Fully Nonlinear Boundary Value Problems With Impulse,
2015
University of Dayton
Fully Nonlinear Boundary Value Problems With Impulse, Paul Eloe, Muhammad Usman
Muhammad Usman
An impulsive boundary value problem with nonlinear boundary conditions for a second order ordinary differential equation is studied. In particular, sufficient conditions are provided so that a compression- expansion cone theoretic fixed point theorem can be applied to imply the existence of positive solutions. The nonlinear forcing term is assumed to satisfy usual sublinear or superlinear growth as t → ∞ or t → 0 +. The nonlinear impulse terms and the nonlinear boundary terms are assumed to satisfy the analogous asymptotic behavior.
Lai’S Conditions For Spanning And Dominating Closed Trails,
2015
Butler University
Lai’S Conditions For Spanning And Dominating Closed Trails, Wei-Guo Chen, Zhi-Hong Chen, Mei Lu
Scholarship and Professional Work - LAS
No abstract provided.
Sandpiles, Spanning Trees, And Plane Duality,
2015
Gettysburg College
Sandpiles, Spanning Trees, And Plane Duality, Melody Chan, Darren B. Glass, Matthew Macauley, David Perkinson, Caryn Werner, Qiaoyu Yang
Math Faculty Publications
Let G be a connected, loopless multigraph. The sandpile group of G is a finite abelian group associated to G whose order is equal to the number of spanning trees in G. Holroyd et al. used a dynamical process on graphs called rotor-routing to define a simply transitive action of the sandpile group of G on its set of spanning trees. Their definition depends on two pieces of auxiliary data: a choice of a ribbon graph structure on G, and a choice of a root vertex. Chan, Church, and Grochow showed that if G is a planar ribbon graph, it …
Integrating Data Transformation In Principal Components Analysis,
2015
Marquette University
Integrating Data Transformation In Principal Components Analysis, Mehdi Maadooliat, Jianhua Z. Huang, Jianhua Hu
Mathematics, Statistics and Computer Science Faculty Research and Publications
Principal component analysis (PCA) is a popular dimension-reduction method to reduce the complexity and obtain the informative aspects of high-dimensional datasets. When the data distribution is skewed, data transformation is commonly used prior to applying PCA. Such transformation is usually obtained from previous studies, prior knowledge, or trial-and-error. In this work, we develop a model-based method that integrates data transformation in PCA and finds an appropriate data transformation using the maximum profile likelihood. Extensions of the method to handle functional data and missing values are also developed. Several numerical algorithms are provided for efficient computation. The proposed method is illustrated …
Comparing The G-Normal Distribution To Its Classical Counterpart,
2015
Louisiana State University
Comparing The G-Normal Distribution To Its Classical Counterpart, Erhan Bayraktar, Alexander Munk
Communications on Stochastic Analysis
No abstract provided.
Convergence Of Scheme For Decoupled Forward Backward Stochastic Differential Equation,
2015
Louisiana State University
Convergence Of Scheme For Decoupled Forward Backward Stochastic Differential Equation, Hani Abidi, Habib Ouerdiane
Communications on Stochastic Analysis
No abstract provided.
Branching Particle Systems And Compound Poisson Processes Related To Pólya-Aeppli Distributions,
2015
Louisiana State University
Branching Particle Systems And Compound Poisson Processes Related To Pólya-Aeppli Distributions, Richard B Paris, Vladimir Vinogradov
Communications on Stochastic Analysis
No abstract provided.
On A Nonsymmetric Ornstein-Uhlenbeck Semigroup And Its Generator,
2015
Louisiana State University
On A Nonsymmetric Ornstein-Uhlenbeck Semigroup And Its Generator, Yong Chen
Communications on Stochastic Analysis
No abstract provided.
Mathematical Formulation Of An Optimal Execution Problem With Uncertain Market Impact,
2015
Louisiana State University
Mathematical Formulation Of An Optimal Execution Problem With Uncertain Market Impact, Kensuke Ishitani, Takashi Kato
Communications on Stochastic Analysis
No abstract provided.
Existence Of Lévy's Area And Pathwise Integration,
2015
Louisiana State University
Existence Of Lévy's Area And Pathwise Integration, Peter Imkeller, David J Prömel
Communications on Stochastic Analysis
No abstract provided.
Hitting Times For Bessel Processes,
2015
Louisiana State University
Hitting Times For Bessel Processes, Gerardo Hernández-Del-Valle, Carlos G Pacheco
Communications on Stochastic Analysis
No abstract provided.
Analysing Systemic Risk Contribution Using A Closed Formula For Conditional Value At Risk Through Copula,
2015
Louisiana State University
Analysing Systemic Risk Contribution Using A Closed Formula For Conditional Value At Risk Through Copula, Brice Hakwa, Manfred Jäger-Ambrożewicz, Barbara Rüdiger
Communications on Stochastic Analysis
No abstract provided.
Scattering Of Motion On A Half-Infinite Quantum Graph Tube,
2015
Louisiana State University
Scattering Of Motion On A Half-Infinite Quantum Graph Tube, Jeremy Tillay
Honors Theses
No abstract provided.
Mirror Symmetry For Log Calabi-Yau Surfaces I,
2015
University of Massachusetts - Amherst
Mirror Symmetry For Log Calabi-Yau Surfaces I, Mark Gross, Paul Hacking, Sean Keel
Paul Hacking
We give a cononical sythetic construction of the mirror family to pairs (Y,D) where Y is a smooth projective surface and D is an anti-canonical cycle of rational curves. This mirror family is constructed as the spectrum of an explicit algebra structure on a vector space with canonical basis and multiplication rule defined in terms of counts of rational curves on Y meeting D in a single point. The elements of the canonical basis are called theta functions. Their construction depends crucially on the Gromov-Witten theory of the pair (Y,D)
Highly Nonlinear Wave Propagation In Elastic Woodpile Periodic Structures,
2015
UMass, Amherst
Highly Nonlinear Wave Propagation In Elastic Woodpile Periodic Structures, Panos Kevrekidis
Panos Kevrekidis
In the present work, we experimentally implement, numerically compute with, and theoretically analyze a configuration in the form of a single column woodpile periodic structure. Our main finding is that a Hertzian, locally resonant, woodpile lattice offers a test bed for the formation of genuinely traveling waves composed of a strongly localized solitary wave on top of a small amplitude oscillatory tail. This type of wave, called a nanopteron, is not only motivated theoretically and numerically, but is also visualized experimentally by means of a laser Doppler vibrometer. This system can also be useful for manipulating stress waves at will, …
Why It Is Important To Precisiate Goals,
2015
The University of Texas at El Paso
Why It Is Important To Precisiate Goals, Olga Kosheleva, Vladik Kreinovich, Hung T. Nguyen
Departmental Technical Reports (CS)
After Zadeh and Bellman explained how to optimize a function under fuzzy constraints, there have been many successful applications of this optimization. However, in many practical situations, it turns out to be more efficient to precisiate the objective function before performing optimization. In this paper, we provide a possible explanation for this empirical fact.
Ogden College Of Science & Engineering Newsletter (Spring 2015),
2015
Western Kentucky University
Ogden College Of Science & Engineering Newsletter (Spring 2015), Cheryl Stevens, Dean
Ogden College of Science & Engineering Publications
No abstract provided.
Open And Dense Topological Transitivity Of Extensions By Non-Compact Fiber Of Hyperbolic Systems: A Review,
2015
West Chester University of Pennsylvania
Open And Dense Topological Transitivity Of Extensions By Non-Compact Fiber Of Hyperbolic Systems: A Review, Viorel Nitica, Andrei Török
Mathematics Faculty Publications
Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various authors are quite diverse and are strongly related to the class of dynamical systems under consideration. The goal of this review article is to present the state of the art for the class of Hölder extensions of hyperbolic systems with non-compact connected Lie group fiber. The hyperbolic systems we consider are mostly discrete time. In particular, we address the stability and genericity …
Geometrization Conditions For Perfect Fluids, Scalar Fields, And Electromagnetic Fields,
2015
Utah State University
Geometrization Conditions For Perfect Fluids, Scalar Fields, And Electromagnetic Fields, Charles G. Torre, Dionisios Krongos
Presentations and Publications
Rainich-type conditions giving a spacetime “geometrization” of matter fields in general relativity are reviewed and extended. Three types of matter are considered: perfect fluids, scalar fields, and elec- tromagnetic fields. Necessary and sufficient conditions on a spacetime metric for it to be part of a perfect fluid solution of the Einstein equa- tions are given. Formulas for constructing the fluid from the metric are obtained. All fluid results hold for any spacetime dimension. Ge- ometric conditions on a metric which are necessary and sufficient for it to define a solution of the Einstein-scalar field equations and for- mulas for constructing …
Cohen Factorizations: Weak Functoriality And Applications,
2015
Georgia Southern University
Cohen Factorizations: Weak Functoriality And Applications, Saeed Nasseh, Sean Sather-Wagstaff
Department of Mathematical Sciences Faculty Publications
We investigate Cohen factorizations of local ring homomorphisms from three perspectives. First, we prove a “weak functoriality” result for Cohen factorizations: certain morphisms of local ring homomorphisms induce morphisms of Cohen factorizations. Second, we use Cohen factorizations to study the properties of local ring homomorphisms (Gorenstein, Cohen–Macaulay, etc.) in certain commutative diagrams. Third, we use Cohen factorizations to investigate the structure of quasi-deformations of local rings, with an eye on the question of the behavior of CI-dimension in short exact sequences.
