SATANA (an IMSE affiliated seminar): Roger Brockett, October 7 , AH 345

Roger Brockett, Harvard Optimal Cyclic Processes and subRiemannian Geodesics

The basic mechanisms involved in wide variety of engineering and biological processes depend on properties of non integrable distributions define by collections of vector fields. It often happens that the most efficient trajectories define closed subriemannian geodesics. In this talk we will establish some of the [...]

pursuit and CAT(0)

Dick Bishop (UIUC)

Comparison geometry, total curvature, pursuit-evasion

Abstract: (Joint work with S. Alexander and R. Ghrist.) After a review of comparison geometry, total curvature, and pursuit-evasion in CAT(0) spaces, the properties of pursuit flow, particularly its invariant conics (see Figure), for an evader tracking a line in the plane will be examined. A comparison [...]