1 Introduction Braids and Signatures (2008)
Jean-marc Gambaudo, Étienne Ghys
This paper deals with the interaction of the following two standard constructions in knot theory.
The Asymptotic Maslov Index And Its Applications (2007)
Gonzalo Contreras, Jean-Marc Gambaudo, Renato Iturriaga, Gabriel P. Paternain
. Let N be a 2n-dimensional manifold equipped with a symplectic structure ! and (N ) be the Lagrangian Grassmann bundle over N . Consider a ow t on N that preserves the symplectic structure and a t...
Spaces of tilings, finite telescopic approximations and gap-labeling (2006)
Bellissard, Jean, Benedetti, Riccardo, Gambaudo, Jean-Marc
The continuous Hull of a repetitive tiling T in R-d with the Finite Pattern Condition (FPC) inherits a minimal R-d-lamination structure with flat leaves and a transversal Gamma(T) which is a Cantor...
Rotation topological factors of minimal $\ZM^{d}$-actions on the cantor set (2004)
Cortez, Maria Isabel, Gambaudo, Jean-Marc, Maass, Alejandro
In this paper we study conditions under which a free minimal $\mz^d$-action on the Cantor set is a topological extension of the action of $d$ rotations, either on the product $\mt^d$ of $d$ 1-tori or...
On the Dynamics of G-Solenoids. Applications to Delone Sets (2002)
Benedetti, Riccardo, Gambaudo, Jean-Marc
A G-solenoid is a laminated space whose leaves are copies of a single Lie group G, and whose transversals are totally disconnected sets. It inherits a G-action and can be considered as dynamical...
Spaces of tilings, finite telescopic approximations and gap-labelling (2001)
Bellissard, Jean, Benedetti, Riccardo, Gambaudo, Jean-Marc
For a large class of tilings, including the Penrose tiling in two dimension as well as the icosahedral ones in 3 dimension, the continuous hull of such a tiling inherits a minimal lamination...
Signature asymptotique d'un champ de vecteurs en dimension 3 (2001)
Gambaudo, Jean-Marc, Ghys, Étienne
Consider a volume preserving vector field defined in some compact domain of 3-space and tangent to its boundary. A long piece of orbit can be made into a knot by connecting its endpoints by some arc...
Dynamical cocycles with values in the Artin braid group (1997)
Gambaudo, Jean-Marc, Pécou, Élisabeth E.
By considering the way an n-tuple of points in the 2-disk are linked together under iteration of an orientation preserving diffeomorphism, we construct a dynamical cocycle with values in the Artin...