21 citations · 64 across the 12 of their papers we have counts for
12 papers
Linear response for random and sequential intermittent maps
Davor Dragicevic, Cecilia Gonzalez-Tokman, Julien Sedro
This work establishes a quenched (trajectory-wise) linear response formula for random intermittent dynamical systems, consisting of Liverani-Saussol-Vaienti maps with varying param…
Pre-threshold fractional susceptibility function: holomorphy and response formula
Julien Sedro
For certain smooth unimodal families with negative Schwarzian derivative, we construct a set of Collet-Eckmann and subexponentially recurrent parameters , whose complement set h…
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…
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…
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…
Pre-threshold fractional susceptibility functions at Misiurewicz parameters
Julien Sedro
We show that the response, frozen and semifreddo fractional susceptibility functions of certain real-analytic unimodal families, at Misiurewicz parameters and for fractional differ…