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

Tail-invariant measures for some suspension semiflows

Jon Aaronson 1, , Omri Sarig 2, and  Rita Solomyak 3,

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.
Keywords: skew-products, unique ergodicity, horocycle flow., non-arithmeticity, tail-invariance, Equivalence relations, semi-flows, infinite measures, aperiodicity.
Mathematics Subject Classification: 28D05, 37A20, 37A4.
Citation: Jon Aaronson, Omri Sarig, Rita Solomyak. Tail-invariant measures for some suspension semiflows. Discrete and Continuous Dynamical Systems, 2002, 8 (3) : 725-735. doi: 10.3934/dcds.2002.8.725
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