Singular Ergodic Control For Multidimensional Gaussian-Poisson Processes,
2013
Wayne State University
Singular Ergodic Control For Multidimensional Gaussian-Poisson Processes, J. L. Menaldi, M. Robin
Mathematics Faculty Research Publications
Singular control for multidimensional Gaussian-Poisson processes with a long-run (or ergodic) and a discounted criteria are discussed. The dynamic programming yields the corresponding Hamilton-Jacobi-Bellman equations, which are discussed. Full details on the proofs and further extensions are left for coming works.
Schedule (2013),
2013
Taylor University
Schedule (2013), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2013
Nineteenth Conference of the Association of Christians in the Mathematical Sciences
Table Of Contents (2013),
2013
Taylor University
Table Of Contents (2013), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2013
Nineteenth Conference of the Association of Christians in the Mathematical Sciences
19th Conference Of The Associations Of Christians In The Mathematical Sciences,
2013
Taylor University
19th Conference Of The Associations Of Christians In The Mathematical Sciences, Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2013
Association of Christians in the Mathematical Sciences 19th Biennial Conference Proceedings, May 29 - June 1, 2011, Bethel University.
The Neural Ring: An Algebraic Tool For Analyzing
The Intrinsic Structure Of Neural Codes,
2013
University of Nebraska - Lincoln
The Neural Ring: An Algebraic Tool For Analyzing The Intrinsic Structure Of Neural Codes, Carina Curto, Vladimir Itskov, Alan Veliz-Cuba, Nora Youngs
Department of Mathematics: Faculty Publications
Neurons in the brain represent external stimuli via neural codes. These codes often arise from stereotyped stimulus-response maps, associating to each neuron a convex receptive field. An important problem confronted by the brain is to infer properties of a represented stimulus space without knowledge of the receptive fields, using only the intrinsic structure of the neural code. How does the brain do this? To address this question, it is important to determine what stimulus space features can - in principle - be extracted from neural codes. This motivates us to define the neural ring and a related neural ideal, …
Eradicating Malaria: Improving A Multiple-Timestep Optimization Model Of Malarial Intervention Policy,
2013
Scripps College
Eradicating Malaria: Improving A Multiple-Timestep Optimization Model Of Malarial Intervention Policy, Taryn M. Ohashi
Scripps Senior Theses
Malaria is a preventable and treatable blood-borne disease whose complications can be fatal. Although many interventions exist in order to reduce the impacts of malaria, the optimal method of distributing these interventions in a geographical area with limited resources must be determined. This thesis refines a model that uses an integer linear program and a compartmental model of epidemiology called an SIR model of ordinary differential equations. The objective of the model is to find an intervention strategy over multiple time steps and multiple geographic regions that minimizes the number of days people spend infected with malaria. In this paper, …
Stress Analysis Of Ramberg-Osgood And Hollomon 1-D Axial Rods,
2013
University of New Orleans
Stress Analysis Of Ramberg-Osgood And Hollomon 1-D Axial Rods, Ronald J. Giardina Jr
LSU New Orleans Theses and Dissertations
In this paper we present novel analytic and finite element solutions to 1-D straight rods made of Ramberg-Osgood and Hollomon type materials. These material models are studied because they are a more accurate representation of the material properties of certain metals used often in manufacturing than the simpler composite linear types of stress/strain models. Here, various types of loads are considered and solutions are compared against some linear models. It is shown that the nonlinear models do have manageable solutions, which produce important differences in the results - attributes which suggest that these models should take a more prominent place …
Peak-End Rule: A Utility-Based Explanation,
2013
The University of Texas at El Paso
Peak-End Rule: A Utility-Based Explanation, Olga Kosheleva, Martine Ceberio, Vladik Kreinovich
Departmental Technical Reports (CS)
In many practical situations, people judge their overall experience by only taking into account the peak and the last levels of pleasantness or unpleasantness. While this peak-end rule is empirically supported by numerous psychological experiments, it seems to contradict our general theoretical ideas about people's preferences. In this paper, we show that, contrary to this impression, the end-peak rule can be justified based on the main ideas of the traditional utility-based decision theory.
Analyzing And Solving Non-Linear Stochastic Dynamic Models On Non-Periodic Discrete Time Domains,
2013
Western Kentucky University
Analyzing And Solving Non-Linear Stochastic Dynamic Models On Non-Periodic Discrete Time Domains, Gang Cheng
Masters Theses & Specialist Projects
Stochastic dynamic programming is a recursive method for solving sequential or multistage decision problems. It helps economists and mathematicians construct and solve a huge variety of sequential decision making problems in stochastic cases. Research on stochastic dynamic programming is important and meaningful because stochastic dynamic programming reflects the behavior of the decision maker without risk aversion; i.e., decision making under uncertainty. In the solution process, it is extremely difficult to represent the existing or future state precisely since uncertainty is a state of having limited knowledge. Indeed, compared to the deterministic case, which is decision making under certainty, the stochastic …
Floquet Theory On Banach Space,
2013
Western Kentucky University
Floquet Theory On Banach Space, Fatimah Hassan Albasrawi
Masters Theses & Specialist Projects
In this thesis we study Floquet theory on a Banach space. We are concerned about the linear differential equation of the form: y'(t) = A(t)y(t), where t ∈ R, y(t) is a function with values in a Banach space X, and A(t) are linear, bounded operators on X. If the system is periodic, meaning A(t+ω) = A(t) for some period ω, then it is called a Floquet system. We will investigate the existence …
Minimizing Travel Time Through Multiple Media With Various Borders,
2013
Western Kentucky University
Minimizing Travel Time Through Multiple Media With Various Borders, Tonja Miick
Masters Theses & Specialist Projects
This thesis consists of two main chapters along with an introduction and
conclusion. In the introduction, we address the inspiration for the thesis, which
originates in a common calculus problem wherein travel time is minimized across two media separated by a single, straight boundary line. We then discuss the correlation of this problem with physics via Snells Law. The first core chapter takes this idea and develops it to include the concept of two media with a circular border. To make the problem easier to discuss, we talk about it in terms of running and swimming speeds. We first address …
Cooking Up The Optimal Baking Algorithm,
2013
Bethel University
Cooking Up The Optimal Baking Algorithm, Tony Burand, Michael Tetzlaff, Jacob Smith
Math and Computer Science Student Works
Many conventional rectangular baking pans have a problem in that they bake the corners of the batter faster than the rest of the pan. Circular baking pans eliminate this problem, but take up more space in the oven. We propose a solution that given weights for baking consistency and space efficiency based on the importance of each will provide the optimal baking pan shape. We have come up with an algorithm for sorting the pans of area A effectively and formed a model that describes the heat flow into the pan as well as the baking mix itself. The model …
Analysis Of Time-Dependent Integrodifference Population Models,
2013
Harvey Mudd College
Analysis Of Time-Dependent Integrodifference Population Models, Taylor J. Mcadam
HMC Senior Theses
The population dynamics of species with separate growth and dispersal stages can be described by a discrete-time, continuous-space integrodifference equation relating the population density at one time step to an integral expression involving the density at the previous time step. Prior research on this model has assumed that the equation governing the population dynamics remains fixed over time, however real environments are constantly in flux. We show that for time-varying models, there is a value Λ that can be computed to determine a sufficient condition for population survival. We also develop a framework for analyzing persistence of a population for …
Structured Matrices And The Algebra Of Displacement Operators,
2013
Harvey Mudd College
Structured Matrices And The Algebra Of Displacement Operators, Ryan Takahashi
HMC Senior Theses
Matrix calculations underlie countless problems in science, mathematics, and engineering. When the involved matrices are highly structured, displacement operators can be used to accelerate fundamental operations such as matrix-vector multiplication. In this thesis, we provide an introduction to the theory of displacement operators and study the interplay between displacement and natural matrix constructions involving direct sums, Kronecker products, and blocking. We also investigate the algebraic behavior of displacement operators, developing results about invertibility and kernels.
A Comparison And Catalog Of Intrinsic Tumor Growth Models,
2013
Harvey Mudd College
A Comparison And Catalog Of Intrinsic Tumor Growth Models, Elizabeth A. Sarapata
HMC Senior Theses
Determining the dynamics and parameter values that drive tumor growth is of great interest to mathematical modelers, experimentalists and practitioners alike. We provide a basis on which to estimate the growth dynamics of ten different tumors by fitting growth parameters to at least five sets of published experimental data per type of tumor. These timescale tumor growth data are also used to determine which of the most common tumor growth models (exponential, power law, logistic, Gompertz, or von Bertalanffy) provides the best fit for each type of tumor. In order to compute the best-fit parameters, we implemented a hybrid local-global …
Supersonic Turbine Cascade Studies Using Computational Fluid Dynamics And Water Table Experiments,
2013
University of Nevada, Las Vegas
Supersonic Turbine Cascade Studies Using Computational Fluid Dynamics And Water Table Experiments, Shelby E. Nelson
Honors College Theses
Design engineers use a variety of tools to perform calculations and to aid in the design process. For example, engineers designing gas turbines, specifically the aerodynamicists, use a combination of hand calculations, experimental data, and complex numerical codes to simulate air flow around each blade. Aerodynamicists designing gas turbines must predict the locations of the shocks to locate inefficiencies in the flow. In this thesis, three methods of calculating the shock angles are compared: analytical, experimental, and computational. Three different airfoil shapes are tested: a rectangular flat plate, a supersonic diamond, and a turbine airfoil. Cascade tests of the airfoil …
Editor's Statement,
2013
Bethel University
Editor's Statement, Abby Stocker, Leah Patton, Brad Cox, Jacob Manning, Roberta Fultz, Jared Hedges, Stacie Lewis
Colloquy Undergraduate Research Journal
No abstract provided.
Cooking Up The Optimal Baking Algorithm,
2013
Bethel University
Cooking Up The Optimal Baking Algorithm, Tony Burand, Michael Tetzlaff, Jacob Smith
Colloquy Undergraduate Research Journal
Many conventional rectangular baking pans have a problem in that they bake the corners of the batter faster than the rest of the pan. Circular baking pans eliminate this problem, but take up more space in the oven. We propose a solution that given weights for baking consistency and space efficiency based on the importance of each will provide the optimal baking pan shape. We have come up with an algorithm for sorting the pans of area A effectively and formed a model that describes the heat flow into the pan as well as the baking mix itself. The model …
Research And Development Of The Positron Damping Rings For The Proposed International Linear Collider And At Cern In Geneva, Switzerland For The Large Hadron Collider Atlas Experiment's Integrated Simulation Framwork,
2013
Syracuse University
Research And Development Of The Positron Damping Rings For The Proposed International Linear Collider And At Cern In Geneva, Switzerland For The Large Hadron Collider Atlas Experiment's Integrated Simulation Framwork, Ryan Badman
Renée Crown University Honors Thesis Projects - All
The topic of part I of my capstone is electron clouds, studied in the Cornell synchrotron accelerator. Electron clouds are an important phenomenon to study in circular particle accelerators such as the Large Hadron Collider (LHC), the Cornell synchrotron, and the damping ring for the proposed International Linear Collider (ILC). Low energy background electrons are normally present in high energy accelerators and are often not detrimental to beam performance, but certain operation conditions cause them to interact strongly with the beam, as was first observed in the 1980s in positron storage rings. The generation and amplification of the electron cloud …
Scalars And Generating Bases For The Module Of Splines With Boundary Conditions C(R;0)(I,
2013
Syracuse University
Scalars And Generating Bases For The Module Of Splines With Boundary Conditions C(R;0)(I, Gordon Michael Jones
Renée Crown University Honors Thesis Projects - All
See Full Document for Abstract
