Almost sure invariance principle for random piecewise expanding maps

D Dragičević (1) , G Froyland (1) , Cecilia González-Tokman (2) , Sandro Vaienti (3, 4)

1 School of Mathematics and statistics [Sydney]
2 UQ [All campuses : Brisbane, Dutton Park Gatton, Herston, St Lucia and other locations] - The University of Queensland
3 CPT - Centre de Physique Théorique - UMR 7332
4 CPT - E7 Systèmes dynamiques : théories et applications

We prove a fiberwise almost sure invariance principle for random piecewise expanding transformations in one and higher dimensions using recent developments on martingale techniques.

Domaines: Systèmes dynamiques [math.DS]

D Dragičević, G Froyland, Cecilia González-Tokman, Sandro Vaienti. Almost sure invariance principle for random piecewise expanding maps. Nonlinearity, 2018, 31 (5), pp.2252. ⟨10.1088/1361-6544/aaaf4b⟩. ⟨hal-01395709⟩