PageRank in scale-free random graphs

We analyze the distribution of PageRank on a directed configuration model and show that as the size of the graph grows to infinity it can be closely approximated by the PageRank of the root node of an appropriately constructed tree. This tree approximation is in turn related to the solution of a linear stochastic fixed point equation that has been thoroughly studied in the recent literature

Vertical mineralization interval and forecast of the position of an ore-body in the Alšar Sb-As-Tl deposit, FYR Macedonia

Establishing a vertical interval of mineralization is a complex geological task based on the knowledge of many parameters and quantities that describe the genesis of an ore deposit. It is particularly important to know the time and the primary depth of the formation of an ore-body and its recent position. The establishment of the vertical mineralization interval is considered in this work on the example of the Alšar Sb-As-Tl mineral deposit. The research methods used were geomorphological analysis (the principal exploration method), measurement of cosmogenic radioactive (10Be, 26Al) and stable (3He, 21Ne) nuclides to determine the erosion velocity (control method) and comparison of the obtained results with the geological exploration data from operative mine workings. A detailed geological study of the formation of the Alšar deposit preceded the research. The research data are the following: depth interval of the ore-body is 10-50 m below the present ground surface; average level of erosion in the Alšar deposit area is 20-80 m over a period of 106 years (Ma), or about 100-400 m from the beginning of the volcanic activity to the present day (≈5 Ma); thickness of the eroded rock complex over the ore bodies from the beginning of the hydrothermal alteration and the formation of ore bodies (4.31 Ma) to the present is ≥150 m (Crven dol), or ≥230 m (central deposit); the palaeointerval of the formation of the ore-body is 230 m (200-430 m); and, finally, the potentially mineralized interval is deep, from 10 m to 280 m below the surface

Book Reviews

Until recently, concurrent programming required, instead of multiple threads, multiple processes, each with a single thread of execution, running concurrently on a multitasking operating system. Multithreading is a way to design and implement parallel application programs. The major difference between a thread and a process is in common address space. Threads have the same address space which makes communication and data sharing among threads efficient. The goal of multi threaded programming concept is to achieve a greater speed from multiprocessor computers

Cytogenetics of Vitis IV: Backcross derivatives of V. vinifera L. x V. rotundifolia MICHX.

Diploid ibackcross :progeny of (V. vinifera L. x V. rotundifolia MICHX.) x V. vinifera L. were studied in the present investigation.In the diploid backcross (BC1) progeny a range from completely sterile seedlings to others as fertile as standard V. vinifera varietes was obtained.Average bivalent formation at MI in the diploid BC1 progeny varied from 7.9 to 16.1. There was a relation in BC1 hyibrids between chromosomal pairing at MI and fertility of the seedlings.BC1 seedlings ,segregated for some V. rotundifolia characters (fruit quality, flavor, type of bark, tendrils, diaphragm, size of flower clusters, shape of the leaves, etc.). Wood type was the only characteristic of V. rotundifolia. which was found in all BC1 seedlings.Crossability pattern of the BC1 progeny to V. vinifera and V. rotundifolia was the same as that of F1 VR hybrids; namely, only as a female parent to V. rotundifolia and female or male to V. vinifera

Cytogenetics of Vitis V. Allotetraploids of V. vinifera L. x V. rotundifolia MICHX.

The allotetraploid hybrids obtained by colchicine treatment of the completely sterile F1 diploid hybrids revealed very low and erratic fertility. A great variation in the fertility between seedlings was the rule.There is no apparent relation between chromosome pairing at MI and fertility of the allotetraploid vines. Average bivalent formation in the allotetraploids varied between 25.0 and 31.1 per cell compared to the expected 39 if complete pairing occurred.In all of the allotetraploid seedlings dominance of V. rotundifolia morphological characters was evident, although several exceptions were noted.Autotetraploid clones of the two species could be hybridized only by using V. vinifera as a female and V. rotundifolia as a male parent.Crossing behaviour of the allotetraploid F1 hybrids is identical to diploid VR hybrids. Hybrids are crossable among themselves; they can be crossed successfully only as female parents to V. rotundifolia and as female or male parent to V. vinifera.A chromosomal ratio hypothesis is proposed to explain the unilateral crossability pattern between the two species and their hybrid derivaties. The alternative breeding procedures are given for testing this hypothesis

Određivanje boje zuba kod pasa

Tooth color depends on hard tooth tissue structures, above all dentine, and is genetically determinated. Nutritive habits and nutrition patterns during the lifetime can influence the change of crystal structure of enamel and dentine and consequently tooth color. The purpose of this research is to determine the color of dog teeth and to compare it to human tooth color. Standardized color key was used, thus overcoming all three color parameters: main color - hue, satiate - chroma and brightness - value. The obtained results show that both colors of dog and human teeth belong to the same spectrum. Dog teeth more frequently have a darker color which can be connected to the fact that their teeth are more worn and consequently a more intensive diffusion process is undergoing due to the changes in crystal structure because of the newly formed bondings of organic molecules into the crystal structure of the enamel.Boja zuba zavisi od sastava tvrdih zubnih tkiva, pre svega dentina i genetski je određena. Obrazac ishrane i nutritivne navike mogu u toku života putem difuzije uticati na promenu kristalne strukture gleđi i dentina a posledično i na boju zuba. Cilj rada je utvrditi boju zuba pasa i uporediti je sa bojom zuba ljudi. Korišćen je standardizovan ključ za boje kojim je moguće obuhvatiti određivanje sva tri parametra boje: osnovnu boju - hue, zasićenost - chroma i svetlinu - value. Dobijeni rezultati pokazuju da boja zuba i pasa i ljudi u najvećem broju slučajeva pripada istom spektru. Kod pasa su zastupljenije tamnije nijanse, što se dovodi u vezu sa većom abradiranošću površina njihovih zuba i intenzivnijom difuzijom i promenama dimenzija kristalne rešetke zbog vezivanja organskih delova molekula u strukturi kristala gleđi

Heavy tailed solutions of multivariate smoothing transforms

Let $N > 1$ be a fixed integer and $(C_1,..., C_N,Q)$ a random element of $GL(d, \R)^N x \R^d$. We consider solutions of multivariate smoothing transforms, i.e. random variables $R$ satisfying R \eqdist \sum_{i=1}^N C_i R_i +Q where \eqdist denotes equality in distribution, and $R, R_1,..., R_N$ are independent identically distributed $\R^d$-valued random variables, and independent of $(C_1,..., C_N, Q)$. We briefly review conditions for the existence of solutions, and then study their asymptotic behaviour. We show that under natural conditions, these solutions exhibit heavy tails. Our results also cover the case of complex valued weights $(C_1,..., C_N)$.Comment: 35 page