Recueil de mémoires et autres pièces de prose et de vers : qui ont été lus dans les séances de la Société des amis des sciences, des lettres, de l'agriculture et des arts, à Aix.

Tom 1 1819

Memoires de l'Academie des Sciences, Agriculture, Arts et Belles-Lettres (Aix)

Tom 5 1844

Mémoires presentés a L'Institut des Sciences, Lettres et Arts, par divers savants èt lus dans ses assemblées : Sciences, Mathématiques et Physiques

11

Memoires de l'Academie (Royale) des Sciences, Belles-Lettres et Arts de Savoie.

6 (Serie 1)

Memoires de l'Academie (Royale) des Sciences, Belles-Lettres et Arts de Savoie.

11 (Serie 1)

Memoires de la Société (Royale) des sciences, de l'agriculture et des arts à Lille.

2nd ser., v. 1 (1854)

Memoires de la Société (Royale) des sciences, de l'agriculture et des arts à Lille.

1852

Mémoires de l'Academie (Royale) des Sciences, Belles-Lettres et Arts de Lyon.

1

Mémoires de l'Academie (Royale) des Sciences, Belles-Lettres et Arts de Lyon.

2

Mémoires de l'Academie (Royale) des Sciences, Belles-Lettres et Arts de Lyon.

9

Mémoires de l'Academie (Royale) des Sciences, Belles-Lettres et Arts de Lyon.

7

Contractions in the 2-wasserstein lenght space and thermalization of granular media

An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a spatially homogeneous flow-through model representing the continuum limit of a gas of particles interacting through slightly inelastic collisions. This rate is obtained by reformulating the dynamical problem as the gradient flow of a convex energy on an infinite-dimensional manifold. An abstract theory is developed for gradient flows in length spaces, which shows how degenerate convexity (or even non-convexity) | if uniformly controlled | will quantify contractivity (limit expansivity) of the flow.

The Instrumental voter goes to the news-agent: demand for information, election closeness, and the media

This paper studies the impact of instrumental voting on information demand and mass media behaviour during electoral campaigns. If voters act instrumentally then information demand should increase with the closeness of an election. Mass media are modeled as profit-maximizing firms that take into account information demand, the value of customers to advertisers and the marginal cost of customers. Information supply should be larger in electoral constituencies where the contest is expected to be closer, there is a higher population density, and customers are on average more profitable for advertisers. The impact of electorate size is theoretically undetermined. These conclusions are then tested with comfortable results on data from the 1997 general election in Britain.

Caldron

Combined media on paper. 96" x 40", Fire River Series. Private Collection