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An Ermakov-Pinney-like equation associated with the scalar wave equation in curved space-time is here studied. The example of Schwarzschild space-time considered in the present work shows that this equation can be viewed more as a "model equation," with interesting applications in black hole… |
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We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz… |
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The duality between service providers and services consumers is a basic pattern of service oriented computing. A service oriented approach to business processes and to adaptive interacting processes requires an additional pattern based on the, possibly online, interaction between specification,… |
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Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and \emph{speed} diagrams) show some peculiarities not yet fully reproduced nor explained by mathematical models.… |
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We show that a nonparametric estimator of a regression function, obtained as solution of a specific regularization problem is the bestlinear unbiased predictor in some nonparametric mixed effect model. Since this estimator is
intractable from a numerical point of view, we propose a tight… |
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Unsupervised learning approaches are frequently employed to stratify patients into clinically relevant subgroups and to identify biomarkers such as disease-associated genes. However, clustering and biclustering techniques are oblivious to the functional relationship of genes and are thus not… |
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