5,881 research outputs found

    A central limit theorem for the zeroes of the zeta function

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    On the assumption of the Riemann hypothesis, we generalize a central limit theorem of Fujii regarding the number of zeroes of Riemann's zeta function that lie in a mesoscopic interval. The result mirrors results of Soshnikov and others in random matrix theory. In an appendix we put forward some general theorems regarding our knowledge of the zeta zeroes in the mesoscopic regime.Comment: 22 pages. Incorporates referees suggestions. Contains minor corrections to published versio

    A statistical technique for determining rainfall over land employing Nimbus-6 ESMR measurements

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    An empirical method was employed to delineate synoptic scale rainfall over land utilizing Nimbus-6 ESMR measurements

    Traffic on complex networks: Towards understanding global statistical properties from microscopic density fluctuations

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    We study the microscopic time fluctuations of traffic load and the global statistical properties of a dense traffic of particles on scale-free cyclic graphs. For a wide range of driving rates R the traffic is stationary and the load time series exhibits antipersistence due to the regulatory role of the superstructure associated with two hub nodes in the network. We discuss how the superstructure affects the functioning of the network at high traffic density and at the jamming threshold. The degree of correlations systematically decreases with increasing traffic density and eventually disappears when approaching a jamming density Rc. Already before jamming we observe qualitative changes in the global network-load distributions and the particle queuing times. These changes are related to the occurrence of temporary crises in which the network-load increases dramatically, and then slowly falls back to a value characterizing free flow

    An assessment of health management and biosecurity procedures in marine fish farming in Spain

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    Marine fish farming in Spain has experienced problems of performance due to losses caused by infectious diseases. Biosecurity and health management are identified by the Food and Agriculture Organization (FAO) as current priorities for proper aquaculture governance. However, they both transcend the responsibility of farmers and require significant resources, concerted action and cooperation. This study presents the analysis of biosecurity practices on marine fish farms, through a questionnaire-based survey on biosecurity procedures and an analysis of health management practices for different stakeholders. The Strengths, Weaknesses, Opportunities, and Threats (SWOT) technique was implemented, which identified the important threats and weaknesses faced by the sector, such as the risk of direct disease transmission between farms, the high likelihood of importing diseases through juvenile shipments, the chronic lack of communication between stakeholders, and the deficient coordination of health strategies. Strengths included awareness of prevention measures and the availability of expertize of health experts at most levels. On the other hand, the availability of experts together with the need to adapt governance to the current production systems were seen as opportunities. Health management measures themselves were actually already found to be adapted to the type of production but they varied between companies (i.e. categorization and diagnosis of mortalities). Nevertheless, the quality of expertize along the value chain provided by private and public laboratories, research institutes, Health Protection Groups, companies and veterinarians was noteworthy. However, there was still a need for all stakeholders involved in marine fish health to improve diagnostics, provide epidemiological information, biosecurity and prevention measures, as well as to promote transparency for better health governance

    Rain observations in tropical storm Cora

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    Passive microwave observations were made in tropical storm Cora at 19.35 and 94GHz. These observations suggest that 94GHz is appropriate for mapping the extent of rain over either land or ocean backgrounds and that some rainfall intensity measurement is also possible

    Microwave radiometric observations near 19.35, 92 and 183 GHz of precipitation in tropical storm Cora

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    Observations of rain cells in the remains of a decaying tropical storm were made by Airborne Microwave Radiometers at 19.35,92 and three frequencies near 183 GHz. Extremely low brightness temperatures, as low as 140 K were noted in the 92 and 183 GHz observations. These can be accounted for by the ice often associated with raindrop formation. Further, 183 GHz observations can be interpreted in terms of the height of the ice. The brightness temperatures observed suggest the presence of precipitation sized ice as high as 9 km or more

    Analytical solution of the optimal laser control problem in two-level systems

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    The optimal control of two-level systems by time-dependent laser fields is studied using a variational theory. We obtain, for the first time, general analytical expressions for the optimal pulse shapes leading to global maximization or minimization of different physical quantities. We present solutions which reproduce and improve previous numerical results.Comment: 12 pages, 2 figure

    Spin Glass Phase Transition on Scale-Free Networks

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    We study the Ising spin glass model on scale-free networks generated by the static model using the replica method. Based on the replica-symmetric solution, we derive the phase diagram consisting of the paramagnetic (P), ferromagnetic (F), and spin glass (SG) phases as well as the Almeida-Thouless line as functions of the degree exponent λ\lambda, the mean degree KK, and the fraction of ferromagnetic interactions rr. To reflect the inhomogeneity of vertices, we modify the magnetization mm and the spin glass order parameter qq with vertex-weights. The transition temperature TcT_c (TgT_g) between the P-F (P-SG) phases and the critical behaviors of the order parameters are found analytically. When 2<λ<32 < \lambda < 3, TcT_c and TgT_g are infinite, and the system is in the F phase or the mixed phase for r>1/2r > 1/2, while it is in the SG phase at r=1/2r=1/2. mm and qq decay as power-laws with increasing temperature with different λ\lambda-dependent exponents. When λ>3\lambda > 3, the TcT_c and TgT_g are finite and related to the percolation threshold. The critical exponents associated with mm and qq depend on λ\lambda for 3<λ<53 < \lambda < 5 (3<λ<43 < \lambda < 4) at the P-F (P-SG) boundary.Comment: Phys. Rev. E in pres
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