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Articles 1531 - 1560 of 1629

Full-Text Articles in Mathematics

Preface Apr 2007

Preface

Communications on Stochastic Analysis

No abstract provided.


The Large Scale Behavior Of Super-Brownian Motion In Three Dimensions With A Single Point Source, Klaus Fleischmann, Carl Mueller, Pascal Vogt Apr 2007

The Large Scale Behavior Of Super-Brownian Motion In Three Dimensions With A Single Point Source, Klaus Fleischmann, Carl Mueller, Pascal Vogt

Communications on Stochastic Analysis

No abstract provided.


The Representation Of Conditional Expectations For Non-Gaussian Noise, Tobias Kuna, Ludwig Streit Apr 2007

The Representation Of Conditional Expectations For Non-Gaussian Noise, Tobias Kuna, Ludwig Streit

Communications on Stochastic Analysis

No abstract provided.


Schrödinger Operators On The Wiener Space, Ichiro Shigekawa Apr 2007

Schrödinger Operators On The Wiener Space, Ichiro Shigekawa

Communications on Stochastic Analysis

No abstract provided.


Dilation Of A Class Of Quantum Dynamical Semigroups, Debashish Goswami, Kalyan B Sinha Apr 2007

Dilation Of A Class Of Quantum Dynamical Semigroups, Debashish Goswami, Kalyan B Sinha

Communications on Stochastic Analysis

No abstract provided.


Application Of White Noise Calculus In Evaluating The Path Integral In Relativistic Quantum Mechanics, C C Bernido, J B Bornales, M V Carpio-Bernido Apr 2007

Application Of White Noise Calculus In Evaluating The Path Integral In Relativistic Quantum Mechanics, C C Bernido, J B Bornales, M V Carpio-Bernido

Communications on Stochastic Analysis

No abstract provided.


Lie Algebras Associated With The Renormalized Higher Powers Of White Noise, Luigi Accardi, Andreas Boukas Apr 2007

Lie Algebras Associated With The Renormalized Higher Powers Of White Noise, Luigi Accardi, Andreas Boukas

Communications on Stochastic Analysis

No abstract provided.


Stochastic 2-D Navier-Stokes Equation With Artificial Compressibility, Utpal Manna, J L Menaldi, S S Sritharan Apr 2007

Stochastic 2-D Navier-Stokes Equation With Artificial Compressibility, Utpal Manna, J L Menaldi, S S Sritharan

Communications on Stochastic Analysis

No abstract provided.


Percolation In A Hierarchical Random Graph, D A Dawson, L G Gorostiza Apr 2007

Percolation In A Hierarchical Random Graph, D A Dawson, L G Gorostiza

Communications on Stochastic Analysis

No abstract provided.


Infinite Dimensional Laplacians On A Lévy-Gelfand Triple, Abdessatar Barhoumi, Hui-Hsiung Kuo, Habib Ouerdiane Apr 2007

Infinite Dimensional Laplacians On A Lévy-Gelfand Triple, Abdessatar Barhoumi, Hui-Hsiung Kuo, Habib Ouerdiane

Communications on Stochastic Analysis

No abstract provided.


Infinite-Dimensional Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow Apr 2007

Infinite-Dimensional Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow

Communications on Stochastic Analysis

No abstract provided.


A Central Limit Type Theorem For A Class Of Particle Filters, Dan Crisan, Jie Xiong Apr 2007

A Central Limit Type Theorem For A Class Of Particle Filters, Dan Crisan, Jie Xiong

Communications on Stochastic Analysis

No abstract provided.


Brownian Super-Exponents, Victor Goodman Apr 2007

Brownian Super-Exponents, Victor Goodman

Communications on Stochastic Analysis

No abstract provided.


Green And Poisson Functions With Wentzell Boundary Conditions, José-Luis Menaldi, Luciano Tubaro Jan 2007

Green And Poisson Functions With Wentzell Boundary Conditions, José-Luis Menaldi, Luciano Tubaro

Mathematics Faculty Research Publications

We discuss the construction and estimates of the Green and Poisson functions associated with a parabolic second order integro-di erential operator with Wentzell boundary conditions.


Locally Conservative Fluxes For The Continuous Galerkin Method, Bernardo Cockburn, Jay Gopalakrishnan, Haiying Wang Jan 2007

Locally Conservative Fluxes For The Continuous Galerkin Method, Bernardo Cockburn, Jay Gopalakrishnan, Haiying Wang

Mathematics and Statistics Faculty Publications and Presentations

The standard continuous Galerkin (CG) finite element method for second order elliptic problems suffers from its inability to provide conservative flux approximations, a much needed quantity in many applications. We show how to overcome this shortcoming by using a two step postprocessing. The first step is the computation of a numerical flux trace defined on element inter- faces and is motivated by the structure of the numerical traces of discontinuous Galerkin methods. This computation is non-local in that it requires the solution of a symmetric positive definite system, but the system is well conditioned independently of mesh size, so it …


Auxiliary Information And A Priori Values In Construction Of Improved Estimators, Florentin Smarandache, Rajesh Singh, Pankaj Chauhan, Nirmala Sawan Jan 2007

Auxiliary Information And A Priori Values In Construction Of Improved Estimators, Florentin Smarandache, Rajesh Singh, Pankaj Chauhan, Nirmala Sawan

Branch Mathematics and Statistics Faculty and Staff Publications

This volume is a collection of six papers on the use of auxiliary information and a priori values in construction of improved estimators. The work included here will be of immense application for researchers and students who employ auxiliary information in any form. Below we discuss each paper: 1. Ratio estimators in simple random sampling using information on auxiliary attribute. Prior knowledge about population mean along with coefficient of variation of the population of an auxiliary variable is known to be very useful particularly when the ratio, product and regression estimators are used for estimation of population mean of a …


Collected Papers Vol. 1, Florentin Smarandache Jan 2007

Collected Papers Vol. 1, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.


A Functional Calculus In A Non Commutative Setting, Fabrizio Colombo, Graziano Gentili, Irene Sabadini, Daniele C. Struppa Jan 2007

A Functional Calculus In A Non Commutative Setting, Fabrizio Colombo, Graziano Gentili, Irene Sabadini, Daniele C. Struppa

Mathematics, Physics, and Computer Science Faculty Articles and Research

In this paper we announce the development of a functional calculus for operators defined on quaternionic Banach spaces. The definition is based on a new notion of slice regularity, see [6], and the key tools are a new resolvent operator and a new eigenvalue problem. This approach allows us to deal both with bounded and unbounded operators.


Composition Operators With Maximal Norm On Weighted Bergman Spaces, Brent J. Carswell, Christopher Hammond Sep 2006

Composition Operators With Maximal Norm On Weighted Bergman Spaces, Brent J. Carswell, Christopher Hammond

Mathematics Faculty Publications

We prove that any composition operator with maximal norm on one of the weighted Bergman spaces is induced by a disk automorphism or a map that fixes the origin. This result demonstrates a major difference between the weighted Bergman spaces and the Hardy space H2, where every inner function induces a composition operator with maximal norm.


François Viète, Between Analysis And Cryptanalysis, Marco Panza Jun 2006

François Viète, Between Analysis And Cryptanalysis, Marco Panza

MPP Published Research

François Viète is considered the father both of modern algebra and of modern cryptanalysis. The paper outlines Viète's major contributions in these two mathematical fields and argues that, despite an obvious parallel between them, there is an essential difference. Viète's 'new algebra' relies on his reform of the classical method of analysis and synthesis, in particular on a new conception of analysis and the introduction of a new formalism. The procedures he suggests to decrypt coded messages are particular forms of analysis based on the use of formal methods. However, Viète's algebraic analysis is not an analysis in the same …


The Elementary Theory Of Normed Linear Spaces And Linear Functionals, Suresh Eswarthasan May 2006

The Elementary Theory Of Normed Linear Spaces And Linear Functionals, Suresh Eswarthasan

Renée Crown University Honors Thesis Projects - All

Abstract not Included


Notes For Mat 7500 – Winter '93, Revised Winter '06, David Handel Jan 2006

Notes For Mat 7500 – Winter '93, Revised Winter '06, David Handel

Mathematics Faculty Research Publications

These notes developed from a one semester course at Wayne State University, taught several times in the last three decades of the 1900s. The subject matter is analysis on manifolds, consisting of the theory of smooth manifolds, differential forms, integration of forms, the generalized Stokes' Theorem, de Rham cohomology, and some related topics. The course is intended for first or second year graduate students in Mathematics with a background in Advanced Calculus, General Topology, linear algebra (including quotient spaces), and a little elementary group theory (including some familiarity with the symmetric groups). Given the above background, the notes are self-contained. …


The Formal Laplace-Borel Transform Of Fliess Operators And The Composition Product, Yaqin Li, W. Steven Gray Jan 2006

The Formal Laplace-Borel Transform Of Fliess Operators And The Composition Product, Yaqin Li, W. Steven Gray

Electrical & Computer Engineering Faculty Publications

The formal Laplace-Borel transform of an analytic integral operator, known as a Fliess operator, is defined and developed. Then, in conjunction with the composition product over formal power series, the formal Laplace-Borel transform is shown to provide an isomorphism between the semigroup of all Fliess operators under operator composition and the semigroup of all locally convergent formal power series under the composition product. Finally, the formal Laplace-Borel transform is applied in a systems theory setting to explicitly derive the relationship between the formal Laplace transform of the input and output functions of a Fliess operator. This gives a compact interpretation …


Fuzzy Interval Matrices, Neutrosophic Interval Matrices And Their Applications, Florentin Smarandache, W.B. Vasantha Kandasamy Jan 2006

Fuzzy Interval Matrices, Neutrosophic Interval Matrices And Their Applications, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

The new concept of fuzzy interval matrices has been introduced in this book for the first time. The authors have not only introduced the notion of fuzzy interval matrices, interval neutrosophic matrices and fuzzy neutrosophic interval matrices but have also demonstrated some of its applications when the data under study is an unsupervised one and when several experts analyze the problem. Further, the authors have introduced in this book multiexpert models using these three new types of interval matrices. The new multi expert models dealt in this book are FCIMs, FRIMs, FCInMs, FRInMs, IBAMs, IBBAMs, nIBAMs, FAIMs, FAnIMS, etc. Illustrative …


Some Neutrosophic Algebraic Structures And Neutrosophic N-Algebraic Structures, Florentin Smarandache, W.B. Vasantha Kandasamy Jan 2006

Some Neutrosophic Algebraic Structures And Neutrosophic N-Algebraic Structures, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

In this book, for the first time we introduce the notion of neutrosophic algebraic structures for groups, loops, semigroups and groupoids and also their neutrosophic N-algebraic structures. One is fully aware of the fact that many classical theorems like Lagrange, Sylow and Cauchy have been studied only in the context of finite groups. Here we try to shift the paradigm by studying and introducing these theorems to neutrosophic semigroups, neutrosophic groupoids, and neutrosophic loops. We have intentionally not given several theorems for semigroups and groupoid but have given several results with proof mainly in the case of neutrosophic loops, biloops …


The Convergence Of V-Cycle Multigrid Algorithms For Axisymmetric Laplace And Maxwell Equations, Jay Gopalakrishnan, Joseph E. Pasciak Jan 2006

The Convergence Of V-Cycle Multigrid Algorithms For Axisymmetric Laplace And Maxwell Equations, Jay Gopalakrishnan, Joseph E. Pasciak

Mathematics and Statistics Faculty Publications and Presentations

We investigate some simple finite element discretizations for the axisymmetric Laplace equation and the azimuthal component of the axisymmetric Maxwell equations as well as multigrid algorithms for these discretizations. Our analysis is targeted at simple model problems and our main result is that the standard V-cycle with point smoothing converges at a rate independent of the number of unknowns. This is contrary to suggestions in the existing literature that line relaxations and semicoarsening are needed in multigrid algorithms to overcome difficulties caused by the singularities in the axisymmetric Maxwell problems. Our multigrid analysis proceeds by applying the well known regularity …


Isolation And Component Structure In Spaces Of Composition Operators, Christopher Hammond, Barbara D. Maccluer Oct 2005

Isolation And Component Structure In Spaces Of Composition Operators, Christopher Hammond, Barbara D. Maccluer

Mathematics Faculty Publications

We establish a condition that guarantees isolation in the space of composition operators acting between H p (B N ) and H q (B N ), for 0 < p ≤ ∞, 0 < q < ∞, and N ≥ 1. This result will allow us, in certain cases where 0 < q < p ≤ ∞, completely to characterize the component structure of this space of operators.


Remarks On Risk-Sensitive Control Problems, José Luis Menaldi, Maurice Robin Oct 2005

Remarks On Risk-Sensitive Control Problems, José Luis Menaldi, Maurice Robin

Mathematics Faculty Research Publications

The main purpose of this paper is to investigate the asymptotic behavior of the discounted risk-sensitive control problem for periodic diffusion processes when the discount factor α goes to zero. If uα(θ, x) denotes the optimal cost function, being the risk factor, then it is shown that limα→0αuα(θ, x) = ξ(θ) where ξ(θ) is the average on ]0, θ[ of the optimal cost of the (usual) in nite horizon risk-sensitive control problem.


Subdifferential Calculus In Asplund Generated Spaces, Marian Fabian, Philip D. Loewen, Boris S. Mordukhovich Jul 2005

Subdifferential Calculus In Asplund Generated Spaces, Marian Fabian, Philip D. Loewen, Boris S. Mordukhovich

Mathematics Research Reports

We extend the definition of the limiting Frechet subdifferential and the limiting Frechet normal cone from Asplund spaces to Asplund generated spaces. Then we prove a sum rule, a mean value theorem, and other statements for this concept.


The Norm Of A Composition Operator With Linear Symbol Acting On The Dirichlet Space, Christopher Hammond Mar 2005

The Norm Of A Composition Operator With Linear Symbol Acting On The Dirichlet Space, Christopher Hammond

Mathematics Faculty Publications

We obtain a representation for the norm of a composition operator on the Dirichlet space induced by a map of the form φ(z)=az+b. We compare this result to an upper bound for ‖Cφ‖ that is valid whenever φ is univalent. Our work relies heavily on an adjoint formula recently discovered by Gallardo-Gutiérrez and Montes-Rodríguez.