Naslov
Quenched linear response for smooth expanding on average cocycles

Autori
Dragičević, Davor ; Giulietti, Paolo ; Sedro, Julien

Izvornik
Communications in mathematical physics (0010-3616) 399 (2023); 423-452

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
quenched linear response ; expanding on average cocycles

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA