Positive Solutions Of Singular Complementary Lidstone Boundary Value Problems,
2010
Florida Institute of Technology
Positive Solutions Of Singular Complementary Lidstone Boundary Value Problems, Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk
Mathematics and System Engineering Faculty Publications
We investigate the existence of positive solutions of singular problem (-1)mx(2m+1) = f(t, x,⋯, x(2m)), x (0) = 0, x(2i-1) (0) = x(2i-1) (T) = 0, 1 ≤ i ≤ m. Here, m ≥ 1 and the Carathéodory function f (t, x0,⋯, x2m) may be singular in all its space variables x0,⋯, x2m. The results are proved by regularization and sequential techniques. In limit processes, the Vitali convergence theorem is used.
Burkholder Integrals, Morrey's Problem And Quasiconformal Mappings,
2010
University of Helsinki
Burkholder Integrals, Morrey's Problem And Quasiconformal Mappings, Kari Astala, Tadeusz Iwaniec, Istvan Prause, Eero Saksman
Mathematics - All Scholarship
Inspired by Morrey's Problem (on rank-one convex functionals) and the Burkholder integrals (of his martingale theory) we find that the Burkholder functionals Bp, p > 2, are quasiconcave, when tested on deformations of identity f in Id+Coinifinty (omega) with Bp (Df(x)) > 0 pointwise, or equivalently, deformations such that abs[Df]2 < (p/(p-2))Jf. In particular, this holds in explicit neighbourhoods of the identity map. Among the many immediate consequences, this gives the strongest possible Lp-estimates for the gradient of a principal solution to the Beltrami equation fz = mu(z)fz , for any p in …
Feedback Control Of A Bioinspired Plate-Beam System,
2010
Missouri University of Science and Technology
Feedback Control Of A Bioinspired Plate-Beam System, Cody W. Ray, Belinda A. Batten, John R. Singler
Mathematics and Statistics Faculty Research & Creative Works
In this paper we present a model for a plate-beam system to represent a bioinspired flexible wing. Using a Galerkin based finite element approximation to the system, we compute functional gains that can be used for sensor placement and show that a piezoceramic actuator on the beam can be used for camber control
Completeness Of Ordered Fields,
2010
California Polytechnic State University, San Luis Obispo
Completeness Of Ordered Fields, James Forsythe Hall
Mathematics
The main goal of this project is to prove the equivalency of several characterizations of completeness of Archimedean ordered fields; some of which appear in most modern literature as theorems following from the Dedekind completeness of the real numbers, while a couple are not as well known and have to do with other areas of mathematics, such as nonstandard analysis. Continuing, we study the completeness of non-Archimedean fields, and provide several examples of such fields with varying degrees of properties, using nonstandard analysis to produce some relatively "nice" (in particular, they are Cantor complete) final examples. As a small detour, …
The Gini Index And Measures Of Inequality,
2010
Santa Clara University
The Gini Index And Measures Of Inequality, Frank A. Farris
Mathematics and Computer Science
The Gini index is a summary statistic that measures how fairly a resource is distributed in a population; income is a primary example. In addition to a self-contained presentation of the Gini index, we give two equivalent ways to interpret this summary statistic: first in terms of the percentile level of the person who earns the average dollar, and second in terms of how the lower of two randomly chosen incomes compares, on average, to mean income.
Sums Of Evenly Spaced Binomial Coefficients,
2010
Harvey Mudd College
Sums Of Evenly Spaced Binomial Coefficients, Arthur T. Benjamin, Bob Chen '10, Kimberly Kindred
All HMC Faculty Publications and Research
We provide a combinatorial proof of a formula for the sum of evenly spaced binomial coefficients. This identity, along with a generalization, are proved by counting weighted walks on a graph.
Closed-Range Composition Operators On A2 And The Bloch Space,
2010
University of Arkansas
Closed-Range Composition Operators On A2 And The Bloch Space, John R. Akeroyd, Pratibha G. Ghatage, Maria Tjani
Mathematics and Statistics Faculty Publications
For any analytic self-map φ of {z : |z| < 1} we give four separate conditions, each of which is necessary and sufficient for the composition operator Cφ to be closed-range on the Bloch space B . Among these conditions are some that appear in the literature, where we provide new proofs. We further show that if Cφ is closed-range on the Bergman space A2 , then it is closed-range on B , but that the converse of this fails with a vengeance. Our analysis involves an extension of the Julia-Carathéodory Theorem.
Markov Chains And Dynamical Systems: The Open System Point Of View,
2010
Louisiana State University
Markov Chains And Dynamical Systems: The Open System Point Of View, Stéphane Attal
Communications on Stochastic Analysis
No abstract provided.
Transformation Of Quantum Lévy Processes On Hopf Algebras,
2010
Louisiana State University
Transformation Of Quantum Lévy Processes On Hopf Algebras, Michael Schürmann, Michael Skeide, Silvia Volkwardt
Communications on Stochastic Analysis
No abstract provided.
Characterization Of Unitary Processes With Independent Increments,
2010
Louisiana State University
Characterization Of Unitary Processes With Independent Increments, Un Cig Ji, Lingaraj Sahu, Kalyan B Sinha
Communications on Stochastic Analysis
No abstract provided.
How To Differentiate A Quantum Stochastic Cocycle,
2010
Louisiana State University
How To Differentiate A Quantum Stochastic Cocycle, J Martin Lindsay
Communications on Stochastic Analysis
No abstract provided.
Preface,
2010
Louisiana State University
Robin Hudson's Pathless Path To Quantum Stochastic Calculus,
2010
Louisiana State University
Robin Hudson's Pathless Path To Quantum Stochastic Calculus, David Applebaum
Communications on Stochastic Analysis
No abstract provided.
Quantum Filtering In Coherent States,
2010
Louisiana State University
Quantum Filtering In Coherent States, John E Gough, Claus Köstler
Communications on Stochastic Analysis
No abstract provided.
Quantum Quasi-Markov Processes, L-Dynamics, And Noncommutative Girsanov Transformation,
2010
Louisiana State University
Quantum Quasi-Markov Processes, L-Dynamics, And Noncommutative Girsanov Transformation, V P Belavkin
Communications on Stochastic Analysis
No abstract provided.
On The Characteristic Function Of Random Variables Associated With Boson Lie Algebras,
2010
Università degli Studi di Roma Tor Vergata
On The Characteristic Function Of Random Variables Associated With Boson Lie Algebras, Luigi Accardi, Andreas Boukas
Communications on Stochastic Analysis
No abstract provided.
The K-Cores Of A Graph,
2010
Western Michigan University
The K-Cores Of A Graph, Allan Bickle
Dissertations
Full abstract attached as supplemental file.
Robust Interval Estimation Of A Treatment Effect In Observational Studies Using Propensity Score Matching,
2010
Western Michigan University
Robust Interval Estimation Of A Treatment Effect In Observational Studies Using Propensity Score Matching, Scott F. Kosten
Dissertations
Estimating the treatment effect between a treatment group and a control group in an observational study is a challenging problem in statistics. Without random assignment of subjects, there are likely to be differences between the treatment group and control group on a set of baseline covariates. If one of these baseline covariates is correlated to the response variable, then the difference in sample means between the groups is likely to be a biased estimate of the true treatment effect.
Propensity score matching has become an increasingly popular strategy for reducing bias in estimates of the treatment effect. This reduction in …
Cosine And Gaussian Transforms,
2010
Louisiana State University
Cosine And Gaussian Transforms, Carlos Lizama, Rolando Rebolledo
Communications on Stochastic Analysis
No abstract provided.
E-Semigroups Subordinate To Ccr Flows,
2010
Louisiana State University
E-Semigroups Subordinate To Ccr Flows, Stephen J Wills
Communications on Stochastic Analysis
No abstract provided.
