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Random permutations

Instantanés de recherche mathématique à Oberwolfach

Random permutations

100 people leave their hats at the door at a party and pick up a completely random hat when they leave. How likely is it that at least one of them will get back their own hat? If the hats carry name tags, how difficult is it to arrange for all hats to be re- turned to their owner? These classical questions of probability theory can be answered relatively easily. But if a geometric component is added, answering the same questions immediately becomes very hard, and little is known about them. We present some of the open questions and give an overview of what current research can say about them.

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Sujet mathématique

Géométrie et Topologie
Théorie des probabilités et statistique

Liens avec d'autres domaines

Physique

Auteur(s)

Volker Betz

Licence

DOI

10.14760/SNAP-2019-007-EN

Télécharger PDF

snapshots-2019-007.pdf

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snapshots: overview

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      Sujet mathématique

      Algèbre et théorie des nombres
      Analyse
      Pédagogie et éducation
      Mathématiques discrètes et fondements des mathématiques
      Géométrie et Topologie
      Calcul numérique et calcul scientifique
      Théorie des probabilités et statistique

      Liens avec d'autres domaines

      Chimie et sciences de la terre
      Informatique
      Ingénierie et technologie
      Finances
      Humanités et sciences sociales
      Sciences de la vie
      Physique
      Pensées mathématiques

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