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Non-archimedean transportation problems and Kantorovich ultra-norms

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 نشر من قبل Michael Megrelishvili
 تاريخ النشر 2015
  مجال البحث
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We study a non-archimedean (NA) version of transportation problems and introduce naturally arising ultra-norms which we call Kantorovich ultra-norms. For every ultra-metric space and every NA valued field (e.g., the field $mathbb Q_{p}$ of $p$-adic numbers) the naturally defined inf-max cost formula achieves its infimum. We also present



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