تقرير
Gibbs Measures on Multidimensional Spaces. Equivalences and a Groupoid Approach
| العنوان: | Gibbs Measures on Multidimensional Spaces. Equivalences and a Groupoid Approach |
|---|---|
| المؤلفون: | Bissacot, Rodrigo, Fukushima-Kimura, Bruno Hideki, Lima, Rafael Pereira, Raszeja, Thiago |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Dynamical Systems, Mathematics - Operator Algebras, Mathematics - Probability, 37A55, 37A60, 37B10, 37D35, 82B05, 82B10, 82B20, 46LXX, 46L55, 46L05, 46L40, 60BXX |
| الوصف: | We consider some of the main notions of Gibbs measures on subshifts introduced by different communities, such as dynamical systems, probability, operator algebras, and mathematical physics. For potentials with $d$-summable variation, we prove that several of the definitions considered by these communities are equivalent. In particular, when the subshift is of finite type (SFT), we show that all definitions coincide. In addition, we introduced a groupoid approach to describe some Gibbs measures, allowing us to show the equivalence between Gibbs measures and KMS states (the quantum analogous to the Gibbs measures). Comment: arXiv admin note: text overlap with arXiv:2008.13727 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.16641 |
| رقم الأكسشن: | edsarx.2308.16641 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |