3,108 research outputs found

    On the Casselman-Jacquet functor

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    We study the Casselman-Jacquet functor JJ, viewed as a functor from the (derived) category of (g,K)(\mathfrak{g},K)-modules to the (derived) category of (g,N−)(\mathfrak{g},N^-)-modules, N−N^- is the negative maximal unipotent. We give a functorial definition of JJ as a certain right adjoint functor, and identify it as a composition of two averaging functors Av!N−∘Av∗N\text{Av}^{N^-}_!\circ \text{Av}^N_*. We show that it is also isomorphic to the composition Av∗N−∘Av!N\text{Av}^{N^-}_*\circ \text{Av}^N_!. Our key tool is the pseudo-identity functor that acts on the (derived) category of (twisted) DD-modules on an algebraic stack.Comment: Very minor modifications, compared to previous version (to appear in Proceedings of Symposia in Pure Mathematics volume, titled "Representations of Reductive Groups"

    Bounds on coverage probabilities of the empirical likelihood ratio confidence regions

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    This paper studies the least upper bounds on coverage probabilities of the empirical likelihood ratio confidence regions based on estimating equations. The implications of the bounds on empirical likelihood inference are also discussed

    Re-entrant Layer-by-Layer Etching of GaAs(001)

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    We report the first observation of re-entrant layer-by-layer etching based on {\it in situ\/} reflection high-energy electron-diffraction measurements. With AsBr3_3 used to etch GaAs(001), sustained specular-beam intensity oscillations are seen at high substrate temperatures, a decaying intensity with no oscillations at intermediate temperatures, but oscillations reappearing at still lower temperatures. Simulations of an atomistic model for the etching kinetics reproduce the temperature ranges of these three regimes and support an interpretation of the origin of this phenomenon as the site-selectivity of the etching process combined with activation barriers to interlayer adatom migration.Comment: 11 pages, REVTeX 3.0. Physical Review Letters, in press

    Jpn J Infect Dis

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    CC999999/ImCDC/Intramural CDC HHS/United States2021-01-17T00:00:00Z22996226PMC8211372988

    Classical Magnetic Frustration

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    From the Washington University Senior Honors Thesis Abstracts (WUSHTA), 2017. Published by the Office of Undergraduate Research. Joy Zalis Kiefer, Director of Undergraduate Research and Associate Dean in the College of Arts & Sciences; Lindsey Paunovich, Editor; Helen Human, Programs Manager and Assistant Dean in the College of Arts and Sciences Mentor: E. A. Henrikso

    Measurement of the Cosmic-Ray Be/B Ratio and the Age of Cosmic Rays

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    The ratio Be/B depends on whether the confinement time of cosmic rays in the Galaxy is long or short compared to the radioactive half-life of ^(10)Be. We report observations of this ratio which were obtained with a dE/dx-Cerenkov detector launched into a polar orbit on OGO-6 as part of the Caltech Solar and Galactic Cosmic Ray Experiment. Be/B ratios were determined for various rigidity thresholds up to 15 GV. We find no statistically significant rigidity dependence of the ratio, which is 0.41 ± 0.02 when averaged over all observed cutoffs. When averaged over cutoffs ≥1.8 GV, the ratio is 0.43 ± 0.03, which can be compared directly to the ratio of 0.42 ± 0.06 calculated by O'Dell, Shapiro, Silberberg, and Tsao assuming ^(10)Be survival. Additional calculations suggest that if the present fragmentation parameters are correct, then the lifetime of cosmic rays in the Galaxy is < 10^7 y

    Demonstration of the Chemotropism of Pollen Tubes in Vitro in Four Plant Species

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    Author Institution: Department of Botany and Plant Pathology, The Ohio State University, Columbus 1
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