Entomological news.

v. 71 1960

Entomological news.

v. 78 1967

Entomological news.

v. 98 1987

Entomological news.

v. 99 1988

Entomological news.

v. 68-69 1957

Entomological news.

v. 80-81 1969

Entomological news.

v. 111 2000

Entomological news.

v. 100 1989

Entomological news.

v. 110 1999

Agricultural news.

3, 1904

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.

Agricultural news.

1, 1902