5,701 research outputs found

    Son of Quisling Speaks

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    Poem by Jan H. de Groot, translated by Case J. Boot from Modern Koren

    Holland

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    Poem by Jan H. de Groot, translated by Case J. Boot from Modern Koren

    Execution Wetering Park (Amsterdam, March 2, 1945, 9:15-9:35 a.m.)

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    Poem by Jan H. de Groot, translated by Case J. Boot from Modern Koren

    Cauchy's formulas for random walks in bounded domains

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    Cauchy's formula was originally established for random straight paths crossing a body BRnB \subset \mathbb{R}^{n} and basically relates the average chord length through BB to the ratio between the volume and the surface of the body itself. The original statement was later extended in the context of transport theory so as to cover the stochastic paths of Pearson random walks with exponentially distributed flight lengths traversing a bounded domain. Some heuristic arguments suggest that Cauchy's formula may also hold true for Pearson random walks with arbitrarily distributed flight lengths. For such a broad class of stochastic processes, we rigorously derive a generalized Cauchy's formula for the average length travelled by the walkers in the body, and show that this quantity depends indeed only on the ratio between the volume and the surface, provided that some constraints are imposed on the entrance step of the walker in BB. Similar results are obtained also for the average number of collisions performed by the walker in BB, and an extension to absorbing media is discussed.Comment: 12 pages, 6 figure

    Sensitivity to the KARMEN Timing Anomaly at MiniBooNE

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    We present sensitivities for the MiniBooNE experiment to a rare exotic pion decay producing a massive particle, Q^0. This type of decay represents one possible explanation for the timing anomaly reported by the KARMEN collaboration. MiniBooNE will be able to explore an area of the KARMEN signal that has not yet been investigated

    Further information on the origin of the Yale and Oak Ridge wild-type strains of Neurospora crassa

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    Further information on the origin of the Yale and Oak Ridge wild-type strains of Neurospora crass

    Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data

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    We develop direct and inverse scattering theory for Jacobi operators (doubly infinite second order difference operators) with steplike coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients on different sides. We give necessary and sufficient conditions for the scattering data in the case of perturbations with finite second (or higher) moment.Comment: 23 page
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