Hessian Valuations
Geometric functional analysis and applications November 13, 2017 - November 17, 2017
Location: SLMath: Eisenbud Auditorium
Valuation
convex function
intrinsic volume
49L25 - Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games
49K05 - Optimality conditions for free problems in one independent variable
11-Ludwig
Different approaches to introduce intrinsic volumes and more generally mixed volumes for convex and log-concave functions were proposed by Bobkov, Colesanti and Fragal\` a, by Rotem and Milman and by Alesker. They all turn out to be valuations on the corresponding spaces. Here a new class of continuous valuations on the space of convex functions on ${\mathbb R}^n$ is introduced. On smooth convex functions, they are defined for $i=0,\dots,n$ by u↦∫Rnζ(u(x),x,∇u(x))[D2u(x)]idx
Ludwig Notes
|
Download |
11-Ludwig
H.264 Video |
11-Ludwig.mp4
|
Download |
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.