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• W3129578636 abstract "We consider cocycles obtained by composing sequences of transfer operators with positive weights, associated with uniformly expanding maps (possibly having countably many branches) and depending upon parameters. Assuming $$C^k$$ regularity with respect to coordinates and parameters, we show that when the sequence is picked within a certain uniform family the top characteristic exponent and generator of top Oseledets space of the cocycle are $$C^{k-1}$$ in parameters. As applications, we obtain a linear response formula for the equivariant measure associated with random products of uniformly expanding maps, and we study the regularity of the Hausdorff dimension of a repeller associated with random compositions of one-dimensional cookie-cutters." @default.
• W3129578636 created "2021-03-01" @default.
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• W3129578636 date "2021-02-16" @default.
• W3129578636 modified "2023-10-17" @default.
• W3129578636 title "Regularity of Characteristic Exponents and Linear Response for Transfer Operator Cocycles" @default.
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• W3129578636 doi "https://doi.org/10.1007/s00220-021-04019-9" @default.
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