodic theory of axiom A flows
• On the nature of turbulence
• Capacity of attractors
• Topological Entropy for Noncompact Sets
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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