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math.DS2021★ 6 cited
Quenched linear response for smooth expanding on average cocycles
Davor Dragičević, Paolo Giulietti, Julien Sedro
We establish an abstract quenched linear response result for random dynamical systems, which we then apply to the case of smooth expanding on average cocycles on the unit circle. I…
math.DS2021
A vector-valued almost sure invariance principle for random expanding on average cocycles
Davor Dragičević, Yeor Hafouta, Julien Sedro
We obtain a quenched vector-valued almost sure invariance principle (ASIP) for random expanding on average cocycles. This is achieved by combining the adapted version of Gouëzel's…
math.DS2021★ 1 cited
Quenched limit theorems for expanding on average cocycles
Davor Dragičević, Julien Sedro
We prove quenched versions of a central limit theorem, a large deviations principle as well as a local central limit theorem for expanding on average cocycles. This is achieved by…