Quenched linear response for smooth expanding on average cocycles (CROSBI ID 315616)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Dragičević, Davor ; Giulietti, Paolo ; Sedro, Julien
engleski
Quenched linear response for smooth expanding on average cocycles
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. In sharp contrast to the existing results in the literature, we deal with the class of random dynamics that does not necessarily exhibit uniform decay of correlations. Our techniques rely on the infinite-dimensional ergodic theory and in particular, on the study of the top Oseledets space of a parametrized transfer operator cocycle. Finally, we exhibit a surprising phenomenon: a random system and a smooth observable for which quenched linear response holds, but annealed response fails.
quenched linear response ; expanding on average cocycles
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Podaci o izdanju
399
2023.
423-452
objavljeno
0010-3616
1432-0916
10.1007/s00220-022-04560-1