An Optimal Threshold Strategy In The Two-Envelope Problem With Partial Information, 2015 Universidad de la Republica Oriental del Uruguay

#### An Optimal Threshold Strategy In The Two-Envelope Problem With Partial Information, Martin Egozcue, Luis Fuentes García

*Martin Egozcue*

No abstract provided.

Chaotic Behavior In Monetary Systems: Comparison Among Different Types Of Taylor Rule, 2015 Auckland University of Technology

#### Chaotic Behavior In Monetary Systems: Comparison Among Different Types Of Taylor Rule, Reza Moosavi Mohseni Dr., Wenjun Zhang Dr., Jiling Cao Prof.

*Reza Moosavi Mohseni*

The aim of the present study is to detect the chaotic behavior in the monetary economic relevant dynamical system. The study employs three different forms of Taylor rules: current, forward and backward looking. The result suggests the existence of the chaotic behavior in all three systems. In addition, the results strongly represent that using expectations in policy rule especially rational expectation hypothesis can increase the complexity of the system and leads to more chaotic behavior.

An Iterative Algorithm For $\Eta$-(Anti)-Hermitian Least-Squares Solutions Of Quaternion Matrix Equations, 2015 Vali-e-Asr University of Rafsanjan

#### An Iterative Algorithm For $\Eta$-(Anti)-Hermitian Least-Squares Solutions Of Quaternion Matrix Equations, Fatemeh Panjeh Ali Beik, Salman Ahmadi-Asl

*Electronic Journal of Linear Algebra*

Recently, some research has been devoted to finding the explicit forms of the η-Hermitian and η-anti-Hermitian solutions of several kinds of quaternion matrix equations and their associated least-squares problems in the literature. Although exploiting iterative algorithms is superior than utilizing the explicit forms in application, hitherto, an iterative approach has not been offered for finding η-(anti)-Hermitian solutions of quaternion matrix equations. The current paper deals with applying an efficient iterative manner for determining η-Hermitian and η-anti-Hermitian least-squares solutions corresponding to the quaternion matrix equation AXB + CY D = E. More precisely, first, this paper establishes some properties of the ...

Global Optimized Isothermal And Nonlinear Models Of Earth’S Standard Atmosphere, 2015 AAR Aerospace Consulting, LLC

#### Global Optimized Isothermal And Nonlinear Models Of Earth’S Standard Atmosphere, Nihad E. Daidzic, Ph.D.,

*International Journal of Aviation, Aeronautics, and Aerospace*

Both, a global isothermal temperature model and a nonlinear quadratic temperature model of the ISA was developed and presented here. Constrained optimization techniques in conjunction with the least-square-root approximations were used to design best-fit isothermal models for ISA pressure and density changes up to 47 geopotential km for NLPAM, and 86 orthometric km for ISOAM respectively. The mass of the dry atmosphere and the relevant fractional-mass scale heights have been computed utilizing the very accurate eight-point Gauss-Legendre numerical quadrature for both ISOAM and NLPAM. Both, the ISOAM and the NLPAM represent viable alternatives to ISA in many practical applications and ...

Comparison Of Two Parameter Estimation Techniques For Stochastic Models, 2015 East Tennessee State University

#### Comparison Of Two Parameter Estimation Techniques For Stochastic Models, Thomas C. Robacker

*Electronic Theses and Dissertations*

Parameter estimation techniques have been successfully and extensively applied to deterministic models based on ordinary differential equations but are in early development for stochastic models. In this thesis, we first investigate using parameter estimation techniques for a deterministic model to approximate parameters in a corresponding stochastic model. The basis behind this approach lies in the Kurtz limit theorem which implies that for large populations, the realizations of the stochastic model converge to the deterministic model. We show for two example models that this approach often fails to estimate parameters well when the population size is small. We then develop a ...

Chaotic Behavior In Monetary Systems: Comparison Among Different Types Of Taylor Rule, 2015 Auckland University of Technology

#### Chaotic Behavior In Monetary Systems: Comparison Among Different Types Of Taylor Rule, Reza Moosavi Mohseni Dr., Wenjun Zhang, Jiling Cao

*Reza Moosavi Mohseni*

The aim of the present study is to detect the chaotic behavior in monetary economic relevant dynamical system. The study employs three different forms of Taylor rules: current, forward, and backward looking. The result suggests the existence of the chaotic behavior in all three systems. In addition, the results strongly represent that using expectations in policy rule especially rational expectation hypothesis can increase complexity of the system and leads to more chaotic behavior.

The Effect Of Diversification On The Dynamics Of Mobile Genetic Elements In Prokaryotes: The Birth-Death-Diversification Model, 2015 The University of Western Ontario

#### The Effect Of Diversification On The Dynamics Of Mobile Genetic Elements In Prokaryotes: The Birth-Death-Diversification Model, Nicole E. Drakos

*Electronic Thesis and Dissertation Repository*

Mobile genetic elements (MGEs) are ubiquitous among prokaryotes, and have important implications to many areas, such as the evolution of certain genes, bioengineering and the spread of antibiotic resistance. In order to understand the complex dynamics of MGEs, mathematical models are often used. One model that has been used to describe the dynamics of mobile promoters (a class of MGEs) is the birth-death-diversification model. This model is unique in that it allows MGEs to diversify to create new families. In this thesis, I analyze the dynamics of this model; in particular, I examine equilibrium distributions, extinction probabilities and mean time ...

Local And Nonlocal Models In Thin-Plate And Bridge Dynamics, 2015 University of Nebraska-Lincoln

#### Local And Nonlocal Models In Thin-Plate And Bridge Dynamics, Jeremy Trageser

*Dissertations, Theses, and Student Research Papers in Mathematics*

This thesis explores several models in continuum mechanics from both local and nonlocal perspectives. The first portion settles a conjecture proposed by Filippo Gazzola and his collaborators on the finite-time blow-up for a class of fourth-order differential equations modeling suspension bridges. Under suitable assumptions on the nonlinearity and the initial data, a finite-time blowup is demonstrated as a result of rapid oscillations with geometrically growing amplitudes. The second section introduces a nonlocal peridynamic (integral) generalization of the biharmonic operator. Its action converges to that of the classical biharmonic as the radius of nonlocal interactions---the ``horizon"---tends to zero. For the ...

A Tent Pitching Scheme Motivated By Friedrichs Theory, 2015 Portland State University

#### A Tent Pitching Scheme Motivated By Friedrichs Theory, Jay Gopalakrishnan, Peter Monk, Paulina Sepúlveda

*Mathematics and Statistics Faculty Publications and Presentations*

Certain Friedrichs systems can be posed on Hilbert spaces normed with a graph norm. Functions in such spaces arising from advective problems are found to have traces with a weak continuity property at points where the inflow and outflow boundaries meet. Motivated by this continuity property, an explicit space-time finite element scheme of the tent pitching type, with spaces that conform to the continuity property, is designed. Numerical results for a model one-dimensional wave propagation problem are presented.

Rooted In Hell: Predicting Invasion Rates Of Phragmites Australis, 2015 Utah State University

#### Rooted In Hell: Predicting Invasion Rates Of Phragmites Australis, Rachel Nydegger, Jacob P. Duncan, James A. Powell

*Browse All Undergraduate research*

Across the estuaries of the east coast and wetlands of the Great Lakes, the invasive grass Phragmites australis outcompetes other vegetation and destroys local ecosystems. Because its roots are tolerant to salinity that other plants find hellish, Phragmites invasions begin with vegetative spread of genetic clones in brackish marshlands. This plant can grow over three meters tall at densities of 50 stems/m2, provides poor wildlife habitat, and is very difficult to eradicate.

A discrete life stage model on a yearly time step captures seed survivorship in a seed bank, sexual and asexual recruitment into a juvenile age class, and ...

Algorithms To Compute Characteristic Classes, 2015 The University of Western Ontario

#### Algorithms To Compute Characteristic Classes, Martin Helmer

*Electronic Thesis and Dissertation Repository*

In this thesis we develop several new algorithms to compute characteristics classes in a variety of settings. In addition to algorithms for the computation of the Euler characteristic, a classical topological invariant, we also give algorithms to compute the Segre class and Chern-Schwartz-MacPherson (CSM) class. These invariants can in turn be used to compute other common invariants such as the Chern-Fulton class (or the Chern class in smooth cases).

We begin with subschemes of a projective space over an algebraically closed field of characteristic zero. In this setting we give effective algorithms to compute the CSM class, Segre class and ...

Mathematical Models Of Games Of Chance: Epistemological Taxonomy And Potential In Problem-Gambling Research, 2015 University of Bucharest

#### Mathematical Models Of Games Of Chance: Epistemological Taxonomy And Potential In Problem-Gambling Research, Catalin Barboianu

*UNLV Gaming Research & Review Journal*

Games of chance are developed in their physical consumer-ready form on the basis of mathematical models, which stand as the premises of their existence and represent their physical processes. There is a prevalence of statistical and probabilistic models in the interest of all parties involved in the study of gambling – researchers, game producers and operators, and players – while functional models are of interest more to math-inclined players than problem-gambling researchers. In this paper I present a structural analysis of the knowledge attached to mathematical models of games of chance and the act of mathematical modeling, arguing that such non-standard knowledge ...

Transition Orbits Of Walking Droplets, 2015 California Polytechnic State University - San Luis Obispo

#### Transition Orbits Of Walking Droplets, Joshua Parker

*Physics*

It was recently discovered that millimeter-sized droplets bouncing on the surface of an oscillating bath of the same fluid can couple with the surface waves it produces and begin walking across the fluid bath. These walkers have been shown to behave similarly to quantum particles; a few examples include single-particle diffraction, tunneling, and quantized orbits. Such behavior occurs because the drop and surface waves depend on each other to exist, making this the first and only known macroscopic pilot-wave system. In this paper, the quantized orbits between two identical drops are explored. By sending a perturbation to a pair of ...

Hydrodynamic Analogues Of Hamiltonian Systems, 2015 University of Massachusetts Boston

#### Hydrodynamic Analogues Of Hamiltonian Systems, Francisco J. Jauffred

*Graduate Masters Theses*

A one-dimensional Hamiltonian system can be modeled and understood as a two-dimensional incompressible fluid in phase space. In this sense, the chaotic behavior of one-dimensional time dependent Hamiltonians corresponds to the mixing of two-dimensional fluids. Amey (2012) studied the characteristic values of one such system and found a scaling law governing them. We explain this scaling law as a diffusion process occurring in an elliptical region with very low eccentricity. We prove that for such a scaling law to occur, it is necessary for a vorticity field to be present. Furthermore, we show that a conformal mapping of an incompressible ...

Multiphysics Modeling To Enhance Understanding Of Microwave Heating Of Food In Domestic Ovens, 2015 University of Nebraska-Lincoln

#### Multiphysics Modeling To Enhance Understanding Of Microwave Heating Of Food In Domestic Ovens, Jiajia Chen

*Biological Systems Engineering--Dissertations, Theses, and Student Research*

Nonuniform heating is the biggest issue in the microwave heating of prepared meals. Multiphysics based models are promising tools to improve microwave heating uniformity by properly designing the food product. However, limited availability of accurate temperature-dependent material properties, inadequate model prediction accuracy, and high computational power and complexity in model development are three gaps that greatly limited the application of these models in the food industry.

To fill in the gaps, firstly, we developed a multitemperature calibration protocol to measure temperature-dependent dielectric properties (dielectric constant and loss factor). The temperature-dependent dielectric and thermal (thermal conductivity and specific heat capacity) properties ...

Using Community Structure Networks To Model Heterogeneous Mixing In Epidemics, And A Potential Application To Hiv In Washington, D.C., 2015 Bates College

#### Using Community Structure Networks To Model Heterogeneous Mixing In Epidemics, And A Potential Application To Hiv In Washington, D.C., Katherine Ragland Paulson

*Honors Theses*

Using models, mathematicians can better understand and analyze the factors that influence the dynamic spread of infectious disease through a population. The most fundamental epidemiological model is the SIR model, originally proposed by Kermack and McKendrick. In this model individuals in a population are categorized as Susceptible (S), Infected (I), or Removed (R), and differential equations are used to analyze the flow of people from one compartment to another. Many epidemiological models use the SIR model as a foundation, building complexities into it. Modeling HIV, for example, is complex because not all people in a population are at equal risk ...

Entropy Vs. Energy Waveform Processing: A Comparison Based On The Heat Equation, 2015 Washington University in St Louis

#### Entropy Vs. Energy Waveform Processing: A Comparison Based On The Heat Equation, Michael S. Hughes, John E. Mccarthy, Paul J. Bruillard, Jon N. Marsh, Samuel A. Wickline

*Mathematics Faculty Publications*

Virtually all modern imaging devices collect electromagnetic or acoustic waves and use the energy carried by these waves to determine pixel values to create what is basically an “energy” picture. However, waves also carry “information”, as quantified by some form of entropy, and this may also be used to produce an “information” image. Numerous published studies have demonstrated the advantages of entropy, or “information imaging”, over conventional methods. The most sensitive information measure appears to be the joint entropy of the collected wave and a reference signal. The sensitivity of repeated experimental observations of a slowly-changing quantity may be defined ...

A Model For Mountain Pine Beetle Outbreaks In An Age-Structured Forest: Predicting Severity And Outbreak Recovery Cycle Period, 2015 Utah State University

#### A Model For Mountain Pine Beetle Outbreaks In An Age-Structured Forest: Predicting Severity And Outbreak Recovery Cycle Period, Jacob P. Duncan

*Jacob P Duncan*

The mountain pine beetle (MPB, Dendroctonus ponderosae), a tree-killing bark beetle, has historically been part of the normal disturbance regime in lodgepole pine (Pinus contorta) forests. In recent years,warm winters and summers have allowed MPB populations to achieve synchronous emergence and successful attacks, resulting in widespread population outbreaks and resultant tree mortality across western North America. We develop an age-structured forest demographic model that incorporates temperature-dependent MPB infestations. Stability of fixed points is analyzed as a function of (thermally controlled) MPB population growth rates and indicates the existence of periodic outbreaks that intensify as growth rates increase. We devise ...

Spatially Random Processes In One-Dimensional Maps: The Logistic Map And The Arnold Circle Map, 2015 University of Colorado Boulder

#### Spatially Random Processes In One-Dimensional Maps: The Logistic Map And The Arnold Circle Map, An T. Le

*Applied Mathematics Graduate Theses & Dissertations*

One way to model in-situ remediation of contaminated groundwater is to consider spatially random processes in nonlinear systems. Groundwater remediation often requires injecting an aquifer with treatment solution, where degradation reactions break down the toxins. As the treatment solution and contaminated water flow through the aquifer, their movement is limited by the types of sediment found in the aquifer, which act as spatial barriers to mixing. The onset of chaos in this system implies the two solutions are well mixed, and thus the contaminants are rendered inert. The spatially random processes explored in this thesis are meant to mimic the ...

A Hierarchical Graph For Nucleotide Binding Domain 2, 2015 East Tennessee State University

#### A Hierarchical Graph For Nucleotide Binding Domain 2, Samuel Kakraba

*Electronic Theses and Dissertations*

One of the most prevalent inherited diseases is cystic fibrosis. This disease is caused by a mutation in a membrane protein, the cystic fibrosis transmembrane conductance regulator (CFTR). CFTR is known to function as a chloride channel that regulates the viscosity of mucus that lines the ducts of a number of organs. Generally, most of the prevalent mutations of CFTR are located in one of two nucleotide binding domains, namely, the nucleotide binding domain 1 (NBD1). However, some mutations in nucleotide binding domain 2 (NBD2) can equally cause cystic fibrosis. In this work, a hierarchical graph is built for NBD2 ...