Tail-invariant measures for some suspension semiflows

Jon Aaronson; Omri Sarig; Rita Solomyak

doi:10.3934/dcds.2002.8.725

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2002, Volume 8, Issue 3: 725-735. Doi: 10.3934/dcds.2002.8.725

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Tail-invariant measures for some suspension semiflows

1.
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv
2.
Mathematics Institute, University of Warwick, Coventry, CV4 7AL
3.
Department of Mathematics, University of Washington, Box 35435, Seattle, Washington 98195-4350

Received: May 31, 2001

Revised: September 30, 2001

Published: June 2002

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Abstract

We consider suspension semiflows over abelian extensions of one-sided mixing subshifts of finite type. Although these are not uniquely ergodic, we identify (in the "ergodic" case) all tail-invariant, locally finite measures which are quasiinvariant for the semiflow.

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Mathematics Subject Classification: 28D05, 37A20, 37A40.

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