# Seminar detail

 Upcoming Seminars No upcoming seminars currently scheduled. Past Seminars Thu09/27/20124:00pm ColloquiumOptimal partitions of measuresGershon Wolansky, Technion - Israel Institute of TechnologyContact: Professor Vladimir Oliker, oliker@mathcs.emory.eduVenue: Mathematics and Science Center, Room W301Download printable flyer (PDF, 54.2 kB)Hide abstractLet $X$ be a probability measure space and $\psi_1....\psi_N$ measurable, real valued functions on $X$. Consider all possible partitions of $X$ into $N$ disjoint subdomains $X_i$ on which $\int_{X_i}\psi_i$ are prescribed. I'll address the question of characterizing the set $(m_1,,,m_N) \in \mathbb{R}^N$ for which there exists a partition $X_1, \ldots X_N$ of $X$ satisfying $\int_{X_i}\psi_i= m_i$ and discuss some optimization problems on this set of partitions. The relation of this problem to semi-discrete version of optimal mass transportation is discussed, as well as applications to game theory.