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Almost sure invariance principle for random piecewise expanding maps
- Source :
- Nonlinearity, Nonlinearity, IOP Publishing, 2018, 31 (5), pp.2252. ⟨10.1088/1361-6544/aaaf4b⟩, Nonlinearity, 2018, 31 (5), pp.2252. ⟨10.1088/1361-6544/aaaf4b⟩
- Publication Year :
- 2016
-
Abstract
- International audience; We prove a fiberwise almost sure invariance principle for random piecewise expanding transformations in one and higher dimensions using recent developments on martingale techniques.
- Subjects :
- Pure mathematics
Invariance principle
Applied Mathematics
010102 general mathematics
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
General Physics and Astronomy
Statistical and Nonlinear Physics
Dynamical Systems (math.DS)
01 natural sciences
010104 statistics & probability
almost sure invariance principle, random dynamical systems
Mathematics::Probability
Piecewise
FOS: Mathematics
0101 mathematics
Mathematics - Dynamical Systems
Martingale (probability theory)
Mathematical Physics
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 09517715 and 13616544
- Database :
- OpenAIRE
- Journal :
- Nonlinearity, Nonlinearity, IOP Publishing, 2018, 31 (5), pp.2252. ⟨10.1088/1361-6544/aaaf4b⟩, Nonlinearity, 2018, 31 (5), pp.2252. ⟨10.1088/1361-6544/aaaf4b⟩
- Accession number :
- edsair.doi.dedup.....959c72515e831e9e562752dd288dfe09
- Full Text :
- https://doi.org/10.1088/1361-6544/aaaf4b⟩