Browsing Mathematics, Statistics, and Physics by Title
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Fortyfold speedup of NV center magnetometry with sequential Bayesian experiment design
(IEEE, 20210501)In magnetometry using quantum defects in diamond (NV  centers), we demonstrate fortyfold speedup with sequential Bayesian experiment design as compared with conventional NVmagnetometry using frequencyswept measurements. 
Fortyfold speedup of NV center magnetometry with sequential Bayesian experiment design
(Optica Publishing Group, 20210501)In magnetometry using quantum defects in diamond (NV  centers), we demonstrate fortyfold speedup with sequential Bayesian experiment design as compared with conventional NVmagnetometry using frequencyswept measurements 
A forward branching phase space generator for hadron colliders
(Springer Berlin Heidelberg, 201810)In this paper we develop a projective phase space generator appropriate for hadron collider geometry. The generator integrates over bremsstrahlung events which project back to a single, fixed Born event. The projection is ... 
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 ... 
Function spaces
(Springer, 2017)We collect here definitions and known results about space Ck+λ of H¨older continuous functions and about Sobolev space Hkp that we used in the book 
A generalization of ''Existence and behavior of the radial limits of a bounded capillary surface at a corner''
(Pacific Journal of Mathematics, 201802)The principal existence theorem (i.e., Theorem 1) of "Existence and behavior of the radial limits of a bounded capillary surface at a corner" (Pacific J. Math. 176:1 (1996), 165194) is extended to the case of a contact ... 
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 ... 
Geometry of the triple junction between three fluids in equilibrium
(Texas State University, 20190827)We present an approach to the problem of the blow up at the triple junction of three uids in equilibrium. Although many of our results can already be found in the literature, our approach is almost selfcontained and uses ... 
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 ... 
Harmonicmeasure distribution functions for a class of multiply connected symmetrical slit domains
(Royal Society, 20220302)The harmonicmeasure distribution function, or hfunction, of a planar domain Ω ⊂ C with respect to a basepoint z0 ∈ Ω is a signature that profiles the behaviour in Ω of a Brownian particle starting from z0. Explicit ... 
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 ...