Generalized Cauchy identities, trees and multidimensional Brownian motions. Part I: bijective proof of generalized Cauchy identities

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dc.creatorSniady, Piotr
dc.date2004-12-02
dc.date2006-06-13
dc.date.accessioned2026-07-07T06:39:06Z
dc.date.available2026-07-07T06:39:06Z
dc.descriptionIn this series of articles we study connections between combinatorics of multidimensional generalizations of 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 multidimensional generalizations of the Cauchy identity. Our bijection uses oriented planar trees equipped with some linear orders.
dc.descriptionVersion 2: numerous misprints were corrected. Version 3: bijections described in an algorithmic way
dc.identifierhttps://arxiv.org/abs/math/0412043
dc.identifierhttp://arxiv.org/abs/math/0412043
dc.identifierElectron. J. Combin. 13(1), 2006, Research Paper 62
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100963
dc.subjectCombinatorics
dc.subjectProbability
dc.subject60J65; 05A19
dc.titleGeneralized Cauchy identities, trees and multidimensional Brownian motions. Part I: bijective proof of generalized Cauchy identities
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