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- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Springer
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Mathematics, general
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-010-0001-4
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we investigate some results of ergodic theory with infinite measures for a subshift of finite type. We give an explicit way to construct σ-finite measures which are quasi-invariant by the stable holonomy and equivalent to the conditional measures of some σ-invariant measure. These σ-invariant measures are totally dissipative, σ-finite but satisfy a Birkhoff Ergodic-like Theorem. The constructions are done for the symbolic case, but can be extended for uniformly hyperbolic flows or diffeomorphisms.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Mar 30, 2010