Open Access. Powered by Scholars. Published by Universities.®
Science and Mathematics Education Commons™
Open Access. Powered by Scholars. Published by Universities.®
University of Nebraska - Lincoln
Department of Mathematics: Dissertations, Theses, and Student Research
- Discipline
- Keyword
-
- Toric Varieties (2)
- Climate Change (1)
- Cone (1)
- Disentangling (1)
- Equivariant K-theory (1)
-
- Fan (1)
- Fan Cohomology (1)
- Feynman's operational calculi (1)
- Functional calculus (1)
- Integral projection models (1)
- K-Theory (1)
- Mathematical Model (1)
- Matrix models (1)
- Operational calculus (1)
- Population dynamics (1)
- Population models (1)
- Symmetric Power Sheaves (1)
- TSD (1)
- Temperature (1)
- Transient dynamics (1)
Articles 1 - 5 of 5
Full-Text Articles in Science and Mathematics Education
A Computational Study Of The Effects Of Temperature Variation On Turtle Egg Development, Sex Determination, And Population Dynamics, Amy L. Parrott
A Computational Study Of The Effects Of Temperature Variation On Turtle Egg Development, Sex Determination, And Population Dynamics, Amy L. Parrott
Department of Mathematics: Dissertations, Theses, and Student Research
Climate change and its effects on ecosystems is a major concern. For certain animal species, especially those that exhibit what is known as temperature-dependent sex determination (TSD), temperature variations pose a possibly serious threat (Valenzuela and Lance, 2004). In these species, temperature, and not chromosomes, determines the sex of the animal (Valenzuela and Lance, 2004). It is conceivable therefore, that if the temperature changes to favor only one sex, then dire consequences for their populations could occur. In this dissertation, we examine possible effects that climate change may have upon Painted Turtles (Chrysemys picta), a species with TSD. We investigate …
Fan Cohomology And Equivariant Chow Rings Of Toric Varieties, Mu-Wan Huang
Fan Cohomology And Equivariant Chow Rings Of Toric Varieties, Mu-Wan Huang
Department of Mathematics: Dissertations, Theses, and Student Research
Toric varieties are varieties equipped with a torus action and constructed from cones and fans. In the joint work with Suanne Au and Mark E. Walker, we prove that the equivariant K-theory of an affine toric variety constructed from a cone can be identified with a group ring determined by the cone. When a toric variety X(Δ) is smooth, we interpret equivariant K-groups as presheaves on the associated fan space Δ. Relating the sheaf cohomology groups to equivariant K-groups via a spectral sequence, we provide another proof of a theorem of Vezzosi and Vistoli: equivariant K …
Modeling And Analysis Of Biological Populations, Joan Lubben
Modeling And Analysis Of Biological Populations, Joan Lubben
Department of Mathematics: Dissertations, Theses, and Student Research
Asymptotic and transient dynamics are both important when considering the future population trajectory of a species. Asymptotic dynamics are often used to determine whether the long-term trend results in a stable, declining or increasing population and even provide possible directions for management actions. Transient dynamics are important for estimating invasion speed of non-indigenous species, population establishment after releasing biocontrol agents, or population management after a disturbance like fire. We briefly describe here the results in this thesis.
(1) We consider asymptotic dynamics using discrete time linear population models of the form n(t + 1) = An(t) where …
Fan Cohomology And Its Application To Equivariant K-Theory Of Toric Varieties, Suanne Au
Fan Cohomology And Its Application To Equivariant K-Theory Of Toric Varieties, Suanne Au
Department of Mathematics: Dissertations, Theses, and Student Research
Mu-Wan Huang, Mark Walker and I established an explicit formula for the equivariant K-groups of affine toric varieties. We also recovered a result due to Vezzosi and Vistoli, which expresses the equivariant K-groups of a smooth toric variety in terms of the K-groups of its maximal open affine toric subvarieties. This dissertation investigates the situation when the toric variety X is neither affine nor smooth. In many cases, we compute the Čech cohomology groups of the presheaf KqT on X endowed with a topology. Using these calculations and Walker's Localization Theorem for equivariant K-theory, we give explicit formulas …
Combinatorial And Commutative Manipulations In Feynman's Operational Calculi For Noncommuting Operators, Duane Einfeld
Combinatorial And Commutative Manipulations In Feynman's Operational Calculi For Noncommuting Operators, Duane Einfeld
Department of Mathematics: Dissertations, Theses, and Student Research
In Feynman's Operational Calculi, a function of indeterminates in a commutative space is mapped to an operator expression in a space of (generally) noncommuting operators; the image of the map is determined by a choice of measures associated with the operators, by which the operators are 'disentangled.' Results in this area of research include formulas for disentangling in particular cases of operators and measures. We consider two ways in which this process might be facilitated. First, we develop a set of notations and operations for handling the combinatorial arguments that tend to arise. Second, we develop an intermediate space for …