An integral formula for topological entropy of $C^{\infty}$ maps

DOI10.1017/S0143385798100391zbMath0915.58058OpenAlexW1988336971MaRDI QIDQ4236244

O. S. Kozlovski

Publication date: 5 July 1999

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

Full work available at URL: https://doi.org/10.1017/s0143385798100391

zbMATH Keywords

differential formstopological entropytopological pressureLjapunov exponentssmooth dynamical systemgrowth rate of vector fields

Mathematics Subject Classification ID

Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (17)

Equilibrium states for the geodesic flow ⋮ On the hybrid control of metric entropy for dominated splittings ⋮ The entropy of 𝐶¹-diffeomorphisms without a dominated splitting ⋮ Entropy of physical measures for \(C^\infty\) dynamical systems ⋮ Formulae of volume growth for random Anosov diffeomorphisms ⋮ Defining chaos ⋮ Volume growth and topological entropy of partially hyperbolic systems ⋮ Construction of measures with expansion ⋮ Volume growth and entropy for \(C^1\) partially hyperbolic diffeomorphisms ⋮ Estimation of topological entropy in random dynamical systems ⋮ On saddle measures ⋮ Topological pressure for geodesic flows ⋮ Invariance entropy of hyperbolic control sets ⋮ Hyberbolic saddle measures and laminarity for holomorphic endomorphisms of P^2C ⋮ Existence of periodic orbits and horseshoes for semiflows on a separable Banach space ⋮ Unstable entropy in smooth ergodic theory ^* ⋮ Entropies and volume growth of unstable manifolds

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