Highly Influenced

# Optimal mass transportation and Mather theory

@inproceedings{Bernard2004OptimalMT, title={Optimal mass transportation and Mather theory}, author={Patrick Bernard and B. Buffoni}, year={2004} }

- Published 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

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.