1,165 research outputs found

    Ergodic properties of equilibrium measures for smooth three dimensional flows

    Full text link
    Let {Tt}\{T^t\} be a smooth flow with positive speed and positive topological entropy on a compact smooth three dimensional manifold, and let μ\mu be an ergodic measure of maximal entropy. We show that either {Tt}\{T^t\} is Bernoulli, or {Tt}\{T^t\} is isomorphic to the product of a Bernoulli flow and a rotational flow. Applications are given to Reeb flows.Comment: 32 pages, 1 figure, a section on equilibrium measures for multiples of the geometric potential has been added, to appear in Commentarii Mathematici Helvetic
    • …