On The Non-Classical Infinite Divisibility Of Power Semicircle Distributions,
2010
Louisiana State University
On The Non-Classical Infinite Divisibility Of Power Semicircle Distributions, Octavio Arizmendi, Victor Pérez-Abreu
Communications on Stochastic Analysis
No abstract provided.
Stochastic Magneto-Hydrodynamic System Perturbed By General Noise,
2010
Louisiana State University
Stochastic Magneto-Hydrodynamic System Perturbed By General Noise, P Sundar
Communications on Stochastic Analysis
No abstract provided.
What Is A Gaussian State?,
2010
Louisiana State University
What Is A Gaussian State?, K R Parthasarathy
Communications on Stochastic Analysis
No abstract provided.
A Stochastic Finite Element Method For Stochastic Parabolic Equations Driven By Purely Spatial Noise,
2010
Louisiana State University
A Stochastic Finite Element Method For Stochastic Parabolic Equations Driven By Purely Spatial Noise, Chia Ying Lee, Boris Rozovskii
Communications on Stochastic Analysis
No abstract provided.
Wavelet Transform Of Fractional Integrals For Integrable Boehmians,
2010
J. N. V. University
Wavelet Transform Of Fractional Integrals For Integrable Boehmians, Deshna Loonker, P. K. Banerji, S. L. Kalla
Applications and Applied Mathematics: An International Journal (AAM)
The present paper deals with the wavelet transform of fractional integral operator (the Riemann- Liouville operators) on Boehmian spaces. By virtue of the existing relation between the wavelet transform and the Fourier transform, we obtained integrable Boehmians defined on the Boehmian space for the wavelet transform of fractional integrals.
Convergence Of The Sinc Method Applied To Volterra Integral Equations,
2010
University of Mohaghegh Ardabili
Convergence Of The Sinc Method Applied To Volterra Integral Equations, M. Zarebnia, J. Rashidinia
Applications and Applied Mathematics: An International Journal (AAM)
A collocation procedure is developed for the linear and nonlinear Volterra integral equations, using the globally defined Sinc and auxiliary basis functions. We analytically show the exponential convergence of the Sinc collocation method for approximate solution of Volterra integral equations. Numerical examples are included to confirm applicability and justify rapid convergence of our method.
An Efficient Technique For Solving Special Integral Equations,
2010
University of Guilan
An Efficient Technique For Solving Special Integral Equations, Jafar Biazar, Mostafa Eslami
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we apply a new technique for solving two-dimensional integral equations of mixed type. Comparisons are made between the homotopy perturbation method and the new technique. The results reveal that the new technique is effective and convenient.
Noncommutative Topology And The World’S Simplest Index Theorem,
2010
Dartmouth College
Noncommutative Topology And The World’S Simplest Index Theorem, Erik Van Erp
Dartmouth Scholarship
In this article we outline an approach to index theory on the basis of methods of noncommutative topology. We start with an explicit index theorem for second-order differential operators on 3-manifolds that are Fredholm but not elliptic. This low-brow index formula is expressed in terms of winding numbers. We then proceed to show how it is derived as a special case of an index theorem for hypoelliptic operators on contact manifolds. Finally, we discuss the noncommutative topology that is employed in the proof of this theorem. The article is intended to illustrate that noncommutative topology can be a powerful tool …
Rao's Quadratic Entropy And Some New Applications,
2010
Old Dominion University
Rao's Quadratic Entropy And Some New Applications, Yueqin Zhao
Mathematics & Statistics Theses & Dissertations
Many problems in statistical inference are formulated as testing the diversity of populations. The entropy functions measure the similarity of a distribution function to the uniform distribution and hence can be used as a measure of diversity. Rao (1982a) proposed the concept of quadratic entropy. Its concavity property makes the decomposition similar to ANOVA for categorical data feasible. In this thesis, after reviewing the properties and providing a modification to quadratic entropy, various applications of quadratic entropy are explored. First, analysis of quadratic entropy with the suggested modification to analyze the contingency table data is explored. Then its application to …
Preface,
2010
Louisiana State University
On The Existence Of Weak Variational Solutions To Stochastic Differential Equations,
2010
Louisiana State University
On The Existence Of Weak Variational Solutions To Stochastic Differential Equations, L Gawarecki, V Mandrekar
Communications on Stochastic Analysis
No abstract provided.
Some Solvable Classes Of Filtering Problem With Ornstein-Uhlenbeck Noise,
2010
Louisiana State University
Some Solvable Classes Of Filtering Problem With Ornstein-Uhlenbeck Noise, Zhicheng Liu, Jie Xiong
Communications on Stochastic Analysis
No abstract provided.
Commutativity Properties Of Conditional Distributions And Palm Measures,
2010
Louisiana State University
Commutativity Properties Of Conditional Distributions And Palm Measures, Olav Kallenberg
Communications on Stochastic Analysis
No abstract provided.
Some Asymptotic Results For Near Critical Branching Processes,
2010
Louisiana State University
Some Asymptotic Results For Near Critical Branching Processes, Amarjit Budhiraja, Dominik Reinhold
Communications on Stochastic Analysis
No abstract provided.
Uniqueness Of Solution To The Kolmogorov Forward Equation: Applications To White Noise Theory Of Filtering,
2010
Louisiana State University
Uniqueness Of Solution To The Kolmogorov Forward Equation: Applications To White Noise Theory Of Filtering, Abhay G Bhatt, Rajeeva L Karandikar
Communications on Stochastic Analysis
No abstract provided.
Quasi-Exact Approximation Of Hidden Markov Chain Filters,
2010
Louisiana State University
Quasi-Exact Approximation Of Hidden Markov Chain Filters, Eckhard Platen, Renata Rendek
Communications on Stochastic Analysis
No abstract provided.
Inverse Stochastic Transfer Principle,
2010
Louisiana State University
Inverse Stochastic Transfer Principle, Matthew Linn, Anna Amirdjanova
Communications on Stochastic Analysis
No abstract provided.
Risk-Based Indifference Pricing Under A Stochastic Volatility Model,
2010
Louisiana State University
Risk-Based Indifference Pricing Under A Stochastic Volatility Model, Robert J Elliott, Tak Kuen Siu
Communications on Stochastic Analysis
No abstract provided.
Some New Classes Of Complex Symmetric Operators,
2010
Pomona College
Some New Classes Of Complex Symmetric Operators, Stephan Ramon Garcia, Warren R. Wogen
Pomona Faculty Publications and Research
We say that an operator $T \in B(H)$ is complex symmetric if there exists a conjugate-linear, isometric involution $C:H\to H$ so that $T = CT^*C$. We prove that binormal operators, operators that are algebraic of degree two (including all idempotents), and large classes of rank-one perturbations of normal operators are complex symmetric. From an abstract viewpoint, these results explain why the compressed shift and Volterra integration operator are complex symmetric. Finally, we attempt to describe all complex symmetric partial isometries, obtaining the sharpest possible statement given only the data $(\dim \ker T, \dim \ker T^*)$.
Mathematics In Motion: Linear Systems Of Differential Equations On The Differential Analyzer,
2010
Marshall University
Mathematics In Motion: Linear Systems Of Differential Equations On The Differential Analyzer, Devon A. Tivener
Theses, Dissertations and Capstones
In this work, I will provide an introduction to the dierential analyzer, a machine designed to solve dierential equations through a process called mechanical integration. I will give a brief historical account of dierential analyzers of the past, and discuss the Marshall University Dierential Analyzer Project. The goal of this work is to provide an analysis of solutions of systems of dierential equations using a dierential analyzer. In particular, we are interested in the points at which these systems are in equilibrium and the behavior of solutions that start away from equilibrium. After giving a description of linear systems of …
