Ulam projections approximate equivariant families and linear responses for nonautonomous systems with memory loss and regularizing transfer operators.
Almost sure invariance principle for sequential and non-stationary dynamical systems
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abstract
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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math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Ulam Approximation for Nonautonomous Systems: Equivariant Measures and Linear Response
Ulam projections approximate equivariant families and linear responses for nonautonomous systems with memory loss and regularizing transfer operators.