Σary,
2014
Minnesota State University Moorhead
Σary, Minnesota State University Moorhead, Mathematics Department
Math Department Newsletters
No abstract provided.
Extreme Self-Adjoint Extensions Of A Semibounded Q-Difference Operator,
2014
Missouri University of Science and Technology
Extreme Self-Adjoint Extensions Of A Semibounded Q-Difference Operator, Miron B. Bekker, Martin Bohner, Hristo Voulov
Mathematics and Statistics Faculty Research & Creative Works
For a certain q-difference operator introduced and studied in a series of articles by the same authors, we investigate its extreme self-adjoint extensions, i.e., the so-called Friedrichs and Kreǐn extensions. We show that for the interval of parameters under consideration, the Friedrichs extension and the Kreǐn extension are distinct and give values of the parameter in the von Neumann formulas that correspond to those extensions and describe their resolvent operators. A crucial role in our investigation plays the fact that both the Friedrichs and the Kreǐn extensions are scale invariant. © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Free Energies In A General Non-Local Theory Of A Material With Memory,
2014
Dipartimento di Matematica Applicata, Università di Pisa
Free Energies In A General Non-Local Theory Of A Material With Memory, Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
Articles
A general theory of non-local materials, with linear constitutive equations and memory effects, is developed within a thermodynamic framework. Several free energy and dissipation functionals are constructed and explored. These include an expression for the minimum free energy and a functional that is a free energy for important categories of memory kernels and is explicitly a functional of the minimal state. The functionals discussed have a similar general form to the corresponding expressions for simple materials. A number of new results are derived for them, most of which apply equally to both types of material. In particular, detailed formulae are …
An Oracle Method To Predict Nfl Games,
2014
Trinity University
An Oracle Method To Predict Nfl Games, Eduardo C. Balreira, Brian K. Miceli, Thomas Tegtmeyer
Mathematics Faculty Research
Multiple models are discussed for ranking teams in a league and introduce a new model called the Oracle method. This is a Markovian method that can be customized to incorporate multiple team traits into its ranking. Using a foresight prediction of NFL game outcomes for the 2002–2013 seasons, it is shown that the Oracle method correctly picked 64.1% of the games under consideration, which is higher than any of the methods compared, including ESPN Power Rankings, Massey, Colley, and PageRank.
A Metapopulation Model For Sylvatic T. Cruzi Transmission With Vector Migration,
2014
University of Texas at Arlington
A Metapopulation Model For Sylvatic T. Cruzi Transmission With Vector Migration, Christopher Kribs, Britnee Crawford
Mathematics Faculty Publications - Archive
This study presents a metapopulation model for the sylvatic transmission of Trypanosoma cruzi, the etiological agent of Chagas' disease, across multiple geographical regions and multiple overlapping host-vector transmission cycles. Classical qualitative analysis of the model and several submodels focuses on the parasite's basic reproductive number, illustrating how vector migration across patches and multiple transmission routes to hosts (including vertical transmission) determine the infection's persistence in each cycle. Numerical results focus on trends in endemic [equilibrium] persistence levels as functions of vector migration rates, and highlight the significance of the different epidemiological characteristics of transmission in each of the three regions.
Convolutions And Convex Combinations Of Harmonic Mappings Of The Disk,
2014
Brigham Young University - Provo
Convolutions And Convex Combinations Of Harmonic Mappings Of The Disk, Zachary M. Boyd
Theses and Dissertations
Let f_1, f_2 be univalent harmonic mappings of some planar domain D into the complex plane C. This thesis contains results concerning conditions under which the convolution f_1 ∗ f_2 or the convex combination tf_1 + (1 − t)f_2 is univalent. This is a long-standing problem, and I provide several partial solutions. I also include applications to minimal surfaces.
Trends In Extreme U.S. Temperatures,
2014
Boise State University
Trends In Extreme U.S. Temperatures, Jaechoul Lee, Shanghong Li, Robert Lund
Mathematics Faculty Publications and Presentations
This paper develops trend estimation techniques for monthly maximum and minimum temperature time series observed in the 48 conterminous United States over the last century. While most scientists concur that this region has warmed on aggregate, there is no a priori reason to believe that temporal trends in extremes and averages will exhibit the same patterns. Indeed, under minor regularity conditions, the sample partial sum and maximum of stationary time series are asymptotically independent (statistically). Previous authors have suggested that minimum temperatures are warming faster than maximum temperatures in the United States; such an aspect can be investigated via the …
Diagnosis Of Infection After Splenectomy For Trauma Should Be Based On Lack Of Platelets Rather Than White Blood Cell Count,
2014
University Hospitals Case Medical Center
Diagnosis Of Infection After Splenectomy For Trauma Should Be Based On Lack Of Platelets Rather Than White Blood Cell Count, Aman Banerjee, Katherine B. Kelly, Hannah Y. Zhou, Shanteria D. Dixon, Ariadni Papana Dagiasis, Linda M. Quinn, Jeffrey A. Claridge
Mathematics and Statistics Faculty Publications
Background: There is a lack of evidence-based criteria to assist the diagnosis of infection following trauma splenectomy (TS). However, the literature suggests that white blood cell count (WBC) is associated with infection in patients who undergo TS. We sought to find whether there exist key differences in laboratory and clinical parameters that can assist the diagnosis of infection after TS. Methods: We evaluated all consecutive trauma patients who had undergone TS at a Level 1 trauma center from 2005 to 2011 for the development of infection. To do this, we compared the values of demographic, laboratory, and clinical variables of …
Large Deviations For A Stochastic Burgers' Equation,
2014
Louisiana State University
Large Deviations For A Stochastic Burgers' Equation, Leila Setayeshgar
Communications on Stochastic Analysis
No abstract provided.
Moments Analysis Of A Markov-Modulated Risk Model With Stochastic Interest Rates,
2014
Louisiana State University
Moments Analysis Of A Markov-Modulated Risk Model With Stochastic Interest Rates, Guglielmo D'Amico
Communications on Stochastic Analysis
No abstract provided.
Harnack Estimates For Degenerate Parabolic Equations Modeled On The Subelliptic P-Laplacian,
2014
University of Jyväskylä
Harnack Estimates For Degenerate Parabolic Equations Modeled On The Subelliptic P-Laplacian, Benny Avelin, Luca Capogna, Giovanna Citti, Kaj Nyström
Mathematics Sciences: Faculty Publications
We establish a Harnack inequality for a class of quasi-linear PDE modeled on the prototype∂tu=-∑i=1mXi*(|Xu|p-2Xiu) where p ≥ 2, X = (X1, . . . , X m) is a system of Lipschitz vector fields defined on a smooth manifold M endowed with a Borel measure μ, and Xi* denotes the adjoint of X i with respect to μ. Our estimates are derived assuming that (i) the control distance d generated by X induces the same topology on M; (ii) a doubling condition for the μ-measure of d-metric balls; and (iii) the validity of a Poincaré inequality involving X and …
The Inferred Cardiogenic Gene Regulatory Network In The Mammalian Heart,
2014
University of Michigan - Ann Arbor
The Inferred Cardiogenic Gene Regulatory Network In The Mammalian Heart, Jason Bazil, Karl D. Stamm, Xing Li, Raghuram Thiagarajan, Timonthy J. Nelson, Aoy Tomita-Mitchell, Daniel A. Beard
Mathematics, Statistics and Computer Science Faculty Research and Publications
Cardiac development is a complex, multiscale process encompassing cell fate adoption, differentiation and morphogenesis. To elucidate pathways underlying this process, a recently developed algorithm to reverse engineer gene regulatory networks was applied to time-course microarray data obtained from the developing mouse heart. Approximately 200 genes of interest were input into the algorithm to generate putative network topologies that are capable of explaining the experimental data via model simulation. To cull specious network interactions, thousands of putative networks are merged and filtered to generate scale-free, hierarchical networks that are statistically significant and biologically relevant. The networks are validated with known gene …
Quasi-Invariance Of Fermion Processes With J-Hermitian Kernel,
2014
Louisiana State University
Quasi-Invariance Of Fermion Processes With J-Hermitian Kernel, Giovanni Luca Torrisi
Communications on Stochastic Analysis
No abstract provided.
The Gaussian Radon Transform In Classical Wiener Space,
2014
Louisiana State University
The Gaussian Radon Transform In Classical Wiener Space, Irina Holmes, Ambar N Sengupta
Communications on Stochastic Analysis
No abstract provided.
Higher Order Approximations Via Stein's Method,
2014
Louisiana State University
Higher Order Approximations Via Stein's Method, L Coutin, L Decreusefond
Communications on Stochastic Analysis
No abstract provided.
Stability For Some Linear Stochastic Fractional Systems,
2014
Louisiana State University
Stability For Some Linear Stochastic Fractional Systems, Allan Fiel, Jorge A León, David Márquez-Carreras
Communications on Stochastic Analysis
No abstract provided.
Non-Detection Probability Of Diffusing Targets In The Presence Of A Moving Searcher,
2014
Louisiana State University
Non-Detection Probability Of Diffusing Targets In The Presence Of A Moving Searcher, Pani W Fernando, Sivaguru S Sritharan
Communications on Stochastic Analysis
No abstract provided.
Hedging In Bond Markets By The Clark-Ocone Formula,
2014
Louisiana State University
Hedging In Bond Markets By The Clark-Ocone Formula, Nicolas Privault, Timothy Robin Teng
Communications on Stochastic Analysis
No abstract provided.
Synergistic Effects Of 3d Ecm And Chemogradients On Neurite Outgrowth And Guidance: A Simple Modeling And Microfluidic Framework,
2014
Cleveland State University
Synergistic Effects Of 3d Ecm And Chemogradients On Neurite Outgrowth And Guidance: A Simple Modeling And Microfluidic Framework, Parthasarathy Srinivasan, Ioannis K. Zervantonakis, Chandrasekhar R. Kothapalli
Mathematics and Statistics Faculty Publications
During nervous system development, numerous cues within the extracellular matrix microenvironment (ECM) guide the growing neurites along specific pathways to reach their intended targets. Neurite motility is controlled by extracellular signal sensing through the growth cone at the neurite tip, including chemoattractive and repulsive cues. However, it is difficult to regenerate and restore neurite tracts, lost or degraded due to an injury or disease, in the adult central nervous system. Thus, it is important to evaluate the dynamic interplay between ECM and the concentration gradients of these cues, which would elicit robust neuritogenesis. Such information is critical in understanding the …
On The Structure Of Co-Kähler Manifolds,
2014
Instituto de Ciencias Matemáticas
On The Structure Of Co-Kähler Manifolds, Giovanni Bazzoni, John Oprea
Mathematics and Statistics Faculty Publications
By the work of Li, a compact co-Kähler manifold M is a mapping torus Kφ, where K is a Kähler manifold and φ is a Hermitian isometry. We show here that there is always a finite cyclic cover M¯¯¯¯¯ of the form M¯¯¯¯¯≅K×S1, where ≅ is equivariant diffeomorphism with respect to an action of S1 on M and the action of S1 on K×S1 by translation on the second factor. Furthermore, the covering transformations act diagonally on S1,K and are translations on the S1 factor. In this way, we see that, up to a finite cover, all compact co-Kähler manifolds …
