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
Senior Editor:
Sophia Jahns
Junior Editor:
Sabiha Tokus

Licence

DOI

10.14760/SNAP-2019-007-EN

Télécharger PDF

PDF

snapshots: overview

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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