Abstract
The set of ergodic m.p. transformations of the unit interval and the set of ergodic shift-invariant measures on subshifts of finite type are arcwise connected.
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Sigmund, K. On the connectedness of ergodic systems. Manuscripta Math 22, 27–32 (1977). https://doi.org/10.1007/BF01182064
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DOI: https://doi.org/10.1007/BF01182064