University of Nebraska-Lincoln
Louisiana Tech University
Bard College
University of Texas at Tyler
University of New Mexico
Hofstra University, Hempstead, NY 11549, USA
Missouri State University
Rhode Island College
An Exposition Of The Curvature Of Warped Product Manifolds,
2023
California State University - San Bernardino
An Exposition Of The Curvature Of Warped Product Manifolds, Angelina Bisson
Electronic Theses, Projects, and Dissertations
The field of differential geometry is brimming with compelling objects, among which are warped products. These objects hold a prominent place in differential geometry and have been widely studied, as is evident in the literature. Warped products are topologically the same as the Cartesian product of two manifolds, but with distances in one of the factors in skewed. Our goal is to introduce warped product manifolds and to compute their curvature at any point. We follow recent literature and present a previously known result that classifies all flat warped products to find that there are flat examples of warped products …
Msis-Capaldi: Modelling The Winter Tick Epizootic In Moose,
2023
University of Tennessee, Knoxville
Msis-Capaldi: Modelling The Winter Tick Epizootic In Moose, Charlotte Beckford
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Integrating Quantitative Skills Into Biology Courses,
2023
UMBC
Integrating Quantitative Skills Into Biology Courses, Kathleen Hoffman, Sarah Leupen, Hannah Pie, Michelle Starz-Gaiano, Patricia Turner, Tory Williams
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modelling Impact Of Diverse Vegetation On Crop-Pollinator Interactions,
2023
Texas Tech University
Modelling Impact Of Diverse Vegetation On Crop-Pollinator Interactions, Morgan N. Beetler
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
On A Stationary Random Knot,
2023
Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
On A Stationary Random Knot, Andrey A. Dorogovtsev
Journal of Stochastic Analysis
No abstract provided.
Most Popular Genre's Of Videogames To Play For Hu Students,
2023
Harrisburg University of Science and Technology
Most Popular Genre's Of Videogames To Play For Hu Students, Asheria Upsher, Jean Orejuela, Joshua Scott
Harrisburg University Research Symposium: Highlighting Research, Innovation, & Creativity
Our Poster will show the most played and favored videogame genre's according to HU students.
Reducing Uncertainty In Sea-Level Rise Prediction: A Spatial-Variability-Aware Approach,
2023
University of Minnesota - Twin Cities
Reducing Uncertainty In Sea-Level Rise Prediction: A Spatial-Variability-Aware Approach, Subhankar Ghosh, Shuai An, Arun Sharma, Jayant Gupta, Shashi Shekhar, Aneesh Subramanian
I-GUIDE Forum
Given multi-model ensemble climate projections, the goal is to accurately and reliably predict future sea-level rise while lowering the uncertainty. This problem is important because sea-level rise affects millions of people in coastal communities and beyond due to climate change's impacts on polar ice sheets and the ocean. This problem is challenging due to spatial variability and unknowns such as possible tipping points (e.g., collapse of Greenland or West Antarctic ice-shelf), climate feedback loops (e.g., clouds, permafrost thawing), future policy decisions, and human actions. Most existing climate modeling approaches use the same set of weights globally, during either regression or …
Backward Stochastic Differential Equations In A Semi-Markov Chain Model,
2023
University of Calgary, Calgary, AB, T2N 1N4, Canada
Backward Stochastic Differential Equations In A Semi-Markov Chain Model, Robert J. Elliott, Zhe Yang
Journal of Stochastic Analysis
No abstract provided.
Approaches To Assessing Nutrient Coupling In Open Ocean Datasets,
2023
Humboldt State University
Approaches To Assessing Nutrient Coupling In Open Ocean Datasets, James M. Moore, Claire P. Till
IdeaFest: Interdisciplinary Journal of Creative Works and Research from Cal Poly Humboldt
Nutrient coupling describes a process where the biogeochemical cycles of two elements are linked by being incorporated similarly into biomass. This paper uses data from the GEOTRACES GP16 cruise (Eastern Pacific Zonal Transect) to investigate the relationship between certain macronutrients generally coupled to trace elements in terms of their oceanic distributions with the notable exception of in an oxygen minimum zone: cadmium-phosphate and zinc-silicate. There are many methods applied to oceanographic data to correlate analyte concentrations; while they are often presented independently in literature, here we attempt to use them in conjunction for a more thorough interpretation. By compiling 1) …
The Mean Sum Of Squared Linking Numbers Of Random Piecewise-Linear Embeddings Of $K_N$,
2023
University of Notre Dame
The Mean Sum Of Squared Linking Numbers Of Random Piecewise-Linear Embeddings Of $K_N$, Yasmin Aguillon, Xingyu Cheng, Spencer Eddins, Pedro Morales
Rose-Hulman Undergraduate Mathematics Journal
DNA and other polymer chains in confined spaces behave like closed loops. Arsuaga et al. \cite{AB} introduced the uniform random polygon model in order to better understand such loops in confined spaces using probabilistic and knot theoretical techniques, giving some classification on the mean squared linking number of such loops. Flapan and Kozai \cite{flapan2016linking} extended these techniques to find the mean sum of squared linking numbers for random linear embeddings of complete graphs $K_n$ and found it to have order $\Theta(n(n!))$. We further these ideas by inspecting random piecewise-linear embeddings of complete graphs and give introductory-level summaries of the ideas …
On The Spectrum Of Quaquaversal Operators,
2023
The Graduate Center, City University of New York
On The Spectrum Of Quaquaversal Operators, Josiah Sugarman
Dissertations, Theses, and Capstone Projects
In 1998 Charles Radin and John Conway introduced the Quaquaversal Tiling. A three dimensional hierarchical tiling with the property that the orientations of its tiles approach a uniform distribution faster than what is possible for hierarchical tilings in two dimensions. The distribution of orientations is controlled by the spectrum of a certain Hecke operator, which we refer to as the Quaquaversal Operator. For example, by showing that the largest eigenvalue has multiplicity equal to one, Charles Radin and John Conway showed that the orientations of this tiling approach a uniform distribution. In 2008, Bourgain and Gamburd showed that this operator …
Differential Calculus: From Practice To Theory,
2023
Pennsylvania State University
Differential Calculus: From Practice To Theory, Eugene Boman, Robert Rogers
Milne Open Textbooks
Differential Calculus: From Practice to Theory covers all of the topics in a typical first course in differential calculus. Initially it focuses on using calculus as a problem solving tool (in conjunction with analytic geometry and trigonometry) by exploiting an informal understanding of differentials (infinitesimals). As much as possible large, interesting, and important historical problems (the motion of falling bodies and trajectories, the shape of hanging chains, the Witch of Agnesi) are used to develop key ideas. Only after skill with the computational tools of calculus has been developed is the question of rigor seriously broached. At that point, the …
Geometry In Spectral Triples: Immersions And Fermionic Fuzzy Geometries,
2023
Western University
Geometry In Spectral Triples: Immersions And Fermionic Fuzzy Geometries, Luuk S. Verhoeven
Electronic Thesis and Dissertation Repository
We investigate the metric nature of spectral triples in two ways.
Given an oriented Riemannian embedding i:X->Y of codimension 1 we construct a family of unbounded KK-cycles i!(epsilon), each of which represents the shriek class of i in KK-theory. These unbounded KK-cycles are further equipped with connections, allowing for the explicit computation of the products of i! with the spectral triple of Y at the unbounded level. In the limit epsilon to 0 the product of these unbounded KK-cycles with the canonical spectral triple for Y admits an asymptotic expansion. The divergent part of this expansion is known and …
Double Barrier Backward Doubly Stochastic Differential Equations,
2023
Pension Fund Management Division, Mitsubishi UFJ Trust and Banking Corporation, 1-4-5, Marunouchi, Chiyoda-ku, Tokyo, 100-8212, Japan
Double Barrier Backward Doubly Stochastic Differential Equations, Tadashi Hayashi
Journal of Stochastic Analysis
No abstract provided.
Symmetric Functions Algebras (Sfa) Iii: Stochastic And Constant Row Sum Matrices,
2023
Southern Illinois University, Carbondale, Illinois 62901, USA
Symmetric Functions Algebras (Sfa) Iii: Stochastic And Constant Row Sum Matrices, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Math And Democracy,
2023
Juniata College
Math And Democracy, Kimberly A. Roth, Erika L. Ward
Journal of Humanistic Mathematics
Math and Democracy is a math class containing topics such as voting theory, weighted voting, apportionment, and gerrymandering. It was first designed by Erika Ward for math master’s students, mostly educators, but then adapted separately by both Erika Ward and Kim Roth for a general audience of undergraduates. The course contains materials that can be explored in mathematics classes from those for non-majors through graduate students. As such, it serves students from all majors and allows for discussion of fairness, racial justice, and politics while exploring mathematics that non-major students might not otherwise encounter. This article serves as a guide …
Dna Self-Assembly Of Trapezohedral Graphs,
2023
California State University - San Bernardino
Dna Self-Assembly Of Trapezohedral Graphs, Hytham Abdelkarim
Electronic Theses, Projects, and Dissertations
Self-assembly is the process of a collection of components combining to form an organized structure without external direction. DNA self-assembly uses multi-armed DNA molecules as the component building blocks. It is desirable to minimize the material used and to minimize genetic waste in the assembly process. We will be using graph theory as a tool to find optimal solutions to problems in DNA self-assembly. The goal of this research is to develop a method or algorithm that will produce optimal tile sets which will self-assemble into a target DNA complex. We will minimize the number of tile and bond-edge types …
The G_2-Hitchin Component Of Triangle Groups: Dimension And Integer Points,
2023
University of Tennessee, Knoxville
The G_2-Hitchin Component Of Triangle Groups: Dimension And Integer Points, Hannah E. Downs
Doctoral Dissertations
The image of $\PSL(2,\reals)$ under the irreducible representation into $\PSL(7,\reals)$ is contained in the split real form $G_{2}^{4,3}$ of the exceptional Lie group $G_{2}$. This irreducible representation therefore gives a representation $\rho$ of a hyperbolic triangle group $\Gamma(p,q,r)$ into $G_{2}^{4,3}$, and the \textit{Hitchin component} of the representation variety $\Hom(\Gamma(p,q,r),G_{2}^{4,3})$ is the component of $\Hom(\Gamma(p,q,r),G_{2}^{4,3})$ containing $\rho$.
This thesis is in two parts: (i) we give a simple, elementary proof of a formula for the dimension of this Hitchin component, this formula having been obtained earlier in [Alessandrini et al.], \citep{Alessandrini2023}, as part of a wider investigation using Higgs bundle techniques, …
An Extension Of The Complex–Real (C–R) Calculus To The Bicomplex Setting, With Applications,
2023
Chapman University
An Extension Of The Complex–Real (C–R) Calculus To The Bicomplex Setting, With Applications, Daniel Alpay, Kamal Diki, Mihaela Vajiac
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper, we extend notions of complex ℂ−ℝ-calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case. Applications of this theory include two bicomplex least mean square algorithms, which extend classical real and complex least mean square algorithms.
Polynomial Density Of Compact Smooth Surfaces,
2023
Western University
Polynomial Density Of Compact Smooth Surfaces, Luke P. Broemeling
Electronic Thesis and Dissertation Repository
We show that any smooth closed surface has polynomial density 3 and that any connected compact smooth surface with boundary has polynomial density 2.
