Ulam projections approximate equivariant families and linear responses for nonautonomous systems with memory loss and regularizing transfer operators.
Concentration inequalities for sequential dynamical systems of the unit interval
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abstract
We prove a concentration inequality for sequential dynamical systems of the unit interval enjoying an exponential loss of memory in the BV norm, and we investigate several of its consequences. In particular, this covers compositions of $\beta$-transformations, with all $\beta$ lying in a neighborhood of a fixed $\beta_{\star} > 1$ and systems satisfying a covering type assumption.
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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.