Generalized Cauchy identities, trees and multidimensional Brownian motions. I: Bijective proof of generalized Cauchy identities (Q2500981)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Cauchy identities, trees and multidimensional Brownian motions. I: Bijective proof of generalized Cauchy identities |
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Generalized Cauchy identities, trees and multidimensional Brownian motions. I: Bijective proof of generalized Cauchy identities (English)
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30 August 2006
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Summary: 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.
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