Browsing Mathematics, Statistics, and Physics by Title
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Forty two problems of first degree from Diophantus’ Arithmetica
(Wichita State University, 201012)This work brings to the audience Diophantus' problems of first degree in a literal word for word English translation from Ver Eecke's French translation of Arithmetica. In addition, these problems are accompanied by ... 
From the colormagnitude diagram of omega centauri and (super) asymptotic giant branch stellar models to a galactic plane passage gas purging chemical evolution scenario
(IOP Publishing, 20121001)We have investigated the colormagnitude diagram of omega Centauri and find that the blue main sequence (bMS) can be reproduced only by models that have a helium abundance in the range Y = 0.350.40. To explain the faint ... 
Geometry of horizontal bundles and connections
(Wichita State University, 201405)An Ehresmann connection on a fiber bundle pi: E > M is defined by prescribing a suitable horizontal subbundle H of the tangent bundle piT: TE > E. For a horizontal bundle to be suitable, it must have a property called ... 
Geometry of nonlinear connections
(Elsevier Science B.V., Amsterdam, 20040828)We show that locally diffeomorphic exponential maps can be defined for any secondorder differential equation, and give a (possibly nonlinear) covariant derivative for any (possibly nonlinear) connection. We introduce ... 
Growth rate and existence of solutions to Dirichlet problems for prescribed mean curvature equations on unbounded domains
(Texas State University  San Marcos, 2008)We prove growth rate estimates and existence of solutions to Dirichlet problems for prescribed mean curvature equation on unbounded domains inside the complement of a cone or a parabola like region in Rn (n 2). The ... 
Hspaces, loop spaces and the space of positive scalar curvature metrics on the sphere
(Mathematical Sciences Publishers, 20141002)For dimensions n >= 3, we show that the space Riem(+)(Sn) of metrics of positive scalar curvature on the sphere Sn is homotopy equivalent to a subspace of itself which takes the form of an Hspace with a homotopy ... 
The HANOHANO Detector and Ongoing Research and Development
(Elsevier, 2012)The Hanohano neutrino detector is a deep sea module that can be submerged to the ocean floor far away from surface radiation. Its Physics goals are the study of geoneutrinos to probe the isotope source of the 45 TW of ... 
Higgs boson Mass in GMSB with Messenger–Matter mixing
(Elsevier, 201212)A Higgslike particle with mass of order 125 GeV has been observed by both ATLAS and CMS experiments. This Higgs mass causes sparticle masses in the several to multiTeV range in the simple version of minimal GMSB models. ... 
Higgs boson of mass 125 GeV in gauge mediated supersymmetry breaking models with mattermessenger mixing
(American Physical Society, 20130905)We investigate the effects of messengermatter mixing on the lightest CPeven Higgs boson mass m(h) in gaugemediated supersymmetry breaking models. It is shown that with such mixings m(h) can be raised to about 125 GeV, ... 
A historical overview of connections in geometry
(Wichita State University, 201105)This thesis is an attempt to untangle/clarify the modern theory of connections in Geometry. Towards this end a historical approach was taken and original as well as secondary sources were used. An overview of the most ... 
Holomorphic functions on subsets of C
(Mathematical Society of Japan, 201301)Let Gamma be a Cinfinity curve in C containing 0; it becomes Gamma(theta) after rotation by angle theta about 0. Suppose a Cinfinity function f can be extended holomorphically to a neighborhood of each element of the ... 
Horizontal bundles and connections
(Wichita State University. Graduate School, 20140425)A manifold is a mathematical space that locally resembles standard Euclidean space. In order to study the geometry of such a space, it is necessary to prescribe a connection on the manifold. A connection describes how ... 
How to lift positive Ricci curvature
(Mathematical Sciences Publishers, 20150521)We show how to lift positive Ricci and almost nonnegative curvatures from an orbit space M / G to the corresponding Gmanifold, M. We apply the results to get new examples of Riemannian manifolds that satisfy both curvature ... 
Hyperbolic vector random fields with hyperbolic direct and cross covariance functions
(Taylor & Francis, 20120626)This article introduces the hyperbolic vector random field whose finitedimensional distributions are the generalized hyperbolic one, which is formulated as a scale mixture of Gaussian random fields and is thus an elliptically ... 
Improved asymptotics of a decreasing mean residual life estimator
(Taylor & Francis Group, 20140917)The mean residual life of a life distribution, X, with a finite mean is defined by M(t) = E[X  tX > t] for t > 0. Kochar etal. (2000) provided an estimator of M when it is assumed to be decreasing. They showed that its ... 
Increased stability in the continuation of solutions to the Helmholtz equation
(IOP Science, 20040503)In this paper we give analytical and numerical evidence of increasing stability in the Cauchy Problem for the Helmholtz equation when frequency is growing. This effect depends on convexity properties of the surface where ... 
Increased stability of solutions to the Helmholtz equation
(Wichita State University. Graduate School., 20060428) 
Increased stability of solutions to the Helmholtz equation
(200512)Study of the Cauchy problem for Helmholtz equation is stimulated by the inverse scattering theory and more generally by remote sensing. This thesis explains the increased stability of the Cauchy problem for Helmholtz ... 
Increasing stability for determining the potential in the Schrodinger equation with attenuation from the DirichlettoNeumann map
(American Institute of Mathemaical Sciences, 201411)We derive some bounds which can be viewed as an evidence of increasing stability in the problem of recovering the potential coefficient in the Schrodinger equation from the DirichlettoNeumann map in the presence of ...