14 research outputs found

    Bound states and the Bekenstein bound

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    We explore the validity of the generalized Bekenstein bound, S <= pi M a. We define the entropy S as the logarithm of the number of states which have energy eigenvalue below M and are localized to a flat space region of width a. If boundary conditions that localize field modes are imposed by fiat, then the bound encounters well-known difficulties with negative Casimir energy and large species number, as well as novel problems arising only in the generalized form. In realistic systems, however, finite-size effects contribute additional energy. We study two different models for estimating such contributions. Our analysis suggests that the bound is both valid and nontrivial if interactions are properly included, so that the entropy S counts the bound states of interacting fields.Comment: 35 page

    An introduction to fuzzy set theory with a view to the quantification and propagation of vagueness in probabilistic risk and reliability assessment

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    SIGLEAvailable from British Library Lending Division - LD:9091.9F(SRD-R--301) / BLDSC - British Library Document Supply CentreGBUnited Kingdo

    A Statistical Explanation for Extreme Bids in the House Market

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    This paper proposes a simple statistical explanation for the phenomenon of extreme bids. During a boom, the housing market regime switches from a single bidder to a multiple bidder environment. The sale price in a multiple bidder auction is the maximum bid and the distribution of maximum bids contains a much higher proportion of extreme bids compared with the distribution of single bidder valuations. While this theory does not preclude behavioural explanations of extreme bids, it does demonstrate that a world free from strategic and idiosyncratic behaviour would not be a world free from extreme bids during boom periods. Therefore, when gauging the impact of strategic or idiosyncratic behaviour (either hypothetically or empirically) one has to measure the effect against a baseline regime where extreme bids are inevitable, not against a world that is free from extreme bids
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