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Titlebook: Asymptotic Expansion of a Partition Function Related to the Sinh-model; Gaëtan Borot,Alice Guionnet,Karol K. Kozlowski Book 2016 Springer

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Distaler Unterschenkel (Pilon tibial),One of the simplest and yet non-trivial example of an .-fold multiple integral that we are interested in is provided by the partition function of a .-ensemble with varying weights.
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Frakturen der Mittelhand und Finger This asymptotic expansion contains .-dependent functionals of the equilibrium measure whose large-. asymptotic analysis will be carried out in Sections .–.. We shall first obtain some . bounds on the fluctuations of linear statistics around their means computed . the .-dependent equilibrium measure
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Ermüdungsbrüche und Loosersche Umbauzonen we introduce the singular integral operator ..This operator is a regularisation of the operator . in the sense that, formally, .. This regularisation enables to set a well defined associated Riemann–Hilbert problem, and is such that, once all calculations have been done and the inverse of . constru
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https://doi.org/10.1007/978-3-642-86765-1t, of the various integrals involving . arising from the Schwinger–Dyson equations of Proposition .. Furthermore, these local asymptotics will provide a base for estimating the . norms of the inverse of the master operator ., .. (.). In fact, such estimates demand to have a control on the leading an
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Ermüdungsbrüche und Loosersche Umbauzonenl with the one-fold integrals that arise in the characterisation of the image space . of . under the operator .. Then, in Section ., we evaluate asymptotically in . one-dimensional integrals of . versus test functions .. This provides the first set of results that were necessary in Section . for a t
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