Multi-Marginal Optimal Transportation Problem for Cyclic Costs

نویسندگان

چکیده

We study a multi-marginal optimal transportation problem with cost function of the form $c(x_{1}, \ldots,x_{m})=\sum_{k=1}^{m-1}|x_{k}-x_{k+1}|^{2} + |x_{m}- F(x_{1})|^{2}$, where $F: \mathbb{R}^...

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ژورنال

عنوان ژورنال: Siam Journal on Mathematical Analysis

سال: 2021

ISSN: ['0036-1410', '1095-7154']

DOI: https://doi.org/10.1137/19m130889x