21 citations · 64 across the 12 of their papers we have counts for
12 papers · 1 filter
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…
Statistical stability and linear response for random hyperbolic dynamics
Davor Dragičević, Julien Sedro
We consider families of random products of close-by Anosov diffeomorphisms, and show that statistical stability and linear response hold for the associated families of equivariant…
Regularity of characteristic exponents and linear response for transfer operator cocycles
Julien Sedro, Hans Henrik Rugh
We consider cocycles obtained by composing sequences of transfer operators with positive weights, associated with uniformly expanding maps (possibly having countably many branches)…
Quadratic response of random and deterministic dynamical systems
Stefano Galatolo, Julien Sedro
We consider the linear and quadratic higher order terms associated to the response of the statistical properties of a dynamical system to suitable small perturbations. These terms…
Arnold maps with noise: Differentiability and non-monotonicity of the rotation number
L. Marangio, J. Sedro, S. Galatolo +2
Arnold's standard circle maps are widely used to study the quasi-periodic route to chaos and other phenomena associated with nonlinear dynamics in the presence of two rationally un…
Regularity of the spectrum for expanding maps
Julien Sedro
In this short note, we propose to extend differentiability (with respect to a multidimensional parameter) of a normalized eigenfunction associated to the simple, dominating eigenva…
A regularity result for fixed points, with applications to linear response
Julien Sedro
In this paper, we show a series of abstract results on fixed point regularity with respect to a parameter. They are based on a Taylor development taking into account a loss of regu…