Hidden Gibbs measures on shift spaces over countable alphabets

التفاصيل البيبلوغرافية
العنوان: Hidden Gibbs measures on shift spaces over countable alphabets
المؤلفون: Iommi, Godofredo, Lacalle, Camilo, Yayama, Yuki
المصدر: Stoch. Dyn. 20 (2020), no.4, 2050028, 41 pp
سنة النشر: 2018
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Dynamical Systems
الوصف: We study the thermodynamic formalism for particular types of sub-additive sequences on a class of subshifts over countable alphabets. The subshifts we consider include factors of irreducible countable Markov shifts under certain conditions. We show the variational principle for topological pressure. We also study conditions for the existence and uniqueness of invariant ergodic Gibbs measures and the uniqueness of equilibrium states. As an application, we extend the theory of factors of (generalized) Gibbs measures on subshifts on finite alphabets to that on certain subshifts over countable alphabets.
Comment: The title is changed and some revisions have been made
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1809.05005
رقم الانضمام: edsarx.1809.05005
قاعدة البيانات: arXiv