Report
Thermodynamic formalism for random non-uniformly expanding maps
| العنوان: | Thermodynamic formalism for random non-uniformly expanding maps |
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| المؤلفون: | Stadlbauer, Manuel, Suzuki, Shintaro, Varandas, Paulo |
| المصدر: | Commun. Math. Phys. 385, 369-427 (2021) |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems |
| الوصف: | We develop a quenched thermodynamic formalism for a wide class of random maps with non-uniform expansion, where no Markov structure, no uniformly bounded degree or the existence of some expanding dynamics is required. We prove that every measurable and fibered $C^1$-potential at high temperature admits a unique equilibrium state which satisfies a weak Gibbs property, and has exponential decay of correlations. The arguments combine a functional analytic approach for the decay of correlations (using Birkhoff cone methods) and Carath\'eodory-type structures to describe the relative pressure of not necessary compact invariant sets in random dynamical systems. We establish also a variational principle for the relative pressure of random dynamical systems. Comment: 58 pages, revised version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00220-021-04088-w |
| URL الوصول: | http://arxiv.org/abs/2006.03749 |
| رقم الانضمام: | edsarx.2006.03749 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00220-021-04088-w |
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