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- W2963534429 abstract "We introduce a distance in the space of fully-supported probability measures onone-dimensional symbolic spaces.We compare this distance to the $bar{d}$-distance and we prove thatin general they are not comparable. Our projective distance is inspired on Hilbert'sprojective metric, and in the framework of $g$-measures, it allows to assess the continuityof the entropy at $g$-measures satisfying uniqueness. It also allows to relate the speedof convergence and the regularity of sequences of locally finite $g$-functions, to thepreservation at the limit, of certain ergodic properties for the associate $g$-measures." @default.
- W2963534429 created "2019-07-30" @default.
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- W2963534429 date "2015-01-01" @default.
- W2963534429 modified "2023-10-04" @default.
- W2963534429 title "Projective distance and $g$-measures" @default.
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- W2963534429 doi "https://doi.org/10.3934/dcdsb.2015.20.3565" @default.
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