Geodesic
Generalized Cauchy identities, trees and multidimensional Brownian motions. I: Bijective proof of generalized Cauchy identities
The electronic journal of combinatorics, Tome 13 (2006)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

In this series of articles we study connections between combinatorics of multidimensional generalizations of the Cauchy identity and continuous objects such as multidimensional Brownian motions and Brownian bridges. In Part I of the series we present a bijective proof of the multidimensional generalizations of the Cauchy identity. Our bijection uses oriented planar trees equipped with some linear orders.
DOI : 10.37236/1088
Classification : 60J65, 05A19 
@article{10_37236_1088,
     author = {Piotr \v{S}niady},
     title = {Generalized {Cauchy} identities, trees and multidimensional {Brownian} motions. {I:} {Bijective} proof of generalized {Cauchy} identities},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1088},
     zbl = {1165.60340},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1088/}
}
TY  - JOUR
AU  - Piotr Šniady
TI  - Generalized Cauchy identities, trees and multidimensional Brownian motions. I: Bijective proof of generalized Cauchy identities
JO  - The electronic journal of combinatorics
PY  - 2006
VL  - 13
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1088/
DO  - 10.37236/1088
ID  - 10_37236_1088
ER  - 
%0 Journal Article
%A Piotr Šniady
%T Generalized Cauchy identities, trees and multidimensional Brownian motions. I: Bijective proof of generalized Cauchy identities
%J The electronic journal of combinatorics
%D 2006
%V 13
%U http://geodesic.mathdoc.fr/articles/10.37236/1088/
%R 10.37236/1088
%F 10_37236_1088
Piotr Šniady. Generalized Cauchy identities, trees and multidimensional Brownian motions. I: Bijective proof of generalized Cauchy identities. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1088

Cité par Sources :