The classical theory of linear response applies to statistical mechanics close to equilibrium.
Away from equilibrium, one may describe the microscopic time evolution by a general …

The use of linear response theory for forced dissipative stochastic dynamical systems
through the fluctuation dissipation theorem is an attractive way to study climate change …

Consider a smooth one-parameter family t-> f_t of dynamical systems f_t, with| t|< epsilon.
Assume that for all t (or for many t close to t= 0) the map f_t admits a unique SRB invariant …

We present a common framework to study decay and exchanges rates in a wide class of
dynamical systems. Several applications, ranging from the metric theory of continuos …

In this chapter we review stochastic modelling methods in climate science. First we provide a
conceptual framework for stochastic modelling of deterministic dynamical systems based on …

We develop an algorithm for the equivariant divergence formula of the unstable perturbation
of unstable transfer operators, by progressively computing many bounded vectors or …

We review generalized fluctuation-dissipation relations, which are valid under general
conditions even in “nonstandard systems,” eg, out of equilibrium and/or without a …

We study for the first time linear response for random compositions of maps, chosen
independently according to a distribution P. We are interested in the following question: how …

The long-term average response of observables of chaotic systems to dynamical
perturbations can often be predicted using linear response theory, but not all chaotic …

We consider the one parameter family α ↦ T_ α α↦ T α (α ∈ 0, 1) α∈ 0, 1)) of Pomeau-
Manneville type interval maps T_ α (x)= x (1+ 2^ α x^ α) T α (x)= x (1+ 2 α x α) for x ∈ 0, 1/2) …