— We develop dynamical methods for studying left-orderable groups as well as the spaces of orderings associated to them. We give new and elementary proofs of theorems by Linnell (if a left-orderable… (More)

This work is devoted to the study of minimal, smooth actions of finitely generated groups on the circle. We provide a sufficient condition for such an action to be ergodic (with respect to the… (More)

We prove two theorems of reduction of cocycles taking values in the group of diffeomorphisms of the circle. They generalise previous results obtained by the author concerning rigidity for smooth… (More)

A theory for groups of diffeomorphisms of the interval has been extensively developed by many authors (see for example [17, 19, 20, 25, 27, 30, 31, 32, 33, 35]). One of the most interesting topics of… (More)

According to Thurston’s stability theorem, every group of C diffeomorphisms of the closed interval is locally indicable (i.e., every finitely generated subgroup factors through Z). We show that, even… (More)

An efficient way to include the effects of quantum confinement and volume inversion in the MOS3 compact model for lightly doped triple-gate silicon-on-insulator MOSFETs is presented. The model is… (More)

Let d > 2 be an integer number, and let fk, k ∈ {1, . . . , d}, be Ck commuting circle diffeomorphisms, with τk ∈ ]0, 1[ and τ1 + · · · + τd > 1. We prove that if the rotation numbers of the fk’s are… (More)

We study the topological space of left-orderings of the braid group, and its subspace of Nielsen-Thurston orderings. Our main result is that no Nielsen-Thurston ordering is isolated in the space of… (More)

In this Note we deal with bi-Lipschitz homeomorphisms conjugating actions by C circle diffeomorphisms. Using an equivariant version of the classical Gottschalk-Hedlund Lemma, we prove that such a… (More)