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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

[en] COUNTING ALTERNATING SIGN MATRICES / [pt] CONTANDO MATRIZES DE SINAIS ALTERNADOS

JULIANA ABRANTES FREIRE 04 May 2005 (has links)
[pt] Durante vinte anos, ficou em aberto uma conjectura de Mills, Robbins e Rumsey para a contagem de Alternating Sign Matrices (Matrizes de Sinais Alternados). Zeilberger demonstrou a validade das fórmulas em meados da década de 90. Esse texto apresenta outra demonstração, atribuída a Kuperberg, que emprega técnicas de física estatística (Gelo Quadrado). São apresentadas também formulações alternativas que fazem uso de produtos tensoriais matriciais. / [en] For twenty years, a conjecture by Mills, Robbins and Rumsey on the counting of Alternating Sign Matrices remained open. Zeilberger proved the formulas in the mid-90`s. This text presents another proof, attributed to Kuperberg, which uses techniques of statistical physics (square ice). Alternative formulations are also shown, making use of matrix tensor products.

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