Generalized Cauchy identities, trees and multidimensional Brownian motions. Part II: Combinatorial differential calculus

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dc.creatorJez, Artur
dc.creatorSniady, Piotr
dc.date2007-08-25
dc.date.accessioned2026-07-07T08:25:45Z
dc.date.available2026-07-07T08:25:45Z
dc.descriptionWe present an analogue of the differential calculus in which the role of polynomials is played by certain ordered sets and trees. Our combinatorial calculus has all nice features of the usual calculus and has an advantage that the elements of the considered ordered sets might carry some additional information. In this way an analytic proof of generalized Cauchy identities from the previous work of the second author can be directly reformulated in our new language of the combinatorial calculus; furthermore the additional information carried by vertices determines uniquely the bijections presented in Part I of this series.
dc.identifierhttps://arxiv.org/abs/0708.3441
dc.identifierhttp://arxiv.org/abs/0708.3441
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136722
dc.subjectCombinatorics
dc.subject68R05, 06A07, 05C05
dc.titleGeneralized Cauchy identities, trees and multidimensional Brownian motions. Part II: Combinatorial differential calculus
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