Generalized Cauchy identities, trees and multidimensional Brownian motions. I: Bijective proof of generalized Cauchy identities
The electronic journal of combinatorics, Tome 13 (2006)
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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.
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
@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
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