Catalan numbers, permutation tableaux and asymmetric … · 2017-10-06 · Catalan numbers,...

Catalan numbers,permutation tableaux

andasymmetric exclusion process

xavier viennotLaBRI, Bordeaux

GASCOM’06, Dijon

Permutation tableaux

Catalan tableaux

Alexander Burstein, 2006

Sylvie Corteel, 2006

Niklas Eriksen, 2006

Astrid Reifegerste, 2006

bijection Catalan tableaux

binary trees

TASEP with Catalan tableaux

Williams, Corteel, 2006

relation with Shapiro-Zeilberger interpretation

Williams, Corteel 2006

P (s) = 1/ C (nb of Catalan tableaux ....)n n+1

Orthogonal polynomials

Operators algebra

DE = D + E

algèbre de Connes - Kreimer

Richard Feynman

Renormalisation

algèbre de Loday - Ronco

Jean-Louis Loday

associaèdre

14 sommets

C’est la fin ...

de l’exposé

et de GASCOM’06

Merci à tous !

http://web.mac.com/xgviennot/iWeb/Xavier_Viennot

login: xavier, psswd: Catalan

ASEP

Orthogonal polynomials

fin

Operators algebra

Permutations tableaux

Catalan tableaux

bijection Catalan tableaux - binary trees

TASEP with Catalan tableaux