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Название: Dimensions and Waiting Times for Gibbs Measures
Автор: Chazottes J.-R.
For shifts of finite type, we relate the waiting time between two different orbits, one chosen according to an ergodic measure, the other according to a Gibbs measure, to Billingsley dimensions of generic sets. This is achieved by computing Billingsley dimensions of saturated sets in terms of a relative entropy which satisfies a pointwise ergodic result. As a by-product, a similar result is obtained for match lengths that are dual quantities of waiting times.