Limit theorems for optimal mass transportation and applications to  networks

Gershon Wolansky

doi:10.3934/dcds.2011.30.365

Article Contents

2011, Volume 30, Issue 1: 365-374. Doi: 10.3934/dcds.2011.30.365

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Limit theorems for optimal mass transportation and applications to networks

Gershon Wolansky^1,

1.
Department of Mathematics, Technion, Haifa 32000

Received: October 31, 2009

Revised: July 31, 2010

Published: December 2010

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Abstract

It is shown that optimal network plans can be obtained as a limit of point allocations. These problems are obtained by minimizing the mass transportation on the set of atomic measures of a prescribed number of atoms.

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Mathematics Subject Classification: 49S99, 49L99, 93C57.

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References

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