Mathematics in Internet Traffic Data Analysis

The Internet traffic data have been found to possess extreme variability and bursty structures in a wide range of time-scales, so that there is no definite duration of busy or silent periods. But there is a self-similarity for which it is possible to characterize the data. The self-similar nature was first proposed by Leland et a1 [l] and subsequently established by others in a flood of research works on the subject [2]-[5]. It was then a new concept against the long believed idea of Poisson traffic. The traditional Poison model, a short ranged process, assumed the variation of data flow to be finite but the observations on Internet traffic proved otherwise. It is this large variance that leads to the self-similar nature of the data almost at all scales of resolution. Such a feature is always associated with a fractal structure of the data. The fractal characteristics can exist both in temporal and spatial scales. This was indicated by Willinger and Paxson [6], as due to the extreme variability and long range dependence in the process. Presently, one of the main research interests in the field of Internet traffic is that of prediction of data which will help a network manager to render a satisfactory quality of service. Before preparing a model of prediction, one of the important tasks is to determine its statistics. Any model to predict the future values will have to preserve these characteristics

Spontaneously broken parity and consistent cosmology with transitory domain walls

Domain wall structure which may form in theories with spontaneously broken parity is generically in conflict with standard cosmology. It has been argued that Planck scale suppressed effects can be sufficient for removing such domain walls. We study this possibility for three specific evolution scenarios for the domain walls, with evolution during radiation dominated era, during matter dominated era, and that accompanied by weak inflation. We determine the operators permitted by the supergravity formalism and find that the field content introduced to achieve desired spontaneous parity breaking makes possible Planck scale suppressed terms which can potentially remove the domain walls safely. However, the parity breaking scale, equivalently the majorana mass scale $M_R$ of the right handed neutrino, does get constrained in some of the cases, notably for the matter dominated evolution case which would be generic to string theory inspired models giving rise to moduli fields. One left-right symmetric model with only triplets and bidoublets is found to be more constrainted than another admitting a gauge singlet

Threshold effects and renormalization group evolution of neutrino parameters in TeV scale seesaw models

We consider the threshold effect on the renormalization group (RG) evolution of the neutrino masses and mixing angles in TeV scale seesaw models. We obtain the analytic expressions using the factorization method in presence of threshold effects. We also perform numerical study of RG effects in two specific low scale seesaw models following the bottom-up approach and ascertain the role of seesaw thresholds in altering the values of masses and mixing angles during RG evolution.Comment: 31 pages, 8 figure

Neutrino mass observables and non-Hermitian version of Type-I seesaw model

We study the non-Hermitian extension of the Lagrangian of the Standard Model extended by singlet right-handed heavy neutrinos. The neutrino mass eigenvalues are calculated for three generation case. Using experimental data available for neutrino mass observables, the non-Hermitian parameters are constrained. New contributions to leptogenesis are analyzed. While allowing for a low scale seesaw it is identified that branching ratio close to the experimental limit for lepton flavor violation is achievable in the context of Type-I seesaw mechanism.Comment: 17 page

Interplay of type-I and type-II seesaw in neutrinoless double beta decay in left-right symmetric model

The left-right symmetric models (LRSM) generally include type-I and type-II induced seesaw mass as a hybrid mass for the light-active neutrinos. Assuming a particular form of Dirac-type coupling, the Majorana-type coupling present in the seesaw mass formula can be expressed in terms of low-energy neutrino oscillation observables and vacuum expectation values (vevs) of the scalar fields present in the model. The Majorana-type coupling thus admits eight different solutions by considering the interplay of type-I and type-II terms dominate the light neutrino mass. We study the role of all eight solutions in the lepton number violating neutrinoless double beta decay ($0\nu\beta\beta$) process. In LRSM, the right-handed neutrinos, triplet scalars, and gauge bosons of the left and right sectors act as mediators of new contributions to the $0\nu\beta\beta$ process. As a result, the effective mass of electron neutrino appearing in the decay width would be a function of $v_R$ (vev of the Higgs triplet of the right sector) along with other parameters of the model, through the masses of the new contributions. The energy scale, $v_R$ can be considered as the new physics scale which allows exploring physics beyond the Standard Model. Considering the present and future sensitivity of searches of $0\nu\beta\beta$, we study the role of eight different solutions of the Majorana coupling matrix. In our study, the inverted hierarchy of light neutrino masses is disfavored for all solutions keeping future sensitivity of effective mass in the picture, if the lightest mass of active neutrinos is below $0.001$ eV. Also, our study shows a possibility of new physics contributions saturating the experimental bound on effective mass for $v_R$ in the range of $10$ TeV for two particular solutions of the Majorana coupling matrix

Baryogenesis via flavoured leptogenesis in a minimal type-II seesaw model

We study baryogenesis via leptogenesis in an extension of the Standard Model by adding one right-handed neutrino and one triplet scalar. These heavy particles contribute to the generation of tiny neutrino mass through seesaw mechanism. The contribution of the heavy particles to the neutrino masses is inversely proportional to their corresponding masses. Considering leptogenesis is achieved by the decay of the right-handed neutrino, the new source of CP asymmetry comes solely from the decay of the right-handed neutrino with one-loop vertex diagram involving the triplet scalar. The predictiveness of the model is enhanced by introducing Fritzsch-type textures for the neutrino mass matrix and charged lepton mass matrix. We execute the parameter space study following the latest neutrino oscillation data. We study baryogenesis via leptogenesis in the two-flavoured regime, using the zero textures, and show that there is an enhancement in baryon asymmetry as compared to the unflavoured regime. For two-flavour leptogenesis we consider the suitable temperature regime $T\subset\left[10^{10},10^{11}\right]$ GeV. We also study the common correlation of CP violation between low and high-energy regimes using the geometrical description of CP violation in terms of unitarity triangle.Comment: 32 pages, 6 figures, 4 table

Journey of ERP from Manufacturing to Education Industry

oai:ojs.pkp.sfu.ca:article/4Enterprise Resource Planning (ERP) is a concept used to integrate the business process into one particular software in order to reduce work load. The technology had a very modest beginning and its popularity and efficiency is increasing day by day. This conceptual paper provides a historical sketch of the evolution of ERP and its journey from manufacturing set up to service and education sector. This study also intends to explore factors which leads to ERP usage in manufacturing, service and technical education institute. Finally, finds out certain gray areas of research in education industry

To Analyze the Effect of Microfinance Institutions on Women Empowerment, in Wolaita Zone, Southern Ethiopia

Objectives: The main aim of this paper is to analyze the effect of microfinance institutions on women’s empowerment in Wolaita Zone, southern Ethiopia.   Theoretical frame work: The effect of microfinance institutions through women empowerment by measuring economically, socially, and psychological.   Methods: The data was collected from 399 household respondents, mostly women, about five branches or districts of microfinance institutions. Descriptive statistics and binary logistic regression were used to analyze women’s empowerment after participating in microfinance institutions.   Results and conclusion: The output of the study shows a significantly positive effect of microfinance institutions on the selected indicators such as income, saving, consumption, living standards, medical facilities, decision-making power, political activity, and reducing domestic violence, but not significantly on education or women’s free movement for women’s empowerment. In addition to using descriptive statistics, after joining microfinance institutions, income, saving, and consumption increased by more than 548% compared with before joining the institutions. The findings of this paper can assist policymakers, such as stockholders, non-governmental organizations, and governments, in linking development programs with women.   Implication of the research: In this paper the researcher suggested that the stockholders, donors and government should take action to solve women awareness, support their financial problems, and should design appropriate policy.   Originality/Value: Our work and methodology are novel in the study