Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator

We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x)=(d/dx)f(x)+((2α+1)/x)((f(x)-f(-x))/2), α>-1/2. We study some embeddings into the Morrey space (D-Morrey space) Lp,λ,α, 0≤λ<2α+2 and modified Morrey space (modified D-Morrey space) L̃p,λ,α associated with the Dunkl operator on ℝ. As applications we get boundedness of the fractional maximal operator Mβ, 0≤β<2α+2, associated with the Dunkl operator (fractional D-maximal operator) from the spaces Lp,λ,α to L∞(ℝ) for p=(2α+2-λ)/β and from the spaces L̃p,λ,α(ℝ) to L∞(ℝ) for (2α+2-λ)/β≤p≤(2α+2)/β

Study of the Anthropogenic Impact on the Change of Geoecological Conditions of the Khojahasan Lake, Azerbaijan

The  paper  considers  the  results  of  geoecological  and  geophysical  studies  conducted   in   the   Khojahasan Lake basin in the Western part of Baku. The main purpose of the work was to study the anthropogenic impact on geoecological conditions of the lake. To assess the development of exogenous geological processes in the coastal zone of the lake and their impact on the environment, geophysical studies were carried out by the vertical electric sounding (VES). From 1990 to 2014, the physical and chemical characteristics of water and sediments were studied in a representative section of the lake. Metal concentrations, including such toxic elements as Cu, Zn, Cd, Sr, Ba, Pb, Cr, and Ni, were determined in the trace element composition of bottom sediments. It was revealed that since the mid-XIX century and especially since the second half of the XX century the high rate of population growth and urbanization in the territory of the Absheron Peninsula (in the Republic of Azerbaijan the name Apsheron was changed to Absheron) led to intensive use of natural resources and increased anthropogenic load on the environment. Technogenesis actively violates the natural cycle of matter and energy in lakes (limnogenesis), along with other natu- ral media, as lake basins are located in lowlands and often accumulate industrial, municipal, agricultural, and other discharges. Pollutants accumulated in the lake basin affect hydrobiochemical conditions, transform quantitative and qualitative indicators of the aquatic environment and bottom sediments. Factors affecting the lake landscape are ge- netically different, unequal in the degree and nature of the impact, as well as induration

Модель и метод определения оптимальной структуры системы обеспечения безопасности для критической информационной инфраструктуры

The article investigates the problem of information security of critical information infrastructures. The features of critical objects from the point of view of collecting, processing, storing and transmitting information are analysed. The set of functions performed by the information security system in critical infrastructures and the dependencies between these functions are studied. A model of the security system is proposed and the require ments for this model are defined. At the same time, the set of relations between objects and threats is represented in the form of an object-threat relationship graph, in which an edge connecting the j-th object with the i-th threat exists only when the i-th threat can directly affect the j-th object. To protect objects of critical information infrastructures from possible threats, a set of necessary methods and tools has been introduced into the model of the security system, which converts a two-sided graph into a three-sided one, such as “object – method – threat”. Further in the article, the problem of determining the optimal structure of the security system for critical information infrastructure objects is considered. It is assumed here that each threat can affect several objects, and that any object can be affected by more than one threat. The solution of this problem makes it possible to minimize the material costs to implement the methods and tools for protection and minimize damage from a security breach. Исследована проблема информационной безопасности критических информационных инфраструктур. Проанализированы особенности критически важных объектов с точки зрения сбора, обработки, хранения и передачи информации. Изучены совокупность функций, выполняемых системой обеспечения безопасности информации в критических инфраструктурах, и зависимости между этими функциями. Предложена модель системы обеспечения безопасности и определены требования, предъявляемые к ней. Множество отношений между объектами и угрозами представлено в виде графа отношений «объект – угроза», в котором ребро, связывающее j-й объект с i-й угрозой, существует только тогда, когда i-я угроза может воздействовать напрямую на j-й объект. Для защиты объектов критических информационных инфраструктур от возможных угроз в модель системы обеспечения безопасности введено множество необходимых методов и средств, преобразующее двухдольный граф в трехдольный, типа «объект – метод – угроза». Рассмотрена задача определения оптимальной структуры системы обеспечения безопасности объектов критической информационной инфраструктуры, решение которой позволит свести к минимуму материальные затраты на реализацию средств защиты и ущерб от нарушения безопасности.

Electrical Properties of the Layered Single Crystals TlGaSe2 and TlInS2

In the doped crystals TlGaSe2 and TlInS2, using method of temperature dependencies of DC resistance in the temperature range of 100 – 300 K, the phase transitions at the temperatures of 240 – 245 K and 105 – 120 K were observed. The AC conductance measurements at room temperature indicated the hopping mechanism of carrier transport in the studied samples

ISSR Analysis of Variability of Cultivated Form and Varieties of Pomegranate (Punica granatum L.) from Azerbaijan

The article presents the results of a study of genetic polymorphism for the first time carried out on pomegranate varieties and forms of Azerbaijan origin using molecular markers. In total, 102 PCR fragments were identified, of which 80 were polymorphic. The high level of polymorphism (75.5%) and the rich genetic diversity were identified among the studied pomegranate collection. As a result of data analysis and on the basis of the values of the basic parameters (PIC, EMR, MI, RP, MRP) determining informativeness of markers, all 14 ISSR primers were suitable for genotyping pomegranate accessions. The most effective markers (UBC808, UBC811, UBC834, and UBC840) were identified among the set of primers tested. A dendrogram was constructed on the basis of the data obtained, which made it possible to group genotypes into 16 major clusters. The genetic similarity index ranged from 0.032 to 0.94. The study of the genetic relationship of different pomegranate varieties confirms the effectiveness of the ISSR method, which makes it possible to determine the level of genetic diversity, as well as to establish the relationship among the studied pomegranate accessions

Terahertz response of patterned epitaxial graphene

We study the interaction between polarized terahertz (THz) radiation and micro-structured large-area graphene in transmission geometry. In order to efficiently couple the radiation into the two-dimensional material, a lateral periodic patterning of a closed graphene sheet by intercalation doping into stripes is chosen. We observe unequal transmittance of the radiation polarized parallel and perpendicular to the stripes. The relative contrast, partly enhanced by Fabry-Perot oscillations reaches 20 %. The effect even increases up to 50 % when removing graphene stripes in analogy to a wire grid polarizer. The polarization dependence is analyzed in a large frequency range from < 80 GHz to 3 THz, including the plasmon-polariton resonance. The results are in excellent agreement with theoretical calculations based on the electronic energy spectrum of graphene and the electrodynamics of the patterned structureThe authors thank J. Jobst for fruitful discussions. The research was performed in the framework of the Sonderforschungsbereich 953 "Synthetic carbon allotropes", funded by Deutsche Forschungsgemeinschaft. We acknowledge support from the EC under Graphene Flagship (contract no. CNECT-ICT-604391)

Coding SNPs analysis highlights genetic relationships and evolution pattern in eggplant complexes

[EN] Brinjal (Solanum melongena), scarlet (S. aethiopicum) and gboma (S. macrocarpon) eggplants are three Old World domesticates. The genomic DNA of a collection of accessions belonging to the three cultivated species, along with a representation of various wild relatives, was characterized for the presence of single nucleotide polymorphisms (SNPs) using a genotype-by-sequencing approach. A total of 210 million useful reads were produced and were successfully aligned to the reference eggplant genome sequence. Out of the 75,399 polymorphic sites identified among the 76 entries in study, 12,859 were associated with coding sequence. A genetic relationships analysis, supported by the output of the FastSTRUCTURE software, identified four major sub-groups as present in the germplasm panel. The first of these clustered S. aethiopicum with its wild ancestor S. anguivi; the second, S. melongena, its wild progenitor S. insanum, and its relatives S. incanum, S. lichtensteinii and S. linneanum; the third, S. macrocarpon and its wild ancestor S. dasyphyllum; and the fourth, the New World species S. sisymbriifolium, S. torvum and S. elaeagnifolium. By applying a hierarchical FastSTRUCTURE analysis on partitioned data, it was also possible to resolve the ambiguous membership of the accessions of S. campylacanthum, S. violaceum, S. lidii, S. vespertilio and S. tomentsum, as well as to genetically differentiate the three species of New World Origin. A principal coordinates analysis performed both on the entire germplasm panel and also separately on the entries belonging to sub-groups revealed a clear separation among species, although not between each of the domesticates and their respective wild ancestors. There was no clear differentiation between either distinct cultivar groups or different geographical provenance. Adopting various approaches to analyze SNP variation provided support for interpretation of results. The genotyping-by-sequencing approach showed to be highly efficient for both quantifying genetic diversity and establishing genetic relationships among and within cultivated eggplants and their wild relatives. The relevance of these results to the evolution of eggplants, as well as to their genetic improvement, is discussed.This work has been funded in part by European Unions Horizon 2020 Research and Innovation Programme under grant agreement No 677379 (G2P-SOL project: Linking genetic resources, genomes and phenotypes of Solanaceous crops) and by Spanish Ministerio de Economia, Industria y Competitividad and Fondo Europeo de Desarrollo Regional (grant AGL2015-64755-R from MINECO/FEDER). Funding has also been received from the initiative "Adapting Agriculture to Climate Change: Collecting, Protecting and Preparing Crop Wild Relatives", which is supported by the Government of Norway. This last project is managed by the Global Crop Diversity Trust with the Millennium Seed Bank of the Royal Botanic Gardens, Kew and implemented in partnership with national and international gene banks and plant breeding institutes around the world. For further information see the project website:http://www.cwrdiversity.org/. Pietro Gramazio is grateful to Universitat Politecnica de Valencia for a pre-doctoral (Programa FPI de la UPV-Subprograma 1/2013 call) contract. Mariola Plazas is grateful to Spanish Ministerio de Economia, Industria y Competitividad for a post-doctoral grant within the Santiago Grisolia Programme (FCJI-2015-24835). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.Acquadro, A.; Barchi, L.; Gramazio, P.; Portis, E.; Vilanova Navarro, S.; Comino, C.; Plazas Ávila, MDLO.... (2017). Coding SNPs analysis highlights genetic relationships and evolution pattern in eggplant complexes. PLoS ONE. 12(7). https://doi.org/10.1371/journal.pone.0180774Se018077412

An eQTL Analysis of Partial Resistance to Puccinia hordei in Barley

Background - Genetic resistance to barley leaf rust caused by Puccinia hordei involves both R genes and quantitative trait loci. The R genes provide higher but less durable resistance than the quantitative trait loci. Consequently, exploring quantitative or partial resistance has become a favorable alternative for controlling disease. Four quantitative trait loci for partial resistance to leaf rust have been identified in the doubled haploid Steptoe (St)/Morex (Mx) mapping population. Further investigations are required to study the molecular mechanisms underpinning partial resistance and ultimately identify the causal genes.Methodology/Principal Findings - We explored partial resistance to barley leaf rust using a genetical genomics approach. We recorded RNA transcript abundance corresponding to each probe on a 15K Agilent custom barley microarray in seedlings from St and Mx and 144 doubled haploid lines of the St/Mx population. A total of 1154 and 1037 genes were, respectively, identified as being P. hordei-responsive among the St and Mx and differentially expressed between P. hordei-infected St and Mx. Normalized ratios from 72 distant-pair hybridisations were used to map the genetic determinants of variation in transcript abundance by expression quantitative trait locus (eQTL) mapping generating 15685 eQTL from 9557 genes. Correlation analysis identified 128 genes that were correlated with resistance, of which 89 had eQTL co-locating with the phenotypic quantitative trait loci (pQTL). Transcript abundance in the parents and conservation of synteny with rice allowed us to prioritise six genes as candidates for Rphq11, the pQTL of largest effect, and highlight one, a phospholipid hydroperoxide glutathione peroxidase (HvPHGPx) for detailed analysis.Conclusions/Significance - The eQTL approach yielded information that led to the identification of strong candidate genes underlying pQTL for resistance to leaf rust in barley and on the general pathogen response pathway. The dataset will facilitate a systems appraisal of this host-pathogen interaction and, potentially, for other traits measured in this populatio