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 consider C^ 2 C 2 families t ↦ f_t t↦ ft of C^ 4 C 4 nondegenerate unimodal maps. We
study the absolutely continuous invariant probability (SRB) measure μ _t μ t of f_t ft, as a …

R.–Nous considérons des familles t↦→ ft d'applications unimodales C4, de
récurrence postcritique lente, avec une dépendance C2 en fonction du paramètre t. Nous …

The main goal of this paper is to study topological and measure‐theoretic properties of an
intriguing family of strange planar attractors. Building toward these results, we first show that …

We consider the 2D skew product $ F:(x, u)\mapsto (f (x), u+\tau (x)) $, where the base map $
f $ is a piecewise $\mathscr {C}^{2} $, covering and uniformly expanding the map of the …

We give geometric conditions that are necessary and sufficient for the existence of Sinai–
Ruelle–Bowen (SRB) measures for C^ 1+ α C 1+ α surface diffeomorphisms, thus proving a …

LINEAR RESPONSE DESPITE CRITICAL POINTS 1. Introduction Publicationwise, I am slightly
younger than Nonlinearity: My first paper Page 1 LINEAR RESPONSE DESPITE CRITICAL …

We prove strong statistical stability of a large class of one-dimensional maps which may
have an arbitrary finite number of discontinuities and of non-degenerate critical points and/or …

We study continuity, and lack thereof, of thermodynamical properties for one-dimensional
dynamical systems. Under quite general hypotheses, the free energy is shown to be almost …

We consider families of transitive multimodal interval maps with polynomial growth of the
derivative along the critical orbits. For these maps Bruin and Todd have shown the existence …