3 papers
math.DS2020
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)…
math.DS2019
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…
math.DS2019
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…