MATH Seminar
| Title: Optimal partitions of measures |
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| Colloquium: N/A |
| Speaker: Gershon Wolansky of Technion - Israel Institute of Technology |
| Contact: Professor Vladimir Oliker, oliker@mathcs.emory.edu |
| Date: 2012-09-27 at 4:00PM |
| Venue: MSC W301 |
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| Abstract: Let $X$ 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. |
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