Browsing Mathematics, Statistics, and Physics by Title
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Neutrino detector design, attenuation studies, and testing for the νSol project
(Wichita State University, 202005)In order to further work on the Sol project funded through a NASA Phase II NIAC grant, I have performed detailed simulations on the effect of attenuation length on the performance of the Sol solar neutrino probe using ... 
Neutrino interaction classification with a convolutional neural network in the DUNE far detector
(American Physical Society, 20201109)The Deep Underground Neutrino Experiment is a nextgeneration neutrino oscillation experiment that aims to measure CPviolation in the neutrino sector as part of a wider physics program. A deep learning approach based on ... 
New constraints on oscillation parameters from $ν_e$ appearance and $ν_μ$ disappearance in the NOvA experiment
(American Physical Society, 20180824)We present updated results from the NOvA experiment for $\nu_\mu\rightarrow\nu_\mu$ and $\nu_\mu\rightarrow\nu_e$ oscillations from an exposure of $8.85\times10^{20}$ protons on target, which represents an increase of 46% ... 
A new test for decreasing mean residual lifetimes
(Taylor & Francis, 20180302)The mean residual life of a non negative random variable X with a finite mean is defined by M(t) = E[X  tX > t] for t 0. One model of aging is the decreasing mean residual life (DMRL): M is decreasing (non increasing) ... 
A new test for new better than used in expectation lifetimes
(Taylor & Francis Group, 2015)The mean residual life of a non negative random variable X with a finite mean is defined by M(t) = E[X  t  X > t] for t >= 0. A popular nonparametric model of aging is new better than used in expectation (NBUE), when ... 
Nilsolitons of Htype in the Lorentzian setting
(Houston Journal of Mathematics, 2015)It is known that all leftinvariant pseudoRiemannian metrics on the threedimensional Heisenberg group H3 are algebraic Ricci solitons. We consider generalizations of Riemannian Htype, namely pseudoHtype and pHtype. ... 
Nonnegatively curved 6manifolds with almost maximal symmetry rank
(Springer Nature, 201901)We classify closed, simply connected, nonnegatively curved 6manifolds of almost maximal symmetry rank up to equivariant diffeomorphism. 
Numerical comparison of negative damping bounds in a specified domain when the wave speed varies
(IEEE, 19920624)The energy decay of a selfexcited wave equation utt  c2 Â¿ u  P(x)ut = 0 is studied where the wave speed c is greater than one, P(x) Â¿ 0, and P(x) LÂ¿(Â¿), Â¿ Â¿ Â¿ Rn. Moreover, the relationship between two bounds for ... 
Numerical computation of SchwarzChristoffel transformations and slit maps for multiply connected domains
(Wichita State University, 201205)Two methods for the numerical conformal mapping of domains with m < ∞ separated circular holes to domains with m polygonal holes are presented; bounded and unbounded domains are both considered. The methods are based on ... 
Numerical methods for RiemannHilbert problems in multiply connected circle domains
(Elsevier Science Inc., 20161201)RiemannHilbert problems in multiply connected domains arise in a number of applications, such as the computation of conformal maps. As an example here, we consider a linear problem for computing the conformal map from the ... 
Numerical methods for RiemannHilbert problems in multiply connected circle domains
(Wichita State University, 202005)RiemannHilbert problems are problems for determining functions analytic in a given domain with speci ed values on the boundary. Since the real and imaginary parts of an analytic function are related by the CauchyRiemann ... 
Observation of seasonal variation of atmospheric multiplemuon events in the NOvA Near Detector
(American Physical Society, 20190628)Using two years of data from the NOvA Near Detector at Fermilab, we report a seasonal variation of cosmic ray induced multiplemuon $(N\mu\ge2)$ event rates which has an opposite phase to the seasonal variation in the ... 
On an ad hoc test for order restricted multivariate normal means
(Taylor & Francis Group, 2016)For several normal mean vectors restricted by a simple ordering with respect to a multivariate order, this article derives sufficient and necessary conditions for the restricted MLEs for both mean vectors and covariance ... 
On convergence sets of divergent power series
(Polish Academy of Sciences Institute of Mathematics, 2012)A nonlinear generalization of convergence sets of formal power series, in the sense of AbhyankarMoh [J. Reine Angew. Math. 241 (1970)], is introduced. Given a family y = phi(s)(t, x) = sb(1)(x)t + b(2)(x)t(2) + ... of ... 
On convergence sets of formal power series
(Wichita State University, 201312)In this thesis we consider the convergence sets of formal power series of the form f(z, t)=sigma infinity j=0 pj(z)tj, where pj(z) are polynomials. A subset E of the complex plane C is said to be a convergence set if there ... 
On cusp solutions to a prescribed mean curvature equation
(Pacific Journal of Mathematics, 201705)The nonexistence of "cusp solutions" of prescribed mean curvature boundary value problems in Omega x R when Omega is a domain in R2 is proven in certain cases and an application to radial limits at a corner is mentioned. 
On determining sets for holomorphic automorphisms
(Rocky Mountain Mathematics Consortium, 20060114)We study sets K in the closure of a domain D Cn such that, if an automorphism ' of D fixes each point of K, then ' is the identity mapping. A separate result is proved for the case that K lies entirely in the boundary of D. 
On increased stability in the continuation of the Helmholtz equation
(IOP Publishing, 200708)In this paper, we give analytical and numerical evidence of increasing stability in the Cauchy problem for the Helmholtz equation in the whole domain when frequency is growing. This effect depends upon the convexity ... 
On increasing stability in the two dimensional inverse source scattering problem with many frequencies
(IOP Publishing, 20180329)In this paper, we will study the increasing stability in the inverse source problem for the Helmholtz equation in the plane when the source term is assumed to be compactly supported in a bounded domain O with a sufficiently ... 
On increasing stability of the continuation for elliptic equations of second order without (Pseudo)convexity assumptions
(American Institute of Mathematical Sciences, 201910)We derive bounds of solutions of the Cauchy problem for general elliptic partial differential equations of second order containing parameter (wave number) k which are getting nearly Lipschitz for large k. Proofs use energy ...