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Articles 1 - 30 of 102
Full-Text Articles in Other Mathematics
Model Spaces: A Survey, William T. Ross, Stephan Ramon Garcia
Model Spaces: A Survey, William T. Ross, Stephan Ramon Garcia
Department of Math & Statistics Faculty Publications
This is a brief and gentle introduction, aimed at graduate students, to the subject of model subspaces of the Hardy space.
On The Exact Distribution Of The Maximum Of The Exponential Of The Generalized Normal-Inverse Gaussian Process With Respect To A Martingale Measure, Roman V Ivanov
Communications on Stochastic Analysis
No abstract provided.
Local Time Of A Multifractional Gaussian Process, Aissa Sghir
Local Time Of A Multifractional Gaussian Process, Aissa Sghir
Communications on Stochastic Analysis
No abstract provided.
Generalization Of The Anticipative Girsanov Theorem, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda
Generalization Of The Anticipative Girsanov Theorem, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda
Communications on Stochastic Analysis
No abstract provided.
Vertical Martingales, Stochastic Calculus And Harmonic Sections, Simão N Stelmastchuk
Vertical Martingales, Stochastic Calculus And Harmonic Sections, Simão N Stelmastchuk
Communications on Stochastic Analysis
No abstract provided.
Analytically Weak Solutions To Linear Spdes With Unbounded Time-Dependent Differential Operators And An Application, Benedict Baur, Martin Grothaus, Thanh Tan Mai
Analytically Weak Solutions To Linear Spdes With Unbounded Time-Dependent Differential Operators And An Application, Benedict Baur, Martin Grothaus, Thanh Tan Mai
Communications on Stochastic Analysis
No abstract provided.
Mathematical Model Of Heavy Diffusion Particles System With Drift, Vitalii Konarovskyi
Mathematical Model Of Heavy Diffusion Particles System With Drift, Vitalii Konarovskyi
Communications on Stochastic Analysis
No abstract provided.
A New Type Of Reflected Backward Doubly Stochastic Differential Equations, Auguste Aman, Yong Ren
A New Type Of Reflected Backward Doubly Stochastic Differential Equations, Auguste Aman, Yong Ren
Communications on Stochastic Analysis
No abstract provided.
Random Search Models Of Foraging Behavior: Theory, Simulation, And Observation., Ben C. Nolting
Random Search Models Of Foraging Behavior: Theory, Simulation, And Observation., Ben C. Nolting
Department of Mathematics: Dissertations, Theses, and Student Research
Many organisms, from bacteria to primates, use stochastic movement patterns to find food. These movement patterns, known as search strategies, have recently be- come a focus of ecologists interested in identifying universal properties of optimal foraging behavior. In this dissertation, I describe three contributions to this field. First, I propose a way to extend Charnov's Marginal Value Theorem to the spatially explicit framework of stochastic search strategies. Next, I describe simulations that compare the efficiencies of sensory and memory-based composite search strategies, which involve switching between different behavioral modes. Finally, I explain a new behavioral analysis protocol for identifying the …
A Primer For Mathematical Modeling, Marla A. Sole
A Primer For Mathematical Modeling, Marla A. Sole
Publications and Research
With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school with the mathematics they will use outside of school. Instructors have found mathematical modeling difficult to teach. To successfully incorporate modeling activities I believe that curricular changes should be accompanied by professional development for curriculum developers, classroom teachers, and higher education professionals. This article serves as an introduction to modeling by …
A Clark-Ocone Type Formula Under Change Of Measure For Lévy Processes With L^2-Lévy Measure, Ryoichi Suzuki
A Clark-Ocone Type Formula Under Change Of Measure For Lévy Processes With L^2-Lévy Measure, Ryoichi Suzuki
Communications on Stochastic Analysis
No abstract provided.
Positive Harris Recurrence Of The Cir Process And Its Applications, Peng Jin, Vidyadhar Mandrekar, Barbara Rüdiger, Chiraz Trabelsi
Positive Harris Recurrence Of The Cir Process And Its Applications, Peng Jin, Vidyadhar Mandrekar, Barbara Rüdiger, Chiraz Trabelsi
Communications on Stochastic Analysis
No abstract provided.
Identities And Inequalities For Cdo Tranche Sensitivities, Claas Becker, Ambar N Sengupta
Identities And Inequalities For Cdo Tranche Sensitivities, Claas Becker, Ambar N Sengupta
Communications on Stochastic Analysis
No abstract provided.
Stein's Method For Brownian Approximations, L Coutin, L Decreusefond
Stein's Method For Brownian Approximations, L Coutin, L Decreusefond
Communications on Stochastic Analysis
No abstract provided.
The Generalized Sub-Fractional Brownian Motion, Aissa Sghir
The Generalized Sub-Fractional Brownian Motion, Aissa Sghir
Communications on Stochastic Analysis
No abstract provided.
A Bochner-Type Representation Of Positive Definite Mappings On The Dual Of A Compact Group, Herbert Heyer
A Bochner-Type Representation Of Positive Definite Mappings On The Dual Of A Compact Group, Herbert Heyer
Communications on Stochastic Analysis
No abstract provided.
Itô Formula And Girsanov Theorem For Anticipating Stochastic Integrals, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda
Itô Formula And Girsanov Theorem For Anticipating Stochastic Integrals, Hui-Hsiung Kuo, Yun Peng, Benedykt Szozda
Communications on Stochastic Analysis
No abstract provided.
On Optimal Proportional Reinsurance And Investment In A Partial Markovian Regime-Switching Economy, Xin Zhang
On Optimal Proportional Reinsurance And Investment In A Partial Markovian Regime-Switching Economy, Xin Zhang
Communications on Stochastic Analysis
No abstract provided.
A Bayesian Model For Cluster Detection, Jonathan Wakefield, Albert Y. Kim
A Bayesian Model For Cluster Detection, Jonathan Wakefield, Albert Y. Kim
Statistical and Data Sciences: Faculty Publications
The detection of areas in which the risk of a particular disease is significantly elevated, leading to an excess of cases, is an important enterprise in spatial epidemiology. Various frequentist approaches have been suggested for the detection of “clusters” within a hypothesis testing framework. Unfortunately, these suffer from a number of drawbacks including the difficulty in specifying a p-value threshold at which to call significance, the inherent multiplicity problem, and the possibility of multiple clusters. In this paper, we suggest a Bayesian approach to detecting “areas of clustering” in which the study region is partitioned into, possibly multiple, “zones” …
Examples Where The Conjunctive And Dempster’S Rules Are Insensitive, Florentin Smarandache, Jean Dezert, Valeri Kroumov
Examples Where The Conjunctive And Dempster’S Rules Are Insensitive, Florentin Smarandache, Jean Dezert, Valeri Kroumov
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper we present several counter-examples to the Conjunctive rule and to Dempster rule of combinations in information fusion.
Elementary Teacher Candidates' Images Of Mathematics, Diverse Students, And Teaching: An Exploratory Study With Implications For Culturally Responsive Mathematics Education, Bernd Richard Ferner
Elementary Teacher Candidates' Images Of Mathematics, Diverse Students, And Teaching: An Exploratory Study With Implications For Culturally Responsive Mathematics Education, Bernd Richard Ferner
Dissertations and Theses
Children from many culturally diverse backgrounds do not achieve in mathematics at the same rates as their counterparts from the dominant White, European-American culture (Gay, 2010). This so-called achievement gap is an artifact of an educational system that continues to fail to provide equal learning opportunities to culturally diverse children (Ladson-Billings, 2006; Nieto & Bode, 2011). Teachers who employ culturally responsive teaching (Gay, 2010) may help to close this opportunity gap and hence, the achievement gap. This study investigated, "How do elementary teacher candidates perceive teaching mathematics in a multicultural environment"; Using a critical constructivism research paradigm, this qualitative instrumental …
Field Control Of The Surface Electroclinic Effect In Liquid Crystal Displays, Dana Hipolite
Field Control Of The Surface Electroclinic Effect In Liquid Crystal Displays, Dana Hipolite
Physics
Liquid crystals (LCs) are a fascinating class of materials exhibiting a range of phases intermediate between liquid and crystalline. Smectic LCs consist of elongated molecules arranged in a periodic stack (along z) of liquid like layers. In the smectic-A (Sm-A) phase, the average molecular long axis (director) points along z. In the smectic-C (Sm-C) phase, it is tilted relative to z, thus picking out a special direction within the layers. Typically, the Sm-A* to Sm- C* transition will occur as temperature is decreased. In chiral smectics (Sm-*A or Sm-C*) it is possible to induce director titling (i.e. the Sm-C* phase) …
Development And Application Of Difference And Fractional Calculus On Discrete Time Scales, Tanner J. Auch
Development And Application Of Difference And Fractional Calculus On Discrete Time Scales, Tanner J. Auch
Department of Mathematics: Dissertations, Theses, and Student Research
The purpose of this dissertation is to develop and apply results of both discrete calculus and discrete fractional calculus to further develop results on various discrete time scales. Two main goals of discrete and fractional discrete calculus are to extend results from traditional calculus and to unify results on the real line with those on a variety of subsets of the real line. Of particular interest is introducing and analyzing results related to a generalized fractional boundary value problem with Lidstone boundary conditions on a standard discrete domain N_a. We also introduce new results regarding exponential order for functions on …
A Math Therapy Exercise, Gary Stogsdill
A Math Therapy Exercise, Gary Stogsdill
Journal of Humanistic Mathematics
Math anxiety prevents many liberal arts undergraduates from appreciating mathematics and realizing their potential in math courses and math-related endeavors. The author describes his development and use of a "math therapy exercise" that enables students to move beyond the paralyzing grip of math anxiety and cultivate a more positive relationship with mathematics.
A Parabolic Equation Analysis Of The Underwater Noise Radiated By Impact Pile Driving, Nathan Laws
A Parabolic Equation Analysis Of The Underwater Noise Radiated By Impact Pile Driving, Nathan Laws
Dissertations and Theses
Impact pile driving can produce extremely high underwater sound levels, which are of increasing environmental concern due to their deleterious effects on marine wildlife. Prediction of underwater sound levels is important to the assessment and mitigation of the environmental impacts caused by pile driving. Current prediction methods are limited and do not account for the dynamic pile driving source, inhomogeneities in bathymetry and sediment, or physics-based sound wave propagation.
In this thesis, a computational model is presented that analyzes and predicts the underwater noise radiated by pile driving and is suitable for shallow, inhomogeneous environments and long propagation ranges. The …
Generalized Finite-Difference Time-Domain Schemes For Solving Nonlinear Schrödinger Equations, Frederick Ira Moxley Iii
Generalized Finite-Difference Time-Domain Schemes For Solving Nonlinear Schrödinger Equations, Frederick Ira Moxley Iii
Doctoral Dissertations
The nonlinear Schrödinger equation (NLSE) is one of the most widely applicable equations in physical science, and characterizes nonlinear dispersive waves, optics, water waves, and the dynamics of molecules. The NLSE satisfies many mathematical conservation laws. Moreover, due to the nonlinearity, the NLSE often requires a numerical solution, which also satisfies the conservation laws. Some of the more popular numerical methods for solving the NLSE include the finite difference, finite element, and spectral methods such as the pseudospectral, split-step with Fourier transform, and integrating factor coupled with a Fourier transform. With regard to the finite difference and finite element methods, …
Hilbert Space Theory And Applications In Basic Quantum Mechanics, Matthew Gagne
Hilbert Space Theory And Applications In Basic Quantum Mechanics, Matthew Gagne
Mathematics
We explore the basic mathematical physics of quantum mechanics. Our primary focus will be on Hilbert space theory and applications as well as the theory of linear operators on Hilbert space. We show how Hermitian operators are used to represent quantum observables and investigate the spectrum of various linear operators. We discuss deviation and uncertainty and briefly suggest how symmetry and representations are involved in quantum theory.
Partially Gaussian Stationary Stochastic Processes In Discrete Time, K R Parthasarathy
Partially Gaussian Stationary Stochastic Processes In Discrete Time, K R Parthasarathy
Communications on Stochastic Analysis
No abstract provided.
A Converse Comparison Theorem For Discrete-Time Finite-State Bsdes And Risk Measures Using G-Expectation, Robert Elliott, Yin Lin, Hailiang Yang
A Converse Comparison Theorem For Discrete-Time Finite-State Bsdes And Risk Measures Using G-Expectation, Robert Elliott, Yin Lin, Hailiang Yang
Communications on Stochastic Analysis
No abstract provided.
Fluctuation Properties Of Compound Poisson-Erlang Lévy Processes, Richard B Paris, Vladimir Vinogradov
Fluctuation Properties Of Compound Poisson-Erlang Lévy Processes, Richard B Paris, Vladimir Vinogradov
Communications on Stochastic Analysis
No abstract provided.