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- W2885702957 abstract "We study skew product lifts and overlap numbers for equilibrium measures mu_psi of Holder continuous potentials psi on such lifts. We find computable formulas and estimates for the overlap numbers in several concrete significant cases of systems with overlaps. In particular we obtain iterated systems which are asymptotically irrational-to-1 and absolutely continuous on their limit sets. Then we look into the general structure of the Rokhlin conditional measures of mu_psi with respect to different fiber partitions associated to the lift Phi, and find relations between them. Moreover we prove an estimate on the box dimension of a certain associated invariant measure nu_psi on the limit set Lambda by using the overlap number of mu_psi." @default.
- W2885702957 created "2018-08-22" @default.
- W2885702957 creator A5023998322 @default.
- W2885702957 date "2018-08-05" @default.
- W2885702957 modified "2023-10-18" @default.
- W2885702957 title "Ergodic lifts and overlap numbers" @default.
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