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• W1595840757 abstract "In this paper, we give rates of convergence in the strong invariance principle for non-adapted sequences satisfying projective criteria. The results apply to the iterates of ergodic automorphisms T of the d-dimensional torus (mathbb{T}^d), even in the non hyperbolic case. In this context, we give a large class of unbounded function f from (mathbb{T}^d) to (mathbb{R}), for which the partial sum (f;circ;T;+;f;circ;T^{2};+;.;.;.;+;f;circ;T^{n}) satisfies a strong invariance principle with an explicit rate of convergence." @default.
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• W1595840757 date "2013-01-01" @default.
• W1595840757 modified "2023-09-30" @default.
• W1595840757 title "Rates of Convergence in the Strong Invariance Principle for Non-adapted Sequences Application to Ergodic Automorphisms of the Torus" @default.
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• W1595840757 doi "https://doi.org/10.1007/978-3-0348-0490-5_9" @default.
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