Document Zbl 0689.58025

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Minimal measures. (English) Zbl 0689.58025

Comment. Math. Helv. 64, No. 3, 375-394 (1989).

Author’s abstract: For a finite composition of exact, area preserving, positive twist diffeomorphisms of the infinite cylinder it is shown that an invariant measure whose support consists of minimal orbits strictly minimizes the average action.

Reviewer: R.Cowen

Cited in 1 Review

Cited in 26 Documents

MSC:

37A99

Ergodic theory

Keywords:

area preserving diffeomorphisms; minimal orbits

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Full Text: DOI EuDML