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Article Dans Une Revue Transactions of the American Mathematical Society Année : 2017

Almost sure invariance principle for sequential and non-stationary dynamical systems

Résumé

We establish almost sure invariance principles, a strong form of approximation by Brownian motion, for non-stationary time-series arising as observations on dynamical systems. Our examples include observations on sequential expanding maps, perturbed dynamical systems, non-stationary sequences of functions on hyperbolic systems as well as applications to the shrinking target problem in expanding systems.
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Dates et versions

hal-01127754 , version 1 (08-03-2015)

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Nicolai Haydn, Matthew Nicol, Andrew Török, Sandro Vaienti. Almost sure invariance principle for sequential and non-stationary dynamical systems. Transactions of the American Mathematical Society, 2017, 369 (8), pp. 5293-5316 ⟨10.1090/tran/6812⟩. ⟨hal-01127754⟩
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