206,698 research outputs found

    Minimal index and braided subfactors

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    The minimal index is shown to be multiplicative: if M1 ⊂ M2 ⊂ M3 are factors, then Ind(M1, M3) = Ind(M1, M2) Ind(M2, M3), extending a previous result (H. Kosaki and R. Longo, J. Funct. Anal. 107 (1992), 458-470). If M is an infinite factor, it follows that the dimension (the square root of the index) is an involutive homomorphism d: SectO(M) → R+ of the semiring of sectors with finite index. The result is applied to the study of the class of endomorphisms with a braid group symmetry that satisfies the relation between index and statistics in Quantum Field Theory (R. Longo, Commun. Math. Phys. 126 (1989), 217-247 and 130 (1990), 285-309); the analysis is generalized to this case. For these endomorphisms, the set of possible index values has several gaps besides the Jones restriction, for example, the index does not lie in the interval (4, 3 √2). As a consequence, subfactors arising in low-dimensional Quantum Field Theory cannot be arbitrary. © 1992

    Supplementary material to Longo, S., Di Federico, V., Chiapponi, L., Archetti, R.. Experimental verification of power-law non-Newtonian axisymmetric porous gravity currents. Journal of Fluid Mechanics, DOI: 10.1017/jfm.2013.389

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    Supplementary material to Longo, S., Di Federico, V., Chiapponi, L., Archetti, R.. Experimental verification of power-law non-Newtonian axisymmetric porous gravity currents. Journal of Fluid Mechanics, DOI: 10.1017/jfm.2013.38

    ON NOETHER'S THEOREM IN QUANTUM FIELD THEORY

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    Extending the construction of local generators of symmetries in (S. Doplicher, Commun. Math. Phys. 85 (1982), 73; S. Doplicher and R. Longo, Commun. Math. Phys. 88 (1983), 399) to space-time and supersymmetries, we establish a weak form of Noether's theorem in quantum field theory. We also comment on the physical significance of the “split property,” underlying our analysis, and discuss some local aspects of superselection rules following from our results

    Conformal subnets and intermediate subfactors

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    Given an irreducible local conformal net A of von Neumann algebras on S1 and a finite-index conformal subnet B ⊂ A, we show that A is completely rational iff B is completely rational. In particular this extends a result of F. Xu for the orbifold construction. By applying previous results of Xu, many coset models turn out to be completely rational and the structure results in [27] hold. Our proofs are based on an analysis of the net inclusion B ⊂ A; among other things we show that, for a fixed interval I, every von Neumann algebra R intermediate between B(I) and A(I) comes from an intermediate conformal net £ between B and A with £(I) = R. We make use of a theorem of Watatani (type II case) and Teruya and Watatani (type III case) on the finiteness of the set script J sign(N, M) of intermediate subfactors in an irreducible inclusion of factors N ⊂ M with finite Jones index [M : N]. We provide a unified proof of this result that gives in particular an explicit bound for the cardinality of script J sign(N, M) which depends only on [M : N]

    Supplementary Material available online to "Radial gravity currents in vertically graded porous media: theory and experiments for Newtonian and power-law fluids", V. Di Federico, S. Longo, L. Chiapponi, R. Archetti, V. Ciriello, Advances in Water Resources, DOI: 10.1016/j.advwatres.2014.04.015

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    Supplementary Material available online to "Radial gravity currents in vertically graded porous media: theory and experiments for Newtonian and power-law fluids", V. Di Federico, S. Longo, L. Chiapponi, R. Archetti, V. Ciriello, Advances in Water Resources, DOI: 10.1016/j.advwatres.2014.04.01

    video on the propagation of gravity current in a porous medium

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    Supplementary material to Longo, S., Di Federico, V., Chiapponi, L., Archetti, R.. Experimental verification of power-law non-Newtonian axisymmetric porous gravity currents. Journal of Fluid Mechanics, DOI: 10.1017/jfm.2013.38

    video on the propagation of axisymmetric gravity current in a porous medium

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    Supplementary material to Supplementary material to Longo, S., Di Federico, V., Chiapponi, L., Archetti, R.. Experimental verification of power-law non-Newtonian axisymmetric porous gravity currents. Journal of Fluid Mechanics, DOI: 10.1017/jfm.2013.38

    Dizionario biografico degli italiani

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    Redattore del Dizionario biografico degli italiani, diretto da R. Romanell

    A questão do financiamento de longo prazo no Brasil: uma revisão histórica

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    TCC (graduação) - Universidade Federal de Santa Catarina. Centro Sócio-Econômico. Economia.No processo de crescimento econômico, principalmente em economias emergentes que necessitam desenvolver o setor de infra-estrutura, o financiamento de longo prazo constitui um mecanismo fundamental para a viabilização de investimentos. A falta de mecanismos internos eficazes de financiamento privado de longo prazo dentro do Sistema Financeiro, ao longo da história, impôs barreiras em relação ao crescimento econômico do Brasil. O baixo crescimento econômico do nosso país durante muitas décadas resulta, em grande parte, de um sistema financeiro subdesenvolvido com claras deficiências no que se refere ao mercado de capitais e ao sistema bancário privado como elementos de suporte para as empresas realizarem seus investimentos. Este trabalho busca analisar o modelo de financiamento adotado no Brasil no século XX, além do papel atual do sistema financeiro doméstico na oferta de crédito privado
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