Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Zagier duality (2)
- Aleksandrov curvature (1)
- Busemann (1)
- D-ratio (1)
- Detonations (1)
-
- Disjoint (0 (1)
- Evans function (1)
- Gaussian Mixture Models (1)
- Geodesic (1)
- Modular forms (1)
- N)-cells (1)
- Navier-Stokes (1)
- Planar waves (1)
- Real Estate (1)
- Root following (1)
- Sharpe Ratio (1)
- Traveling waves (1)
- Upside Potential Ratio (1)
- Weakly holomorphic (1)
- Weakly holomorphic modular forms (1)
Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Spaces Of Weakly Holomorphic Modular Forms In Level 52, Daniel Meade Adams
Spaces Of Weakly Holomorphic Modular Forms In Level 52, Daniel Meade Adams
Theses and Dissertations
Let M#k(52) be the space of weight k level 52 weakly holomorphic modular forms with poles only at infinity, and S#k(52) the subspace of forms which vanish at all cusps other than infinity. For these spaces we construct canonical bases, indexed by the order of vanishing at infinity. We prove that the coefficients of the canonical basis elements satisfy a duality property. Further, we give closed forms for the generating functions of these basis elements.
Weakly Holomorphic Modular Forms In Level 64, Christopher William Vander Wilt
Weakly Holomorphic Modular Forms In Level 64, Christopher William Vander Wilt
Theses and Dissertations
Let M#k(64) be the space of weakly holomorphic modular forms in level 64 and weight k which can have poles only at infinity, and let S#k(64) be the subspace of M#k(64) consisting of forms which vanish at all cusps other than infinity. We explicitly construct canonical bases for these spaces and show that the coefficients of these basis elements satisfy Zagier duality. We also compute the generating function for the canonical basis.
Busemann G-Spaces, Cat(K) Curvature, And The Disjoint (0, N)-Cells Property, Clarke Alexander Safsten
Busemann G-Spaces, Cat(K) Curvature, And The Disjoint (0, N)-Cells Property, Clarke Alexander Safsten
Theses and Dissertations
A review of geodesics and Busemann G-spaces is given. Aleksandrov curvature and the disjoint (0, n)-cells property are defined. We show how these properties are applied to and strengthened in Busemann G-spaces. We examine the relationship between manifolds and Busemann G-spaces and prove that all Riemannian manifolds are Busemann G-spaces, though not all metric manifolds are Busemann G-spaces. We show how Busemann G-spaces that also have bounded Aleksandrov curvature admit local closest-point projections to geodesic segments. Finally, we expound local properties of Busemann G-spaces and define a new property which we call the symmetric property. We show that Busemann …
Stability Of Planar Detonations In The Reactive Navier-Stokes Equations, Joshua W. Lytle
Stability Of Planar Detonations In The Reactive Navier-Stokes Equations, Joshua W. Lytle
Theses and Dissertations
This dissertation focuses on the study of spectral stability in traveling waves, with a special interest in planar detonations in the multidimensional reactive Navier-Stokes equations. The chief tool is the Evans function, combined with STABLAB, a numerical library devoted to calculating the Evans function. Properly constructed, the Evans function is an analytic function in the right half-plane whose zeros correspond in multiplicity and location to the spectrum of the traveling wave. Thus the Evans function can be used to verify stability, or to locate precisely any unstable eigenvalues. We introduce a new method that uses numerical continuation to follow unstable …
It Is Better To Be Upside Than Sharpe!, Daniele Dapuzzo
It Is Better To Be Upside Than Sharpe!, Daniele Dapuzzo
Theses and Dissertations
Based on the assumption that returns in Commercial Real Estate are normally distributed, the Sharpe Ratio has been the standard risk-adjusted performance measure for the past several years. Research has questioned whether this assumption can be reasonably made. The Upside Potential Ratio as a risk-adjusted performance measure is an alternative to measure performance on a risk-adjusted basis but its values differ from the Sharpe Ratio's only in the assumption of skewed returns. We will provide reasonable evidence that CRE returns should not be fitted with a normal distribution and present the Gaussian Mixture Model as our choice of distribution to …