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Articles 181 - 194 of 194
Full-Text Articles in Applied Statistics
Spatial Critical Points Of Solutions Of A One-Dimensional Nonlinear Parabolic Problem, Larry Turyn
Spatial Critical Points Of Solutions Of A One-Dimensional Nonlinear Parabolic Problem, Larry Turyn
Mathematics and Statistics Faculty Publications
The number of spatial critical points is nonincreasing in time, for positive, analytic solutions of a scalar, nonlinear, parabolic partial differential equation in one space dimension. While proving this, we answer the question: What happens to a critical point which loses simplicity?
On The Existence And Symmetry Properties Of Finite Total Mass Solutions Of The Matukuma Equation, The Eddington Equation And Their Generalizations, Yi Li, Wei-Ming Ni
On The Existence And Symmetry Properties Of Finite Total Mass Solutions Of The Matukuma Equation, The Eddington Equation And Their Generalizations, Yi Li, Wei-Ming Ni
Mathematics and Statistics Faculty Publications
No abstract provided.
Remarks On A Semilinear Elliptic Equation On Rn, Yi Li
Remarks On A Semilinear Elliptic Equation On Rn, Yi Li
Mathematics and Statistics Faculty Publications
No abstract provided.
Spectral Measures, Orthogonal Polynomials, And Absolute Continuity, Joanne Dombrowski
Spectral Measures, Orthogonal Polynomials, And Absolute Continuity, Joanne Dombrowski
Mathematics and Statistics Faculty Publications
This paper studies the spectral measure of an unbounded tridiagonal matrix operator for which the matrix entries satisfy a certain growth condition, and presents a sufficient condition for the existence of an absolutely continuous part. The results are related to a class of orthogonal polynomials with exponential weights.
On Conformal Scalar Curvature Equations In Rn, Yi Li, Wei-Ming Ni
On Conformal Scalar Curvature Equations In Rn, Yi Li, Wei-Ming Ni
Mathematics and Statistics Faculty Publications
No abstract provided.
Cyclic Operators, Commutators, And Absolutely Continuous Measures, Joanne Dombrowski
Cyclic Operators, Commutators, And Absolutely Continuous Measures, Joanne Dombrowski
Mathematics and Statistics Faculty Publications
Commutator equations are used to study the relationship between the tridiagonal matrix structure of an unbounded cyclic selfadjoint operator and its spectrum. Sufficient conditions are given for absolute continuity. Results are related to the study of systems of orthogonal polyomials for which the measure of orthogonality is supported on an unbounded subset of the real line.
Orthogonal Polynomials, Measures And Recurrence Relations, Joanne Dombrowski, Paul Nevai
Orthogonal Polynomials, Measures And Recurrence Relations, Joanne Dombrowski, Paul Nevai
Mathematics and Statistics Faculty Publications
Properties of measures associated with orthogonal polynomials are investigated in terms of the coefficients of the three term recurrence formula satisfied by the orthogonal polynomials.
L(P) Estimates For Maximal Functions And Hilbert-Transforms Along Flat Convex Curves In R(2), Hasse Carlsson, Michael Christ, Antonio Cordoba, Javier Duoandikoetxea, Jose L. Rudio De Francia, Jim Vance, Stephen Wainger, David Weinberg
L(P) Estimates For Maximal Functions And Hilbert-Transforms Along Flat Convex Curves In R(2), Hasse Carlsson, Michael Christ, Antonio Cordoba, Javier Duoandikoetxea, Jose L. Rudio De Francia, Jim Vance, Stephen Wainger, David Weinberg
Mathematics and Statistics Faculty Publications
No abstract provided.
Cramer Type Large Deviations For Generalized Rank Statistics, Munsup Seoh, Stegan S. Ralescu, Madan L. Puri
Cramer Type Large Deviations For Generalized Rank Statistics, Munsup Seoh, Stegan S. Ralescu, Madan L. Puri
Mathematics and Statistics Faculty Publications
A Cramer type large deviation theorem is proved under alternatives as well as under hypothesis for the generalized linear rank statistic which includes as special cases (unsigned) linear rank statistics, signed linear rank statistics, linear combination of functions of order statistics, and a rank combinatorial statistic.
Perturbation Of Periodic Boundary-Conditions, Larry Turyn
Perturbation Of Periodic Boundary-Conditions, Larry Turyn
Mathematics and Statistics Faculty Publications
We consider perturbations of the problem (*) - x'' + bx = lambda ax, x(0) - x(1) = 0 = x'(0) - x'(1) both by changes of the boundary conditions and by addition of nonlinear terms. We assume that at lambda = lambda 0 there are two linearly independent solutions of the unperturbed problem (*) and that a(dot) is bounded away from zero. When only the boundary conditions are perturbed either the Hill’s discriminant or the method of Lyapunov–Schmidt reduces the problem to 0 = det ((lambda - lambda 0)A - epsilon …
Evidence Of Intrinsic Double Acceptor In Gaas, Phil Won Yu, W. C. Mithel, M. G. Mier, S. S. Li, Weizhen Wang
Evidence Of Intrinsic Double Acceptor In Gaas, Phil Won Yu, W. C. Mithel, M. G. Mier, S. S. Li, Weizhen Wang
Mathematics and Statistics Faculty Publications
Acceptors present in undoped p‐type conducting GaAs have been studied with photoluminescence, temperature‐dependent Hall measurements, deep level transient spectroscopy, and spark source mass spectrometry. It is shown that p‐type conduction is due to presence of the shallow acceptor CAs and the cation antisite double acceptor GaAs. The first and second ionization energies determined for GaAs are 77 and 230 meV from the valence‐band edge.
Quasi-Triangular Matrices, Joanne Dombrowski
Quasi-Triangular Matrices, Joanne Dombrowski
Mathematics and Statistics Faculty Publications
It is shown that there exist quasitriangular operators which cannot be represented as quasitriangular matrices.
Positive Perturbations Of Unbounded Operators, Joanne Dombrowski
Positive Perturbations Of Unbounded Operators, Joanne Dombrowski
Mathematics and Statistics Faculty Publications
This work studies the spectral properties of certain unbounded selfadjoint operators by considering positive perturbations of such operators and the unitary equivalence of the perturbed and unperturbed transformations. Conditions are obtained on the unitary operators implementing this equivalence which guarantee that the selfadjoint operators have an absolutely continuous part.
The Absolute Continuity Of Phase Operators, Joanne Dombrowski, G. H. Fricke
The Absolute Continuity Of Phase Operators, Joanne Dombrowski, G. H. Fricke
Mathematics and Statistics Faculty Publications
This paper studies the spectral properties of a class of operators known as phase operators which originated in the study of harmonic oscillator phase. Ifantis conjectured that such operators had no point spectrum. It was later shown that certain phase operators were, in fact, absolutely continuous and that all phase operators at least had an absolutely continuous part. The present work completes the discussion by showing that all phase operators are absolutely continuous.