Browsing Mathematics, Statistics, and Physics by Title
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Radial and circular slit maps of unbounded multiply connected circle domains
(The Royal Society, 20080708)Infinite product formulae for conformally mapping an unbounded multiply connected circle domain to an unbounded canonical radial or circular slit domain, or to domains with both radial and circular slit boundary components ... 
Radial limits of bounded nonparametric prescribed mean curvature surfaces
(Pacific Journal of Mathematics, 20160622)Consider a solution f is an element of C2 (Omega)of a prescribed mean curvature equation div del f/root 1+vertical bar del f vertical bar(2) = 2H(x, f) in Omega, where Omega subset of R2 is a domain whose boundary ... 
Radial limits of capillary surfaces at corners
(Pacific Journal of Mathematics, 201705)Consider a solution f is an element of C2(Omega) of a prescribed mean curvature equation div del f/root 1+vertical bar del f vertical bar(2) = 2H (x, f) in Omega subset of R2, where Omega is a domain whose boundary ... 
RamondRamond fields and twisted differential Ktheory
(International Press of Boston, Inc., 20230330)We provide a systematic approach to describing the RamondRamond (RR) fields as elements in twisted differential Ktheory. This builds on a series of constructions by the authors on geometric and computational aspects of ... 
Rational covariance functions for nonstationary random fields
(IEEE, 200802)This correspondence propose rationaltype covariance functions for nonstationary Gaussian stochastic processes or random fields, which are rational functions of given variograms, typically have long range dependence, ... 
Recent developments on the construction of spatiotemporal covariance models
(SpringerVerlag, 2008)This paper briefly surveys some recent advances on how to construct spatiotemporal covariance functions, with the emphasis on the methods which can be used to derive covariance functions but not on a summary list of ... 
Recovery of time dependent volatility coefficient by linearization
(American Institute of Mathematical Sciences, 201403)We study the problem of reconstruction of special time dependent local volatility from market prices of options with different strikes at two expiration times. For a general diffusion process we apply the linearization ... 
Recovery of timedependent volatility in option pricing model
(IOP Publishing Ltd, 20160929)In this paper we investigate an inverse problem of determining the timedependent volatility from observed market prices of options with different strikes. Due to the non linearity and sparsity of observations, an analytical ... 
Regularity of the heat operator on a manifold with cylindrical ends
(Pacific Journal of Mathematics at the University of California, 20040601)We study mapping properties of the heat operator etA of an mth order elliptic bdifferential operator in appropriately defined spaces of whole and fractional (Hölder) derivatives. An application is made to short time ... 
Regularization via Cheeger deformations
(Springer Netherlands, 201512)We show that Cheeger deformations regularize Ginvariant metrics in a very strong sense. 
Reinforcement and backpropagation training for an optical neural network using selflensing effects
(IEEE, 200011)The optical bench training of an optical feedforward neural network, developed by the authors, is presented. The network uses an optical nonlinear material for neuron processing and a trainable applied optical pattern as ... 
Remarks on the behavior of nonparametric capillary surfaces at corners
(Mathematical Sciences Publishers, 201208)Consider a nonparametric capillary or prescribed mean curvature surface z = f(x) defined in a cylinder Omega x R over a twodimensional region Omega whose boundary has a corner at O with an opening angle of 2 alpha. Suppose ... 
Remembering Georges Charpak, Friend, Advisor and Great Physicist
(Elsevier, 2012) 
Restricted estimation of the cumulative incidence functions corresponding to competing risks
(Institute of Mathematical Statistics, 2006)In the competing risks problem, an important role is played by the cumulative incidence function (CIF), whose value at time t is the probability of failure by time t from a particular type of failure in the presence of ... 
Revisiting Kepler444: I. Seismic modeling and inversions of stellar structure
(EDP Sciences, 20191003)Context. The CoRoT and Kepler missions have paved the way for synergies between exoplanetology and asteroseismology. The use of seismic data helps providing stringent constraints on the stellar properties which directly ... 
Ricci tensor under conformal change of metric as an elementary obstruction to certain Einstein metrics
(Wichita State University, 202107)Gregorio RicciCurbastro, (18531925) Bologna, was an Italian mathematician and a professor at the University of Padua from 1880 1925. He was the rst to introduce the systematic theory of tensor analysis in 1887 with a ... 
Role of Cu2+ substitution on the structural and magnetic properties of Niferrite nanoparticles synthesized by the microwavecombustion method
(Elsevier B.V., 201511)Ni1xCuxFe2O4 (x=0.00, 0.05, 0.10, 0.15, 0.20 and 0.25) nanoparticles were successfully synthesized by microwaveinduced combustion process using urea as fuel. The structural and magnetic properties of the samples were ... 
Scalar and vector tomography for the weighed transport equation
(Wichita State University, 201805)Beginning with the weighted transport equation, P u(x, ω) = hω, ∇xu(x, ω)i + µ(x)u(x, ω) = ρ(x, ω)a(x), x ∈ ω ⊂ R 2 , we examine the properties of acoustic waves that travel below the surface of a solid, such as the ... 
Scalar and vector tomography for the weighted transport equation with application to helioseismology
(De Gruyter Open Ltd, 20220408)Motivated by the application to helioseismology, we demonstrate uniqueness and stability for a class of inverse problems of the weighted transport equation. Using Aanalytic functions, this inverse problem is expressed as ... 
Scattering problems and stationary waves
(Springer, 2017)The stationary incoming wave u with the wave number k is a solution to the perturbed Helmholtz equation (scattering by medium) Au−k2u=0 in R3