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Peakedness and convex ordering for elliptically contoured random fields
(Elsevier, 201812)For the peakedness comparison between two Gaussian random fields about their mean functions, a necessary and sufficient condition is derived in this paper in terms of their covariance functions. interestingly, such a ... 
Optically thin core accretion: how planets get their gas in nearly gasfree discs
(Oxford University Press, 20180511)Models of core accretion assume that in the radiative zones of accreting gas envelopes, radiation diffuses. But superEarths/subNeptunes (14 Rcircle plus, 220M(circle plus)) point to formation conditions that are ... 
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 ... 
Programming quantum annealing computers using machine learning
(IEEE, 2017)Commercial quantum annealing (QA) machines are now being built with hundreds of quantum bits (qubits). These are used as analog computers, to solve optimization problems by annealing to an unknown ground state (the solution), ... 
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) ... 
Monochromatic molecular absorption coefficients for use in calculations of stellar opacity
(Wichita State University, 20180427)In order to fully understand stellar structure, it is necessary to know the opacity, as it influences the behavior of radiative transfer within the stellar interior. Opacity plays an important role in the onset of convection ... 
Effect of support pretreatment temperature on the performance of an iron FischerTropsch catalyst supported on silicastabilized alumina
(MDPI, 20180212)The effect of support material pretreatment temperature, prior to adding the active phase and promoters, on FischerTropsch activity and selectivity was explored. Four iron catalysts were prepared on silicastabilized ... 
Increasing stability in the inverse source problem with attenuation and many frequencies
(SIAM Publ., 2018)We study the interior inverse source problem for the Helmholtz equation from boundary Cauchy data of multiple wave numbers. The main goal of this paper is to understand the dependence of increasing stability on the ... 
Isotropic random fields with infinitely divisible marginal distributions
(Taylor & Francis, 2018)A simple but efficient approach is proposed in this paper to construct the isotropic random field in (d 2), whose univariate marginal distributions may be taken as any infinitely divisible distribution with finite variance. ... 
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 ... 
A capillary surface with no radial limits
(Pacific Journal of Mathematics, 2018)In 1996, Kirk Lancaster and David Siegel investigated the existence and behavior of radial limits at a corner of the boundary of the domain of solutions of capillary and other prescribed mean curvature problems with contact ... 
A capillary surface with no radial limits
(Wichita State University, 201705)We begin by discussing the circumstances of capillary surfaces in regions with a corner, both concave and convex. These circumstances led to the (since proved) ConcusFinn Conjecture, which gives the requirements for a ... 
Unbiasedness of homogeneity test of normal mean vectors under multivariate order restrictions
(Wichita State University, 201705)This dissertation considers homogeneity test for comparing multivariate normal populations with generalized order restricted alternative hypothesis. The framework in this dissertation presents a generalized multivariate ... 
Composite optimal control for interconnected singularly perturbed systems
(Wichita State University, 201705)This dissertation deals with the design of a decentralized control and estimators for large scale interconnected singularly perturbed stochastic systems for system stabilization and cost minimization. Singular perturbation ... 
Classification of simply connected cohomogeneity one manifolds in lower dimensions
(Wichita State University, 201705)A cohomogeneity one manifold is a topological manifold with an effective topological action of a compact Lie group whose quotient is one dimensional. Cohomogeneity one manifolds were introduced by Mostert in 1957, however ... 
Torus actions on simply connected 4manifolds
(Wichita State University, 201705)In this paper, we study smooth effective actions of the 2dimensional torus group T 2 ~= SO(2)xSO(2) on simply connected, closed 4dimensional manifolds. Using the conical orbit space of the quotient, a crosssectioning ... 
Preface  Inverse Problems for Partial Differential Equations First Edition Preface
(Springer, 2017)This book describes the contemporary state of the theory and some numerical aspects of inverse problems in partial differential equations. The topic is of substantial and growing interest for many scientists and engineers ... 
Preface  Inverse Problems for Partial Differential Equations Second Edition Preface
(Springer, 2017)In 8 years after the publication of the first version of this book, the rapidly progressing field of inverse problems witnessed changes and new developments. Parts of the book were used at several universities, and many ... 
Isotropic twodimensional pseudoRiemannian metrics uniquely constructed by a given curvature
(Elsevier, 201801)We prove a global uniqueness theorem of reconstruction of a twodimensional pseudo metric by a given Gaussian curvature. 
Appendix  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