# American Institute of Mathematical Sciences

July  2002, 8(3): 725-735. doi: 10.3934/dcds.2002.8.725

## Tail-invariant measures for some suspension semiflows

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

Received  June 2001 Revised  October 2001 Published  April 2002

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.
Citation: Jon Aaronson, Omri Sarig, Rita Solomyak. Tail-invariant measures for some suspension semiflows. Discrete & Continuous Dynamical Systems, 2002, 8 (3) : 725-735. doi: 10.3934/dcds.2002.8.725
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