Extremal Lipschitz functions on isoperimetric spaces

Tuesday, November 29, 2011 - 11:00am - 12:00pm
Lind 305
Dainius Dzindzalieta (Vilnius State University)
We consider Lipschitz functions on probability metric spaces. We provide an explicit description of Lipchitz functions which are deviated from it's mean by some number $x$ with a largest possible probability. It turns out that negative distance functions are the extremal ones.