The Beurling--Malliavin Multiplier Theorem and its analogs for the de Branges spaces

Let $\omega$ be a non-negative function on $\mathbb{R}$. We are looking for a non-zero $f$ from a given space of entire functions $X$ satisfying $$(a) \quad|f|\leq \omega\text{\quad or\quad(b)}\quad |f|\asymp\omega.$$ The classical Beurling--Malliavin Multiplier Theorem corresponds to $(a)$ and the classical Paley--Wiener space as $X$. We survey recent results for the case when $X$ is a de Branges space \he. Numerous answers mainly depend on the behaviour of the phase function of the generating function $E$.Comment: Survey, 25 page

Industrial high power electron accelerator for the energy 5-10 MeV

This paper presents the project of an industrial accelerator of the modular structure. Accelerating structure consists of the chain of coaxial ILU cavities, connected by the coupling cavities. Two designs of accelerating structure, differing by a version of coupling cavities, are presented. Main parameters of the accelerator are: energy of electrons 5-10 MeV, average beam power up to 150 kW, operating frequency 176 MHz, duty factor 10%

5 MeV 300 kW electron accelerator project

The paper presents a project of a high power linear accelerator for industrial applications. The accelerator has a modular structure and consists of the chain of accelerating cavities connected by the axis-located coupling cavities with coupling slots in the common walls. Main parameters of the accelerator are: operating frequency of 176 MHz, electron energy ofup to 5 MeV, average beam power of300 kW. The required RF pulse power can be supplied by the TH628 diacrode.Розглянуто проект промислового електронного прискорювача великої потужності. Прискорювач має модульну прискорюючу структуру, що складається з ланцюжка резонаторів, зв'язаних за допомогою аксиально-розміщених резонаторів зв'язку. Зв'язок здійснюється щілинами в загальних стінках. Основні параметри прискорювача: робоча частота 176 МГц, енергія електронів 5 МеВ, середня потужність пучка до 300 кВт. Необхідна високочастотна імпульсна потужність може бути отримана, наприклад, від діакрода TH628.Рассмотрен проект промышленного электронного ускорителя большой мощности. Ускоритель имеет модульную ускоряющую структуру, состоящую из цепочки ускоряющих резонаторов, связанных посредством аксиально-расположенных резонаторов связи. Связь осуществляется щелями в общих стенках. Основные параметры ускорителя: рабочая частота 176 МГц, энергия электронов 5 МэВ, средняя мощность пучка до 300 кВт. Необходимая высокочастотная импульсная мощность может быть получена, например, от диакрода TH628

The spectrum features of UHECRs below and surrounding GZK

The energy spectrum of UHECRs is discussed on the basis of the Yakutsk array database analysis. In the region E=0.1 to 30 EeV the showers are detected under trigger-500, while at energies above 30 EeV the whole acceptance area for trigger-1000 is used in order to utilize all the data available in the region of GZK cutoff.Comment: Invited talk at CRIS2004: GZK and surroundings, Catania, Italy, 31.05.04. To appear in Nucl. Phys. B Proc. Supp

Active Brownian Particles. From Individual to Collective Stochastic Dynamics

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of such self-propelled entities in the framework of statistical mechanics. Examples of such active units in complex physico-chemical and biological systems are chemically powered nano-rods, localized patterns in reaction-diffusion system, motile cells or macroscopic animals. Based on the description of individual motion of point-like active particles by stochastic differential equations, we discuss different velocity-dependent friction functions, the impact of various types of fluctuations and calculate characteristic observables such as stationary velocity distributions or diffusion coefficients. Finally, we consider not only the free and confined individual active dynamics but also different types of interaction between active particles. The resulting collective dynamical behavior of large assemblies and aggregates of active units is discussed and an overview over some recent results on spatiotemporal pattern formation in such systems is given.Comment: 161 pages, Review, Eur Phys J Special-Topics, accepte

Electron accelerator for energy up to 5.0 MeV and beam power up to 50 kW with Х-ray converter

The paper describes the industrial electron accelerator ILU-10 for electron energy up to 5 MeV and beam power up to 50 kW specially designed for use in industrial applications. The ILU-10 accelerator generates the vertical electron beam. The beam line turns the beam through an angle of 90° and transports the beam to the vertically posed Xray converter to generate the horizontal beam of X-rays.Приводиться опис прискорювача електронів ІЛУ-10 на енергію 5 МеВ потужністю 50 кВт, спеціально розробленого для таких комплексів. Для спрощення конструкції конвеєрної системи подачі оброблюваної продукції в зону опромінення використовується випускний пристрій з поворотом пучка на 90 градусів інаступною конвертацією електронного пучка в гамма-випромінювання на вертикально розташованій мішені.Приводится описание ускорителя электронов ИЛУ-10 на энергию 5 МэВ мощностью 50 кВт, специально разработанного для таких комплексов. Для упрощения конструкции конвейерной системы подачи обрабатываемой продукции в зону облучения используется выпускное устройство с поворотом пучка на 90 градусов и последующей конвертацией электронного пучка в гамма-излучение на вертикально расположенной мишени

Work status of 5 MeV 300 kW electron accelerator

Design work has been completed for the accelerating structure of high-power electron accelerator with 5 MeV, 300 kW, 176 MHz parameters. The structure is being produced in BINP workshop. The paper presents the design of the accelerating structure which consists of a chain of coaxial cavities, and block diagram of experimental workbench. Structure of the main accelerator blocks and their degree of fabrication are viewed.Закончены проектные работы по ускоряющей структуре мощного электронного ускорителя 5 МэВ, 300 кВт, 176 МГц и ведется ее изготовление в опытном производстве Института. Дается описание конструкции ускоряющей структуры, состоящей из цепочки связанных коаксиальных резонаторов. Приводится блок-схема испытательного стенда, рассматривается устройство отдельных узлов ускорителя и состояние их готовности.Закінчено проектні роботи із прискорювальної структури потужного електронного прискорювача 5 МеВ, 300 кВт, 176 МГц і ведеться її виготовлення в дослідному виробництві інституту. Дається опис конструкції прискорювальної структури, що складається з ланцюжка зв'язаних коаксіальних резонаторів. Приводиться блок-схема іспитового стенда, розглядається будова окремих вузлів прискорювача і стан їх готовності

The haemadsorption at african swine fever (review)

The capability of causing haemadsorption at African swine fever (ASF) virus (ASFV) reproduction in swine bone marrow cell cultures, leukocytes or continuous cells in the presence of swine erythrocytes is characteristic of the majority of the virus isolates (W.A. Malmquist, D. Hay, 1960). This trait is used for ASF diagnosis based on autohaemadsorption in porcine blood, the virus titration in cell culture, and selection of its attenuated variants in vitro (A.D. Sereda et al., 2014). The haemadsorption inhibition assay (HIA) in tandem with the bioassay using the disease-resistant pigs is applied for seroimmunotype-based classification of ASFV isolates (N.I. Mitin et al., 1985). The heterogeneity of an ASFV population for quantitative haemadsorption characteristic (like «dense», «moderate» or «loose») is a phenotypic trait of ASFV isolates, strains and/or variants (V. Makarov et al., 2016). Also, the proportion of the circumference of red blood cells as observed at their contact with infected macrophages serves as another quantifiable feature of haemadsorption. Some quantitative differences in HIA activity levels of swine blood sera are determined in the assays carried out using virulent reference variants and their attenuated derivatives, and the obtained results require some interpretation. The loss of ability to induce haemadsorption is not critical for ASFV reproduction and often accompanied by a decrease in the pathogen virulence levels. Hence, as a rule, attenuated ASFV variants are prepared through a selection by limiting dilution from populations of virulent isolates of the virus clones that are characterized by a reduced potential to induce haemadsorption (D.V. Kolbasov et al., 2014). In the course of the virus reproduction, haemadsorption precedes the exocytosis. Virions do not play a significant role in the mechanism of haemadsorption, nevertheless, their interaction with erythrocyte membranes promotes the virus dissemination throughout the swine organism and more effective introduction into the gut cells of ticks (L.K. Dixon et al., 2004). ASFV haemadsorbing potentiality is determined by highly glycosylated transmembrane protein CD2v (J.M. Rodríguez et al., 1993). Probably, nonhaemadsorbing avirulent isolates emerge as a result of some shift of the open reading frames for EP402R and EP153R encoding the CD2v and lectin-like proteins, respectively (D.A. Chapman et al., 2008). An assumption is made that the haemadsorption phenomenon is due to an interaction between carbohydrate residues of glycoproteins of ASFV oligosaccharides and lectin-like receptors of swine red blood cells

The haemadsorption at african swine fever (review)

The capability of causing haemadsorption at African swine fever (ASF) virus (ASFV) reproduction in swine bone marrow cell cultures, leukocytes or continuous cells in the presence of swine erythrocytes is characteristic of the majority of the virus isolates (W.A. Malmquist, D. Hay, 1960). This trait is used for ASF diagnosis based on autohaemadsorption in porcine blood, the virus titration in cell culture, and selection of its attenuated variants in vitro (A.D. Sereda et al., 2014). The haemadsorption inhibition assay (HIA) in tandem with the bioassay using the disease-resistant pigs is applied for seroimmunotype-based classification of ASFV isolates (N.I. Mitin et al., 1985). The heterogeneity of an ASFV population for quantitative haemadsorption characteristic (like «dense», «moderate» or «loose») is a phenotypic trait of ASFV isolates, strains and/or variants (V. Makarov et al., 2016). Also, the proportion of the circumference of red blood cells as observed at their contact with infected macrophages serves as another quantifiable feature of haemadsorption. Some quantitative differences in HIA activity levels of swine blood sera are determined in the assays carried out using virulent reference variants and their attenuated derivatives, and the obtained results require some interpretation. The loss of ability to induce haemadsorption is not critical for ASFV reproduction and often accompanied by a decrease in the pathogen virulence levels. Hence, as a rule, attenuated ASFV variants are prepared through a selection by limiting dilution from populations of virulent isolates of the virus clones that are characterized by a reduced potential to induce haemadsorption (D.V. Kolbasov et al., 2014). In the course of the virus reproduction, haemadsorption precedes the exocytosis. Virions do not play a significant role in the mechanism of haemadsorption, nevertheless, their interaction with erythrocyte membranes promotes the virus dissemination throughout the swine organism and more effective introduction into the gut cells of ticks (L.K. Dixon et al., 2004). ASFV haemadsorbing potentiality is determined by highly glycosylated transmembrane protein CD2v (J.M. Rodríguez et al., 1993). Probably, nonhaemadsorbing avirulent isolates emerge as a result of some shift of the open reading frames for EP402R and EP153R encoding the CD2v and lectin-like proteins, respectively (D.A. Chapman et al., 2008). An assumption is made that the haemadsorption phenomenon is due to an interaction between carbohydrate residues of glycoproteins of ASFV oligosaccharides and lectin-like receptors of swine red blood cells