Browsing Mathematics, Statistics, and Physics by Title
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An inverse problem for a dynamical Lamé system with residual stress
(Society for Industrial and Applied Mathematics, 20071219)In this paper we prove a Hölder and Lipschitz stability estimates of determining all coefficients of a dynamical Lamé system with residual stress, including the density, Lam´e parameters, and the residual stress, by three ... 
Inverse problem for onedimensional wave equation with matrix potential
(De Gruyter, 20190120)We prove a global uniqueness theorem of reconstruction of a matrixpotential a (x, t) {a(x,t)} of onedimensional wave equation □ u + a u = 0 {\square u+au=0}, x > 0, t > 0 {x>0,t>0}, □ = t 2  x 2 {\square=\partial{t}^ ... 
Inverse problems
(Springer, 2017)In this chapter, we formulate basic inverse problems and indicate their applications. The choice of these problems is not random. We think that it represents their interconnections and some hierarchy. 
Inverse source problems without (pseudo) convexity assumptions
(American Institute of Mathematical Sciences, 201808)We study the inverse source problem for the Helmholtz equation from boundary Cauchy data with multiple wave numbers. The main goal of this paper is to study the uniqueness and increasing stability when the (pseudo)convexity ... 
An investigation of capillary surfaces at nonconvex corners
(Wichita State University, 200912)In this thesis we take a close look at the paper CMC Capillary Surfaces at Reentrant Corners [33] a central feature of which is the question of when does the "central fan" of radial limits exist for a capillary graph in a ... 
Investigations in single layer gravitational potential
(Wichita State University, 201005) 
Isochrones for old (> 5 GYR) stars and stellar populations. I. models for2.4 <= [Fe/H] <=+0.6, 0.25 <= Y <= 0.33, and0.4 <= [alpha/Fe] <=+0.4
(IOP Publishing, 20141010)Canonical grids of stellar evolutionary sequences have been computed for the helium massfraction abundances Y = 0.25, 0.29, and 0.33, and for iron abundances that vary from 2.4 to +0.4 (in 0.2 dex increments) when [alpha/Fe] ... 
Isolated fixed point sets for holomorphic maps
(Elsevier SAS, 200607)We study discrete fixed point sets of holomorphic selfmaps of complex manifolds. The main attention is focused on the cardinality of this set and its configuration. As a consequence of one of our observations, a bounded ... 
Isotonic regression through the Merge and Chop Algorithm for application in statistical inference
(Wichita State University, 201605)In this paper, the theory for the application of the Merge and Chop Algorithm are defined and proven. The algorithm is used to find isotonic regressions in more situations than comparable methods. A program is included ... 
Isotropic covariance matrix functions on all spheres
(Springer International Publishing AG, 201508)This paper reviews and introduces characterizations of the covariance function on all spheres that is isotropic and continuous, and characterizations of the covariance matrix function on all spheres whose entries are ... 
Isotropic covariance matrix functions on compact twopoint homogeneous spaces
(Springer, 2019)The covariance matrix function is characterized in this paper for a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the compact twopoint homogeneous ... 
Isotropic covariance matrix polynomials on spheres
(Taylor & Francis Group, 2016)This article characterizes the covariance matrix function of a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the sphere. By applying the characterization ... 
Isotropic positive definite functions on spheres generated from those in Euclidean spaces
(Wichita State University, 201905)In this thesis, author have reviewed the classical characterizations of isotropic positive definite functions on Euclidean spaces and spheres, and had applied them to develop a construction of isotropic positive de nite ... 
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. ... 
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. 
Isotropic variogram matrix functions on spheres
(SPRINGER, 201304)This paper is concerned with vector random fields on spheres with secondorder increments, which are intrinsically stationary and mean square continuous and have isotropic variogram matrix functions. A characterization of ... 
Kcombined random fields: Basic properties and stochastic orderings
(Taylor and Francis, 20210517)This paper introduces the Kcombined vector random field, whose finitedimensional characteristic functions are made up of certain power functions and whose finitedimensional density functions are comprised of the modified ... 
Kdifferenced vector random fields
(SIAM Publ., 2019)A thintailed vector random field, referred to as a Kdifferenced vector random field, is introduced. Its finitedimensional densities are the differences of two Besse! functions of second order, whenever they exist, and ... 
Kdistributed vector random fields in space and time
(Elsevier, 201304)This paper introduces two types of secondorder vector random fields or stochastic processes whose marginals are Kdistributed, through certain mixture procedures. The first type is formulated as an independent product of ... 
KahlerEinstein metrics with edge singularities
(Princeton University, 201601)This article considers the existence and regularity of Kahler Einstein metrics on a compact Kahler manifold M with edge singularities with cone angle 2 pi beta along a smooth divisor D. We prove existence of such metrics ...