16,798 research outputs found

    Cool Pions move at less than the speed of light

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    At nonzero temperature, pions propagate through a thermal medium at less than the speed of light. About low temperature, this effect begins not at ∼T2\sim T^2, but at next to leading order, ∼T4\sim T^4. We also derive the generalization of the relation of Gell-Mann, Oakes, and Renner to nonzero temperature.Comment: 11 pages, latex + sprocl.sty, talk given at Continuous Advances in QCD'96, Minneapoli

    Transversely Hessian foliations and information geometry

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    A family of probability distributions parametrized by an open domain Λ\Lambda in RnR^n defines the Fisher information matrix on this domain which is positive semi-definite. In information geometry the standard assumption has been that the Fisher information matrix tensor is positive definite defining in this way a Riemannian metric on Λ\Lambda. If we replace the "positive definite" assumption by the existence of a suitable torsion-free connection, a foliation with a transversely Hessian structure appears naturally. In the paper we develop the study of transversely Hessian foliations in view of applications in information geometry

    Bayesian Core: The Complete Solution Manual

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    This solution manual contains the unabridged and original solutions to all the exercises proposed in Bayesian Core, along with R programs when necessary.Comment: 118+vii pages, 21 figures, 152 solution
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