Optimal mass transportation and Mather theory

@inproceedings{Bernard2004OptimalMT,
  title={Optimal mass transportation and Mather theory},
  author={Patrick Bernard and B. Buffoni},
  year={2004}
}
Several observations have recently renewed the interest for the classical topic of optimal mass transportation, whose primary origin is attributed to Monge a few years before French revolution. The framework is as follows. A space M is given, which in the present paper will be a compact manifold, as well as a continuous cost function c(x, y) : M ×M −→ R. Given two probability measures μ0 and μ1 on M , the mappings Ψ : M −→ M which transport μ0 into μ1 and minimize the total cost ∫ M c(x,Ψ(x))d… CONTINUE READING
Highly Cited
This paper has 50 citations. REVIEW CITATIONS

Topics

Statistics

0510'05'06'07'08'09'10'11'12'13'14'15'16'17'18
Citations per Year

fewer than 50 Citations

Semantic Scholar estimates that this publication has 50 citations based on the available data.

See our FAQ for additional information.