Journal cover: Notices of the American Mathematical Society

Notices of the American Mathematical Society

For issues spanning 1954 to 2015, the complete Tables of Contents (TOCs) are fully accessible only by downloading the entire issue in PDF format. From 2016 onwards, the availability and detail of TOCs have significantly improved.

Table of Contents

Featured Articles and Invitations from the AMS

Manifolds with Density

Frank Morgan

The subject is Riemannian manifolds whose volume and area elements are weighted by a density function; an example is Euclidean space weighted by the Gaussian probability density function, which is known as Gauss space and used in the study of Brownian motion. The author considers the generalization to these manifolds of volume estimates and isoperimetric inequalities.