منابع مشابه
Holomorphic Matrix Integrals
We study a class of holomorphic matrix models. The integrals are taken over middle dimensional cycles in the space of complex square matrices. As the size of the matrices tends to infinity, the distribution of eigenvalues is given by a measure with support on a collection of arcs in the complex planes. We show that the arcs are level sets of the imaginary part of a hyperelliptic integral connec...
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This is a study of holomorphic matrix models, the matrix models which underlie the conjecture of Dijkgraaf and Vafa. I first give a systematic description of the holomorphic one-matrix model. After discussing its convergence sectors, I show that certain puzzles related to its perturbative expansion admit a simple resolution in the holomorphic set-up. Constructing a ‘complex’ microcanonical ense...
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then by a well-known theorem of M. Riesz, ll/(*)IU<^ll/(*)IU ifi<#<«. Hardy and Littlewood [4], and Babenko [l], have complemented this result by proving that: \\f(x)\x\e\\p<Ap.f!\\f(x)\x\e\\P, if l<p< co, and -l/p<P<l/p'. The theory of conjugate functions has been extended to w-dimensions by A. P. Calderon and A. Zygmund. In [2] and [3] they have considered a wide variety of singular transform...
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In financial applications of QMC methods, often integrals appear with a singular integrand on the integration boundary. As the variation in the sense of Hardy and Krause is not bounded for such functions, one has to use other theorems than the Koksma-Hlawka inequality to show convergence of QMC methods and estimate the convergence rate. Recently, a lot of research effort has been spent on this ...
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We construct a matrix representation of compact membranes analytically embedded in complex tori. Brane configurations give rise, via Bergman quantization, to U(N) gauge fields on the dual torus, with almost-anti-self-dual field strength. The corresponding U(N) principal bundles are shown to be non-trivial, with vanishing instanton number and first Chern class corresponding to the homology class...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2004
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(04)00330-x