4 papers · 1 filter
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…
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…