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Seminar Details

Sets that Support a Joint Distribution

  • Start Date: February 5, 2024
  • Event Start Time: 2:00 PM
  • Event End Time: 3:00 PM
  • Seminar Series: Rutgers Discrete Mathematics Seminar
  • Presenter(s): Peter Winkler - Dartmouth College
  • Event Location: Hill Center-Room 705
  • Event Additional Info: <p>See:&nbsp;<a href="https://sites.google.com/view/rutgersdmseminar">https://sites.google.com/view/rutgersdmseminar</a></p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Given a closed set on the plane and two probability distributions on the real line, when are there random variables with the given distributions whose joint distribution is supported by the given set?

    We consider both discrete and continuous distributions; in the latter case, the problem is equivalent to asking which sets in the unit square can support a permuton, i.e., a Borel distribution on the unit square with uniform marginals.

    Joint work with Chris Coscia and Martin Tassy.