Some two-dimensional extensions of Bougerol's identity in law for the exponential functional of linear Brownian motion

We present a two-dimensional extension of an identity in distribution due to Bougerol \cite{Bou} that involves the exponential functional of a linear Brownian motion. Even though this identity does not extend at the level of processes, we point at further striking relations in this direction

Convex Tours of Bounded Curvature

We consider the motion planning problem for a point constrained to move along a smooth closed convex path of bounded curvature. The workspace of the moving point is bounded by a convex polygon with m vertices, containing an obstacle in a form of a simple polygon with $n$ vertices. We present an O(m+n) time algorithm finding the path, going around the obstacle, whose curvature is the smallest possible.Comment: 11 pages, 5 figures, abstract presented at European Symposium on Algorithms 199

Genetic algorithms for automatic regroupment of Air Traffic Control sectors

http://dl.acm.org/citation.cfm?id=546164International audienceIn this paper, we show how genetic algorithms can be used to compute automatically a balanced regroupement of Air Traffic Control sectors to optimally reduce the number of controller teams during daily low flow periods

Des éléphants antiques (Palaeoloxodon antiquus) à Brétignolles-sur-Mer (Vendée, France)

Following the 1989-90 winter storms, remains of several straight-tusked elephants as well as a rich quaternary paleoflora were found on the strand of La Parée beach in Brétignolles-sur-Mer (Vendée, France). The story of these findings, the diggings of the bones, the dating and the paleoenvironment of the deposits are mentioned in this article. The sediments are old "peat bogs" which belong to two distinct eras : Pleistocene (peat bog holding the remains of straight-tusked elephants) and Holocene (peat bog showing tracks of Bovidae and prints of tools, and higher peat bogs)