3,826 research outputs found

    Edge rigidity and universality of random regular graphs of intermediate degree

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    For random dd-regular graphs on NN vertices with 1dN2/31 \ll d \ll N^{2/3}, we develop a d1/2d^{-1/2} expansion of the local eigenvalue distribution about the Kesten-McKay law up to order d3d^{-3}. This result is valid up to the edge of the spectrum. It implies that the eigenvalues of such random regular graphs are more rigid than those of Erd\H{o}s-R\'enyi graphs of the same average degree. As a first application, for 1dN2/31 \ll d \ll N^{2/3}, we show that all nontrivial eigenvalues of the adjacency matrix are with very high probability bounded in absolute value by (2+o(1))d1(2 + o(1)) \sqrt{d - 1}. As a second application, for N2/9dN1/3N^{2/9} \ll d \ll N^{1/3}, we prove that the extremal eigenvalues are concentrated at scale N2/3N^{-2/3} and their fluctuations are governed by Tracy-Widom statistics. Thus, in the same regime of dd, 52%52\% of all dd-regular graphs have second-largest eigenvalue strictly less than 2d12 \sqrt{d - 1}.The work of J.H. is supported by the Institute for Advanced Study. A.K. gratefully acknowledges funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 715539_RandMat) and from the Swiss National Science Foundation through the SwissMAP grant. The work of H.-T.Y. is partially supported by NSF Grants DMS-1606305 and DMS-1855509, and a Simons Investigator award

    The effect of glutamine supplement on small intestinal morphology and xylose absorptive ability of weaned piglets

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    The purpose of this study is to demonstrate the effects of glutamine (Gln) supplement on small intestinal  morphology, xylose absorptive and growth performance of weaned piglets. Forty eight piglets weaned at 28 ± 2 days of age were randomly allotted to three treatment groups. A basal corn-soybean diet was formulated to contain 20.3% protein and 3450 kcal DE/kg diet. Glutamine was supplemented to the basal diet at 0% (control), 1% (Gln 1%) and 2% (Gln 2%). Pigs were fed experimental diets for three weeks. The results  showed that the villous height of the Gln groups tended higher than the control group in duodenum and jejunum (P < 0.1). Glutamine supplementation increased plasma net xylose absorptive concentration from 0.78 to 1.20 and 0.95 to 1.23 in Gln 1% and Gln 2% group, respectively, which were better than the control group (0.86 to 0.97) in day 7 to 14 after weaning. Growth performance was not significantly affected by Gln supplement;  however, average daily gain was approximately improved from 21 to 28% by Gln supplement compared to the control group during 21 days of experimental period. In summary, the results suggested that dietary  supplementation of Gln could be beneficial in small intestinal villous morphology and xylose absorptive  capacity, and could have a slight contribution to the average daily gain of weaned piglets.Key words: Glutamine, growth performance, intestinal morphology, weaned piglets

    虚拟参考站技术中对流层误差建模方法研究

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    Author name used in this publication: 黄丁发Author name used in this publication: 丁晓利, DING Xiao-liAuthor name used in this publication: 殷海涛Title in Traditional Chinese: 虛擬參考站技術中對流層誤差建模方法研究Journal title in Traditional Chinese: 測繪學報2006-2007 > Academic research: refereed > Publication in refereed journalVersion of RecordPublishe

    Bulk eigenvalue statistics for random regular graphs

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    We consider the uniform random dd-regular graph on NN vertices, with d[Nα,N2/3α]d \in [N^\alpha, N^{2/3-\alpha}] for arbitrary α>0\alpha > 0. We prove that in the bulk of the spectrum the local eigenvalue correlation functions and the distribution of the gaps between consecutive eigenvalues coincide with those of the Gaussian Orthogonal Ensemble.AK was partly supported by Swiss National Science Foundation grant 144662. HTY was partly supported by NSF grant DMS-1307444 and a Simons Investigator fellowship.his is the author accepted manuscript. It is currently under an indefinite embargo pending publication by the Institute of Mathematical Statistics

    Aerobic co-composting degradation of highly PCDD/F-contaminated field soil. A study of bacterial community

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    © 2018 Elsevier B.V. This study investigated bacterial communities during aerobic food waste co-composting degradation of highly PCDD/F-contaminated field soil. The total initial toxic equivalent quantity (TEQ) of the soil was 16,004 ng-TEQ kg −1 dry weight. After 42-day composting and bioactivity-enhanced monitored natural attenuation (MNA), the final compost product's TEQ reduced to 1916 ng-TEQ kg −1 dry weight (approximately 75% degradation) with a degradation rate of 136.33 ng-TEQ kg −1 day −1 . Variations in bacterial communities and PCDD/F degraders were identified by next-generation sequencing (NGS). Thermophilic conditions of the co-composting process resulted in fewer observed bacteria and PCDD/F concentrations. Numerous organic compound degraders were identified by NGS, supporting the conclusion that PCDD/Fs were degraded during food waste co-composting. Bacterial communities of the composting process were defined by four phyla (Proteobacteria, Actinobacteria, Bacteroidetes and Firmicutes). At the genus level, Bacillus (Firmicutes) emerged as the most dominant phylotype. Further studies on specific roles of these bacterial strains are needed, especially for the thermophiles which contributed to the high degradation rate of the co-co-composting treatment's first 14 days

    The Classical Harmonic Vibrations of the Atomic Centers of Mass with Micro Amplitudes and Low Frequencies Monitored by the Entanglement between the Two Two-level Atoms in a Single mode Cavity

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    We study the entanglement dynamics of the two two-level atoms coupling with a single-mode polarized cavity field after incorporating the atomic centers of mass classical harmonic vibrations with micro amplitudes and low frequencies. We propose a quantitative vibrant factor to modify the concurrence of the two atoms states. When the vibrant frequencies are very low, we obtain that: (i) the factor depends on the relative vibrant displacements and the initial phases rather than the absolute amplitudes, and reduces the concurrence to three orders of magnitude; (ii) the concurrence increases with the increase of the initial phases; (iii) the frequency of the harmonic vibration can be obtained by measuring the maximal value of the concurrence during a small time. These results indicate that even the extremely weak classical harmonic vibrations can be monitored by the entanglement of quantum states.Comment: 10 pages, 3 figure

    Transformation Pathways of Silica under High Pressure

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    Concurrent molecular dynamics simulations and ab initio calculations show that densification of silica under pressure follows a ubiquitous two-stage mechanism. First, anions form a close-packed sub-lattice, governed by the strong repulsion between them. Next, cations redistribute onto the interstices. In cristobalite silica, the first stage is manifest by the formation of a metastable phase, which was observed experimentally a decade ago, but never indexed due to ambiguous diffraction patterns. Our simulations conclusively reveal its structure and its role in the densification of silica.Comment: 14 pages, 4 figure
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