From the 1 of 17 linked papers with an AI index.
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Quenched and annealed linear response for some partially hyperbolic skew products
Davor Dragicevic, Yeor Hafouta
We prove quenched and annealed statistical stability, linear response, and differentiability of asymptotic moments for parametric families of partially hyperbolic skew products, wi…
Effective quenched linear response for random dynamical systems
Davor Dragicevic, Yeor Hafouta
We prove ``effective'' linear response for certain classes of non-uniformly expanding random dynamical systems which are not necessarily composed in an i.i.d manner. In application…
Livšic regularity for random and sequential dynamics through transfer operators
Lucas Backes, Davor Dragicevic, Yeor Hafouta
We prove LivÅ¡ic-type regularity results of coboundary representations for non-autonomous dynamical systems. Our results have an abstract nature and apply to several important spec…
Decay of correlations and limit theorems for random intermittent maps
Davor Dragicevic, Yeor Hafouta, Juho Leppanen
In this paper, we revisit the problem of polynomial memory loss and the central limit theorem for time-dependent LSV maps. More precisely, we show that for random LSV maps correspo…
Iterated invariance principle for random dynamical systems
Davor Dragicevic, Yeor Hafouta
We prove a weak iterated invariance principle for a large class of non-uniformly expanding random dynamical systems. In addition, we give a quenched homogenization result for fast-…
Spectral methods for limit theorems for random expanding transformations
Yeor Hafouta
We extend the spectral method for proving limit theorems to random non-uniformly expanding dynamical systems. This yields the CLT and moderate deviations principles (MDP). We show…