Application of Market Models to Network Equilibrium Problems

We present a general two-side market model with divisible commodities and price functions of participants. A general existence result on unbounded sets is obtained from its variational inequality re-formulation. We describe an extension of the network flow equilibrium problem with elastic demands and a new equilibrium type model for resource allocation problems in wireless communication networks, which appear to be particular cases of the general market model. This enables us to obtain new existence results for these models as some adjustments of that for the market model. Under certain additional conditions the general market model can be reduced to a decomposable optimization problem where the goal function is the sum of two functions and one of them is convex separable, whereas the feasible set is the corresponding Cartesian product. We discuss some versions of the partial linearization method, which can be applied to these network equilibrium problems.Comment: 18 pages, 3 table

НАПРЯМИ УДОСКОНАЛЕННЯ ДІЯЛЬНОСТІ ФОНДУ ГАРАНТУВАННЯ ВКЛАДІВ ФІЗИЧНИХ ОСІБ: ЕКОНОМІКО-ПРАВОВИЙ АСПЕКТ

The features of the activities of the Deposit Guarantee Fund within the system of guaranteeing deposits of individuals have been studied in the article. The powers of the Deposit Guarantee Fund have been analyzed. It has been determined that its executive directorate exercises powers in the sphere of providing the Fund’s activity, in respect of sources of the formation of the Fund’s assets, in the sphere of deposit repayment, in the sphere of regulatory activity, in the field of withdrawing insolvent banks from the market. It has been offered to divide the powers of the administrative council of the Deposit Guarantee Fund into functional, conciliatory and regulatory ones. The problems of forming the resource base of the Deposit Guarantee Fund have been clarified. It has been emphasized that the expansion of the sources for the formation of the Fund’s assets is directly related to the range of participants of the system of individuals’ deposits guaranteeing. In order to increase the funds of the Deposit Guarantee Fund, it has been offered to include non-bank financial institutions into the Fund’s participants. Some aspects of control over the activity of the Deposit Guarantee Fund have been studied. It has been emphasized that the Fund’s annual report needs to be improved. It has been offered to consolidate the form of the annual report of the Fund in the legislation and to define the following its sections: main indicators of the Fund’s activity in the reporting period, internal management of the Fund, legislation and regulatory activity, public information, analysis of the banking sector, regulatory activity of the Fund, financial management, withdrawal of insolvent banks from the market, protection of depositors’ interests, the Fund’s financial reports. The directions for improving the Fund’s activity have been formulated, namely revision of the Fund’s powers in terms of exercising control over troubled banks, expanding the range of subjects and objects of the deposit guaranteeing system, improving control over the Fund’s activities, introducing new mechanisms for repayment to depositors of insolvent banks, expanding the list of sources for the formation of the Fund’s assets.Исследованы особенности деятельности Фонда гарантирования вкладов физических лиц в системе гарантирования вкладов физических лиц. Проанализированы полномочия Фонда гарантирования вкладов физических лиц. Выяснены проблемы формирования ресурсной базы Фонда гарантирования вкладов физических лиц. Указано, что расширение источников формирования средств Фонда гарантирования вкладов физических лиц напрямую связано с кругом участников системы гарантирования вкладов физических лиц. Рассмотрены отдельные аспекты контроля за деятельностью Фонда гарантирования вкладов физических лиц. Сформулированы направления совершенствования деятельности Фонда гарантирования вкладов физических лиц.Досліджено особливості діяльності Фонду гарантування вкладів фізичних осіб у системі гарантування вкладів фізичних осіб. Проаналізовано повноваження Фонду гарантування вкладів фізичних осіб. Визначено, що його виконавча дирекція здійснює повноваження у сфері забезпечення діяльності Фонду, щодо джерел формування коштів Фонду, у сфері забезпечення відшкодувань за вкладами, у сфері регуляторної діяльності, у сфері виведення неплатоспроможних банків з ринку. Запропоновано повноваження адміністративної ради Фонду гарантування вкладів фізичних осіб поділити на функціональні, погоджувальні і розпорядчі. З’ясовано проблеми формування ресурсної бази Фонду гарантування вкладів фізичних осіб. Наголошено, що розширення джерел формування коштів Фонду безпосередньо пов’язано з колом учасників системи гарантування вкладів фізичних осіб. З метою збільшення коштів Фонду гарантування вкладів фізичних осіб запропоновано включити до складу учасників Фонду небанківські фінансові установи. Розглянуто окремі аспекти контролю за діяльністю Фонду гарантування вкладів фізичних осіб. Наголошено, що річний звіт Фонду потребує вдосконалення. Запропоновано закріпити форму річного звіту Фонду в законодавстві та визначити такі його розділи: основні показники діяльності Фонду у звітному періоді, внутрішнє управління Фонду, законодавство та регуляторна діяльність, інформування громадськості, аналіз банківського сектору, регулятивна діяльність Фонду, управління фінансами, виведення неплатоспроможних банків з ринку, захист інтересів вкладників, фінансова звітність Фонду. Сформульовано напрямами удосконалення діяльності Фонду, а саме: перегляд повноважень Фонду в частині здійснення контролю за проблемними банками, розширення кола суб’єктів та об’єктів системи гарантування вкладів, удосконалення контролю за діяльністю Фонду, запровадження нових механізмів здійснення виплат відшкодування вкладникам неплатоспроможних банків, розширення переліку джерел формування коштів Фонду

The barrel DIRC of PANDA

Cooled antiproton beams of unprecedented intensities in the momentum range of 1.5-15 GeV/c will be used for the PANDA experiment at FAIR to perform high precision experiments in the charmed quark sector. The PANDA detector will investigate antiproton annihilations with beams in the momentum range of 1.5 GeV/c to 15 GeV/c on a fixed target. An almost 4π acceptance double spectrometer is divided in a forward spectrometer and a target spectrometer. The charged particle identification in the latter is performed by ring imaging Cherenkov counters employing the DIRC principle

The barrel DIRC of PANDA

Cooled antiproton beams of unprecedented intensities in the momentum range of 1.5-15 GeV/c will be used for the PANDA experiment at FAIR to perform high precision experiments in the charmed quark sector. The PANDA detector will investigate antiproton annihilations with beams in the momentum range of 1.5 GeV/c to 15 GeV/c on a fixed target. An almost 4π acceptance double spectrometer is divided in a forward spectrometer and a target spectrometer. The charged particle identification in the latter is performed by ring imaging Cherenkov counters employing the DIRC principle

Electronic States and Light Absorption in a Cylindrical Quantum Dot Having Thin Falciform Cross Section

Energy level structure and direct light absorption in a cylindrical quantum dot (CQD), having thin falciform cross section, are studied within the framework of the adiabatic approximation. An analytical expression for the energy spectrum of the particle is obtained. For the one-dimensional “fast” subsystem, an oscillatory dependence of the wave function amplitude on the cross section parameters is revealed. For treatment of the “slow” subsystem, parabolic and modified Pöschl-Teller effective potentials are used. It is shown that the low-energy levels of the spectrum are equidistant. In the strong quantization regime, the absorption coefficient and edge frequencies are calculated. Selection rules for the corresponding quantum transitions are obtained

Performance of the most recent Microchannel-Plate PMTs for the PANDA DIRC detectors at FAIR

In the PANDA experiment at the FAIR facility at GSI two DIRC (Detection of Internally Reflected Cherenkov light) detectors will be used for $\pi$/K separation up to 4 GeV/c. Due to their location in a high magnetic field and other stringent requirements like high detection efficiency, low dark count rate, radiation hardness, long lifetime and good timing, MCP-PMTs (microchannel-plate photomultiplier) were the best choice of photon sensors for the DIRC detectors in the PANDA experiment. This paper will present the performance of some of the latest 2$\times$2 inch$^2$ MCP-PMTs from Photek and Photonis, including the first mass production tubes for the PANDA Barrel DIRC from Photonis. Performance parameters like the collection efficiency (CE), quantum efficiency (QE), and gain homogeneity were determined. The effect of magnetic fields on some properties like gain and charge cloud width was investigated as well. Apart from that the spatial distribution of many internal parameters like time resolution, dark count rate, afterpulse ratio, charge sharing crosstalk and recoil electrons were measured simultaneously with a multihit capable DAQ system. The latest generation of Photonis MCP-PMTs shows an unexpected "escalation" effect where the MCP-PMT itself produces photons.Comment: Proceedings contribution to RICH2022 (11th International Workshop on Ring Imaging Cherenkov Detectors

Lifetime and performance of the very latest microchannel-plate photomultipliers

The PANDA experiment at the FAIR facility at GSI will study hadron physics using a high intensity antiproton beam of up to 15 GeV/c momentum to perform high precision spectroscopy. Two DIRC detectors with their image planes residing in an $\sim$1 T magnetic field will be used in the experiment. The only suitable photon detectors for both DIRCs were identified to be Microchannel-Plate Photomultipliers (MCP-PMTs). Since the aging problems of MCP-PMTs were solved recently by coating the MCPs with the so-called ALD-technique (atomic layer deposition) we are investigating devices which are significantly improved with respect to other parameters, as, e.g., the collection efficiency (CE) and the quantum efficiency (QE). The latest generation of MCP-PMTs can reach a detective quantum efficiency DQE = QE - CE of 30%. This paper will present the performance of the most advanced 53 $\times$ 53 mm$^2$ ALD-coated MCP-PMTs from Photonis (8 $\times$ 8 and 3 $\times$ 100 anodes) and Photek (8 $\times$ 8 anodes), also inside the magnetic field. With a picosecond laser and a multi-hit capable DAQ system which allows read out up to 300 pixels simultaneously, parameters like darkcount rate, afterpulse probability and time resolution can be investigated as a function of incident photon position.Comment: Proceedings contribution to NDIP20 (9th Conference on New Developments in Photodetection

Feasibility studies of time-like proton electromagnetic form factors at PANDA at FAIR

Simulation results for future measurements of electromagnetic proton form factors at \PANDA (FAIR) within the PandaRoot software framework are reported. The statistical precision with which the proton form factors can be determined is estimated. The signal channel $\bar p p \to e^+ e^-$ is studied on the basis of two different but consistent procedures. The suppression of the main background channel, $\textit{i.e.}$ $\bar p p \to \pi^+ \pi^-$, is studied. Furthermore, the background versus signal efficiency, statistical and systematical uncertainties on the extracted proton form factors are evaluated using two different procedures. The results are consistent with those of a previous simulation study using an older, simplified framework. However, a slightly better precision is achieved in the PandaRoot study in a large range of momentum transfer, assuming the nominal beam conditions and detector performance

Charge separation relative to the reaction plane in Pb-Pb collisions at sNN=2.76\sqrt{s_{\rm NN}}= 2.76 TeV

Measurements of charge dependent azimuthal correlations with the ALICE detector at the LHC are reported for Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$ TeV. Two- and three-particle charge-dependent azimuthal correlations in the pseudo-rapidity range $|\eta| < 0.8$ are presented as a function of the collision centrality, particle separation in pseudo-rapidity, and transverse momentum. A clear signal compatible with a charge-dependent separation relative to the reaction plane is observed, which shows little or no collision energy dependence when compared to measurements at RHIC energies. This provides a new insight for understanding the nature of the charge dependent azimuthal correlations observed at RHIC and LHC energies.Comment: 12 pages, 3 captioned figures, authors from page 2 to 6, published version, figures at http://aliceinfo.cern.ch/ArtSubmission/node/286

Feasibility studies of the time-like proton electromagnetic form factor measurements with PANDA at FAIR

The possibility of measuring the proton electromagnetic form factors in the time-like region at FAIR with the \PANDA detector is discussed. Detailed simulations on signal efficiency for the annihilation of $\bar p +p$ into a lepton pair as well as for the most important background channels have been performed. It is shown that precision measurements of the differential cross section of the reaction $\bar p +p \to e^++ e^-$ can be obtained in a wide angular and kinematical range. The individual determination of the moduli of the electric and magnetic proton form factors will be possible up to a value of momentum transfer squared of $q^2\simeq 14$ (GeV/c)$^2$. The total $\bar p +p\to e^++e^-$ cross section will be measured up to $q^2\simeq 28$ (GeV/c)$^2$. The results obtained from simulated events are compared to the existing data. Sensitivity to the two photons exchange mechanism is also investigated.Comment: 12 pages, 4 tables, 8 figures Revised, added details on simulations, 4 tables, 9 figure