The Fried average entropy and slow entropy for actions of higher rank abelian groups

DOI10.1007/s00039-014-0284-5zbMath1308.37005arXiv1311.0927OpenAlexW2045287529MaRDI QIDQ484091

Federico Rodriguez Hertz, Svetlana Katok, Anatole Katok

Publication date: 18 December 2014

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0927

zbMATH Keywords

number fieldsregulatoraverage entropyslow entropysmooth actions

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Orbit growth in dynamical systems (37C35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (10)

Sharp lower bounds for regulators of small-degree number fields ⋮ Arithmeticity and topology of smooth actions of higher rank abelian groups ⋮ Slow entropy for some Anosov-Katok diffeomorphisms ⋮ A note on two types of Lyapunov exponents and entropies for \(\mathbb{Z}^k\)-actions ⋮ Slow entropy of higher rank abelian unipotent actions ⋮ Anatole Katok ⋮ Automorphisms of compact Kähler manifolds with slow dynamics ⋮ The minimal Fried average entropy for higher-rank Cartan actions ⋮ Slow entropy of some parabolic flows ⋮ Directional uniformities, periodic points, and entropy

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