• Extreme Points of the Convex Set of Joint Probability Distributions with Fixed Marginals

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      https://www.ias.ac.in/article/fulltext/pmsc/117/04/0505-0515

    • Keywords

       

      $C^∗$ algebra; covariant bistochastic maps; completely positive map; Stinespring’s theorem; extreme points of a convex set.

    • Abstract

       

      By using a quantum probabilistic approach we obtain a description of the extreme points of the convex set of all joint probability distributions on the product of two standard Borel spaces with fixed marginal distributions.

    • Author Affiliations

       

      K R Parthasarathy1

      1. Indian Statistical Institute, Delhi Centre, 7, S.J.S. Sansanwal Marg, New Delhi 110 016, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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