Determinantal probability measures

Determinantal point processes have arisen in diverse settings in recent years and have been investigated intensively. We study basic combinatorial and probabilistic aspects in the discrete case. Our main results concern relationships with matroids, stochastic domination, negative association, completeness for infinite matroids, tail triviality, and a method for extension of results from orthogonal projections to positive contractions. We also present several new avenues for further investigation, involving Hilbert spaces, combinatorics, homology, and group representations, among other areas.Comment: 50 pp; added reference to revision. Revised introduction and made other small change

Explorations in the Classification of Vertices as Good or Bad.

For a graph G, a set S is a dominating set if every vertex in V-S has a neighbor in S. A vertex contained in some minimum dominating set is called good; otherwise it is bad. A graph G has g(G) good vertices and b(G) bad vertices. The relationship between the order of G and g(G) assigns the graph to one of four classes. Our results include a method of classifying caterpillars. Further, we develop realizability conditions for a graph G given a triple of nonnegative integers representing the domination number of γ(G), g(G), and b(G), respectively, and provide constructions of graphs meeting those conditions. We define the goodness index of a vertex v in a graph G as the ratio of distinct γ(G)-sets containing v to the total number of γ(G)-sets, and provide formulas that yield the goodness index of any vertex in a given path

Some Properties on Strong Roman Domination in Graphs

A Strong Roman dominating function (SRDF) is a function satisfying the condition that every vertex for which is adjacent to at least one vertex for which and every vertex for which is adjacent to at least one vertex for which . The weight of an SRDF is the value . The minimum weight of an SRDF on a graph is called the Strong Roman domination numberof . In this paper, we attempt to verify some properties on SRDF and moreover we present Strong Roman domination number for some special classes of graphs. Also we show that for a tree with vertices, leaves and support vertices, we have and we characterize all trees achieving this bound

Divorced, separated and widowed female workers in rural Mozambique

Compared to other rural women, a high proportion of female wageworkers in rural Mozambique are divorced, separated or widowed. The paper explores the factors underlying this difference and establishes a significant relationship between labor market participation and female divorce or widowhood. The association is likely to work in both directions. Moreover, contrastive exploration suggests that divorced/separated women differ from non-divorced women in many other important respects: They tend to get access to better jobs; also, divorced and separated mothers are remarkably good at investing in their daughters’ education compared to other mothers and to male respondents. The paper concludes by stressing the limits of regression techniques in teasing out causation and the interactions between variables, and by suggesting that policies to increase female access to decently remunerated wage employment could make a substantial difference to the welfare of very poor rural women in Africa and their children

Characteristics of Paleotsunami Sediments, a Case Study in Cilacap and Pangandaran Coastal Areas, Jawa, Indonesia

DOI: 10.17014/ijog.v8i4.166A paleotsunami study having been conducted in 2011 took two study cases in Cilacap and Pangandaran coastal areas. These two regions have been devastated by tsunami in the past and had the most severe damaged on 17 July 2006. Trenching, beach profiling, and sediment sampling had been carried out, and further analysis at the laboratory had been done, such as grain size and fossil analyses and dating. In Cilacap, an iron sand layer was found as a key bed suspected as a paleotsunami deposits due to the content of anthropogenic fragments. In Pangandaran, two layers of tsunami deposit candidates were found having thickness of 5 - 6 cm at the top as a 2006 tsunami deposit candidate, and 5 - 10 cm at the bottom as a paleotsunami deposit candidate. Both grain size and fossil analysis results could explain that Pangandaran\u27s sediments are tsunami deposits while Cilacap\u27s ones are assumed to be deposited by another process rather than a tsunami

Spartan Daily, March 3, 1942

Volume 30, Issue 96https://scholarworks.sjsu.edu/spartandaily/3416/thumbnail.jp

Measuring The Nature of East Asia’s Automobile Production Networks

The aim of this study is to explore the nature of East Asia’s automobile production networks by means of social-network methods. In this paper, we have also developed a domination degree index (DDI) and domination intensity index (DII) to measure the dominating power of each East Asian country in the automobile networks. The results suggested that the networks of East Asia’s automobile industry are expanding over time both in terms of the number of links in the network as well as the strength of those links. This result indicates that both export and import of automobile products in this region increase significantly over time. In addition, Japan has emerged as the main player, both in the case of auto parts and components (PC) and final automobiles. The Republic of Korea has also emerged as the second most important player in East Asia’s final automobile networks, while China has become the second most important player in East Asia’s auto PC networks. Even though Thailand is the third most important player in East Asia’s automobile networks in both auto PC and final automobiles, the analysis of this paper has suggested that there is a possibility for this country to overtake China and the Republic of Korea to become the second most important player in terms of both auto PC and final automobiles. The dramatic changes in the development of Thailand’s automobile industry as well as significant development in China’s auto PC have been made possible by the pivotal role played by Japan (on Thailand) and the Republic of Korea (on China) – all of which have stimulated the development of their subordinates’ auto industry in a so-called “win-win situation

Brans-Dicke Boson Stars: Configurations and Stability through Cosmic History

We make a detailed study of boson star configurations in Jordan--Brans--Dicke theory, studying both equilibrium properties and stability, and considering boson stars existing at different cosmic epochs. We show that boson stars can be stable at any time of cosmic history and that equilibrium stars are denser in the past. We analyze three different proposed mass functions for boson star systems, and obtain results independently of the definition adopted. We study how the configurations depend on the value of the Jordan--Brans--Dicke coupling constant, and the properties of the stars under extreme values of the gravitational asymptotic constant. This last point allows us to extract conclusions about the stability behaviour concerning the scalar field. Finally, other dynamical variables of interest, like the radius, are also calculated. In this regard, it is shown that the radius corresponding to the maximal boson star mass remains roughly the same during cosmological evolution.Comment: 9 pages RevTeX file with nine figures incorporated (uses RevTeX and epsf

Probing the Goldstone equivalence theorem in Heavy Weak Doublet Decays

This paper investigates the decays from heavy higgsino-like weak-doublets into Z, h bosons and missing particles. When pair-produced at the LHC, the subsequent Z, h to 2l, 2b decays in the doublet decay cascade can yield 4l, 2l 2b, and 4b + MET + jets final states. Mutual observation of any two of these channels would provide information on the the associated doublets' decay branching fractions into a Z or h, thereby probing the Goldstone equivalence relation, shedding additional light on the Higgs sector of beyond the Standard Model theories, and facilitating the discrimination of various contending models, in turn. We compare the Z/h decay ratio expected in the Minimal Supersymmetric model, the Next-to Minimal Supersymmetric model and a minimal singlet-doublet dark matter model. Additionally, we conduct a full Monte Carlo analysis of the prospects for detecting the targeted final states during 14 TeV running of the LHC in the context of a representative NMSSM benchmark model.Comment: As accepted to PRD; 15 pages, 12 figures, 5 table