PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, John Roe.

Title:Total curvature and pursuit-evasion games.
Seminar:Geometry Luncheon Seminar
Speaker:Stephanie Alexander, UIUC
Abstract:
We show how circumradius and asymptotic behavior are controlled by growth rates of total curvature, for curves in spaces of curvature bounded above. We apply our results to the capture problem in pursuit-evasion games, obtaining results that are new even for convex Euclidean domains and hold for playing fields vastly more general than these. This is joint work with Dick Bishop and Rob Ghrist.

Room Reservation Information

Room Number:MB114
Date:04 / 07 / 2010
Time:12:15pm - 01:30pm