Geodesics and generalized geodesics: Difference between revisions
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: '''Theorem.'''(Benamow-Brenier)<ref name=Santambrogio /> Let <math> \mu, \nu \in P_{2}(R^{d}) </math>, <br> | : '''Theorem.'''(Benamow-Brenier)<ref name=Santambrogio /> Let <math> \mu, \nu \in P_{2}(R^{d}) </math>, <br> | ||
<math> w_{2}^{2}(\mu,\vu)=\inf_{(\mu(t).\nu(t))}{\int_{0}^{1}}<\math> | <math> w_{2}^{2}(\mu,\vu)=\inf_{(\mu(t).\nu(t))}{\int_{0}^{1}} <\math> | ||
= References = | = References = | ||
Revision as of 11:27, 8 June 2020
Statement of Theorem
- Theorem.(Benamow-Brenier)[1] Let ,
<math> w_{2}^{2}(\mu,\vu)=\inf_{(\mu(t).\nu(t))}{\int_{0}^{1}} <\math>