Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Classifying space for fibrations (1)
- Connected differential (1)
- Derivations (1)
- Evaluation map (1)
- Free lie algebra (1)
-
- Gottlieb group (1)
- Gottlieb groups (1)
- Holonomy action (1)
- Homotopy lie algebra (1)
- Homotopy monomorphism (1)
- Lie algebra (1)
- Lie model (1)
- Minimal models (1)
- Particular form (1)
- Quasi-birth-and-death process (1)
- Queueing model (1)
- Rational homotopy (1)
- Rational homotopy type (1)
- Separated dgl (1)
- Special property (1)
- Sullivan minimal models (1)
- Time-dependent periodic Poisson arrival rates; Time-inhomogeneous queue; Multi-server queues; Modified Bessel functions (1)
- Time-inhomogeneous Markov chain (1)
- Topological space (1)
Articles 1 - 9 of 9
Full-Text Articles in Mathematics
Household Food Insecurity Is Inversely Associated With Social Capital And Health In Females From Special Supplemental Nutrition Program For Women, Infants, And Children Households In Appalachian Ohio, Jennifer L. Walker, David H. Holben, Mary L. Kropf, John P. Holcomb Jr., Heidi Anderson
Household Food Insecurity Is Inversely Associated With Social Capital And Health In Females From Special Supplemental Nutrition Program For Women, Infants, And Children Households In Appalachian Ohio, Jennifer L. Walker, David H. Holben, Mary L. Kropf, John P. Holcomb Jr., Heidi Anderson
Mathematics and Statistics Faculty Publications
Food insecurity has been negatively associated with social capital (a measure of perceived social trust and community reciprocity) and health status. Yet, these factors have not been studied extensively among women from households participating in the Special Supplemental Nutrition Program for Women, Infants, and Children (WIC) or the WIC Farmers’ Market Nutrition Program. A cross-sectional, self-administered, mailed survey was conducted in Athens County, Ohio, to examine the household food security status, social capital, and self-rated health status of women from households receiving WIC benefits alone (n=170) and those from households receiving both WIC and Farmers’ Market Nutrition Program benefits (n=65), …
Evaluation Maps In Rational Homotopy, Yves Felix, Gregory Lupton
Evaluation Maps In Rational Homotopy, Yves Felix, Gregory Lupton
Mathematics and Statistics Faculty Publications
In the rational category of nilpotent complexes, let E be an H-space acting on a space X. With mild hypotheses we show that the action on the base point w: E→X factors through a map ΓE:SE→X, where S E is a finite product of odd-dimensional spheres and Γ E is a homotopy monomorphism. Among others, the following consequences are obtained:π∗(w)6=0 if and only if w is essential and H∗(w)6=0 if and only if X satisfies a strong splitting condition.
Betti Numbers And Degree Bounds For Some Linked Zero-Schemes, Leah Gold, Hal Schenck, Hema Srinivasan
Betti Numbers And Degree Bounds For Some Linked Zero-Schemes, Leah Gold, Hal Schenck, Hema Srinivasan
Mathematics and Statistics Faculty Publications
In [J. Herzog, H. Srinivasan, Bounds for multiplicities, Trans. Amer. Math. Soc. 350 (1998) 2879–2902], Herzog and Srinivasan study the relationship between the graded Betti numbers of a homogeneous ideal II in a polynomial ring RR and the degree of II. For certain classes of ideals, they prove a bound on the degree in terms of the largest and smallest Betti numbers, generalizing results of Huneke and Miller in [C. Huneke, M. Miller, A note on the multiplicity of Cohen–Macaulay algebras with pure resolutions, Canad. J. Math. 37 (1985) 1149–1162]. The bound is conjectured to hold in general; we study …
Transient And Periodic Solution To The Time-Inhomogeneous Quasi-Birth Death Process, Barbara Haas Margolius
Transient And Periodic Solution To The Time-Inhomogeneous Quasi-Birth Death Process, Barbara Haas Margolius
Mathematics and Statistics Faculty Publications
We derive the transient distribution and periodic family of asymptotic distributions and the transient and periodic moments for the quasi-birth-and-death processes with time-varying periodic rates. The distributions and moments are given in terms of integral equations involving the related random-walk process. The method is a straight-forward application of generating functions.
Rationalized Evaluation Subgroups Of A Map Ii: Quillen Models And Adjoint Maps, Gregory Lupton, Samuel Bruce Smith
Rationalized Evaluation Subgroups Of A Map Ii: Quillen Models And Adjoint Maps, Gregory Lupton, Samuel Bruce Smith
Mathematics and Statistics Faculty Publications
We identify the long exact sequence induced on rational homotopy groups by the evaluation map ω: map(X, Y ; f)→Y and in particular the rationalization of the evaluation subgroups off, in terms of derivations of Quillen models and adjoint maps. We consider a generalization of a question of Gottlieb within the context of rational homotopytheory. We also study the rationalization of the G-sequence of a map. In a separate result of independent interest, we give an explicit Quillen minimal model of a product A×X, in the case in which A is a rational co-H-space.
The Evaluation Subgroup Of A Fibre Inclusion, Gregory Lupton, Samuel Bruce Smith
The Evaluation Subgroup Of A Fibre Inclusion, Gregory Lupton, Samuel Bruce Smith
Mathematics and Statistics Faculty Publications
Let ξ: X j−→Ep−→B be a fibration of simply connected CW complexes of finite type with classifying map h: B→Baut1(X).We study the evaluation subgroup G n (E, X; j)of the fibre inclusion as an invariant of the fibre- homotopy type of ξ. For spherical fibrations, we show the evaluation subgroup may be expressed as an extension of the Gottlieb group of the fibre sphere provided the classifying map h induces the trivial map on homotopy groups. We extend this result after rationalization: We show that the decomposition G∗(E, X ; j)⊗Q=(G∗(X)⊗Q)⊕(π∗(B)⊗Q)is equivalent to the condition(h)Q=0.
Separated Lie Models And The Homotopy Lie Algebra, Peter G. Bubenik
Separated Lie Models And The Homotopy Lie Algebra, Peter G. Bubenik
Mathematics and Statistics Faculty Publications
Abstract. A simply connected topological space X has homotopy Lie algebra π∗(ΩX) ⊗ Q. Following Quillen, there is a connected differential graded free Lie algebra (dgL) called a Lie model, which determines the rational homotopy type of X, and whose homology is isomorphic to the homotopy Lie algebra. We show that such a Lie model can be replaced with one that has a special property we call separated. The homology of a separated dgL has a particular form which lends itself to calculations. 1.
Periodic Solution To The Time-Inhomogeneous Multi-Server Poisson Queue, Barbara Haas Margolius
Periodic Solution To The Time-Inhomogeneous Multi-Server Poisson Queue, Barbara Haas Margolius
Mathematics and Statistics Faculty Publications
We derive the periodic family of asymptotic distributions and the periodic moments for number in the queue for the multi-server queue with Poisson arrivals and exponential service for time-varying periodic arrival and departure rates, and time-varying periodic number of servers. The method is a straight-forward application of generating functions.
Generic Subideals Of Graph Ideals And Free Resolutions, Leah Gold
Generic Subideals Of Graph Ideals And Free Resolutions, Leah Gold
Mathematics and Statistics Faculty Publications
For a graph of an n-cycle Δ with Alexander dual Δ∗, we study the free resolution of a subideal G (n) of the Stanley-Reisner ideal IΔ∗. We prove that if G(n) is generated by 3 generic elements of IΔ∗, then the second syzygy module of G(n) is isomorphic to the second syzygy module of (x1,x2,... ,x n). A result of Bruns shows that there is always a 3-generated ideal with this property. We show that it can be chosen to have a particularly nice form.