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Relaxed multi-marginal costs and quantization effects

math.AP · 2019-07-19 · unverdicted · novelty 6.0

Authors characterize the relaxed N-marginal cost via a stratification formula over lower-order interactions, establish duality with vanishing-at-infinity functions, prove existence and regularity of optimal dual potentials under mild assumptions, and show mass quantization in a minimization problem.

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  • Relaxed multi-marginal costs and quantization effects math.AP · 2019-07-19 · unverdicted · none · ref 13

    Authors characterize the relaxed N-marginal cost via a stratification formula over lower-order interactions, establish duality with vanishing-at-infinity functions, prove existence and regularity of optimal dual potentials under mild assumptions, and show mass quantization in a minimization problem.