Browsing Mathematics, Statistics, and Physics by Title
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Bayesian variable selection and estimation in quantile regression using a quantilespecific prior
(Springer Science and Business Media Deutschland GmbH, 20220119)Asymmetric Laplace (AL) specification has become one of the ideal statistical models for Bayesian quantile regression. In addition to fast convergence of Markov Chain Monte Carlo, AL specification guarantees posterior ... 
Behavior of some CMC capillary surfaces at convex corners
(Pacific Journal of Mathematics at the University of California, 200604)We construct examples of nonparametric surfaces z = h(x, y) of zero mean curvature which satisfy contact angle boundary conditions in a cylinder in R3 over a convex domain with corners. When the contact angles for ... 
Bifractional Brownian Motions on Metric Spaces
(Springer, 202308)Fractional and bifractional Brownian motions can be defined on a metric space if the associated metric or distance function is conditionally negative definite (or of negative type). This paper introduces several forms of ... 
Binomialchi(2) vector random fields
(SIAM Publ., 2017)We introduce a new class of nonGaussian vector random fields in space and/or time, which are termed binomialchi(2) vector random fields and include chi(2) vector random fields as special cases. We define a binomialchi(2) ... 
Biologically motivated quantum neural networks
(IEEE, 2017)This paper presents one step toward creating the building blocks for machine intelligence that is inspired by its biological equivalent. The authors' quantum learning methods (deep quantum learning) are applied to quantum ... 
Blocking duality for pmodulus on networks and applications
(Springer, 201906)This paper explores the implications of blocking dualitypioneered by Fulkerson et al.in the context of pmodulus on networks. Fulkerson blocking duality is an analog on networks to the method of conjugate families of curves ... 
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 ... 
Carleman estimates and applications to inverse problems
(Birkhäuser Verlag Basel/Switzerland, 2004)This review paper describes some general and recent results of possible interest for mathematicians studying or using uniqueness of the continuation or working on control theory or inverse problems for partial ... 
The Carleman formula and recovering the refractive index of the twodimensional Helmholtz equation
(2008)We consider the Cauchy problem for the Helmholtz equation with given bounded refrac tive index in an arbitrary planar domain with Cauchy data only on part of the boundary of the domain. We derive a Carlemantype formula ... 
The Carleman formula for the Hemholtz equation on the plane
(Springer Science+Business Media, Inc., 2006)We consider the Cauchy problem for the Helmholtz equation in an arbitrary bounded planar domain with Cauchy data only on part of the boundary of the domain. We derive a Carlemantype formula for a solution to this problem ... 
Cation distribution and dielectric properties of nanocrystalline gallium substituted nickel ferrite
(Elsevier B.V., 20140216)Nano crystalline NiFe2−xGaxO4, 0.0 ⩽ x ⩽ 1 ferrite was prepared by citrate method. The structural and micro structural evolutions of the nanophase have been studied using Xray powder diffraction and the Rietveld method. ... 
Chapter 1  Quantum neural computation of entanglement is robust to noise and decoherence
(Elsevier, 2017)Measurement and witnesses of entanglement remain an important issue in quantum computing. Most witnesses will work for only a very restricted class of states, while measurements commonly require lengthy procedures. Quantum ... 
Chronologically dating the early assembly of the Milky Way
(Springer Nature, 20210517)The standard cosmological model predicts that galaxies are built through hierarchical assembly on cosmological timescales$^{1,2}.$ The Milky Way, like other disk galaxies, underwent violent mergers and accretion of small ... 
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 ... 
Cluster analysis: A modern statistical review
(John Wiley and Sons Inc, 20220819)Cluster analysis is a big, sprawling field. This review paper cannot hope to fully survey the territory. Instead, it focuses on hierarchical agglomerative clustering, kmeans clustering, mixture models, and then several ... 
Clustering and forecasting financial activities at Emprise Bank
(Wichita State University, 20230414)Understanding customers' activities and preferences allows companies to better allocate their resources and streamline services. On this collaborative project, we focus on identifying and extracting useful patterns of ... 
CMC capillary surfaces at reentrant corners
(Pacific Journal of Mathematics at the University of California, 200802)For a capillary graph in a vertical cylinder × R R3, the existence of a reentrant corner P 2 @ makes the determination of the continuity at P (or the behavior of the radial limits at P) of the solution problematic. ... 
Cobordism invariance of the homotopy type of the space of positive scalar curvature metrics
(American Mathematical Society, 201307)Let X and Y be a pair of smooth manifolds, each obtainable from the other by surgery in codimension at least three. We show that the corresponding spaces Riem(+)(X) and Riem(+)(Y), respectively consisting of Riemannian ... 
Coefficients and Fekete–Szegö Functional Estimations of BiUnivalent Subclasses Based on Gegenbauer Polynomials
(Multidisciplinary Digital Publishing Institute (MDPI), 20230625)Subclasses of analytic and biunivalent functions have been extensively improved and utilized for estimating the TaylorMaclaurin coefficients and the Fekete–Szegö functional. In this paper, we consider a certain subclass ... 
Cohomogeneity one central Kähler metrics in dimension four
(Walter de Gruyter GmbH, 202308)A Kähler metric is called central if the determinant of its Ricci endomorphism is constant; see [12]. For the case in which this constant is zero, we study on 4manifolds the existence of complete metrics of this type which ...