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Articles 31 - 60 of 541
Full-Text Articles in Mathematics
Markov Semigroups And Estimating Functions, With Applications To Some Financial Models, Jerome A Goldstein, Rosa Maria Mininni, Silvia Romanelli
Markov Semigroups And Estimating Functions, With Applications To Some Financial Models, Jerome A Goldstein, Rosa Maria Mininni, Silvia Romanelli
Communications on Stochastic Analysis
No abstract provided.
The Substitution Theorem For Semilinear Stochastic Partial Differential Equations, Salah-Eldin A. Mohammed, Tusheng Zhang
The Substitution Theorem For Semilinear Stochastic Partial Differential Equations, Salah-Eldin A. Mohammed, Tusheng Zhang
Articles and Preprints
In this article we establish a substitution theorem for semilinear stochastic evolution equations (see's) depending on the initial condition as an infinite-dimensional parameter. Due to the infinitedimensionality of the initial conditions and of the stochastic dynamics, existing finite-dimensional results do not apply. The substitution theorem is proved using Malliavin calculus techniques together with new estimates on the underlying stochastic semiflow. Applications of the theorem include dynamic characterizations of solutions of stochastic partial differential equations (spde's) with anticipating initial conditions and non-ergodic stationary solutions. In particular, our result gives a new existence theorem for solutions of semilinear Stratonovich spde's with anticipating …
Templated Fabrication Of Large Area Subwavelength Antireflection Gratings On Silicon, Chih-Hung Sun, Wei-Lun Min, Nicholas C. Linn, Peng Jiang, Bin Jiang
Templated Fabrication Of Large Area Subwavelength Antireflection Gratings On Silicon, Chih-Hung Sun, Wei-Lun Min, Nicholas C. Linn, Peng Jiang, Bin Jiang
Mathematics and Statistics Faculty Publications and Presentations
We report a cheap and scalable bottom-up technique for fabricating wafer-scale, subwavelength-structured antireflection coatings on single-crystalline silicon substrates. Spin-coated monolayer colloidal crystals are utilized as shadow masks to generate metallic nanohole arrays. Inverted pyramid arrays in silicon can then be templated against nanoholes by anisotropic wet etching. The resulting subwavelength gratings greatly suppress specular reflection at normal incidence. The reflection spectra for flat silicon and the templated gratings at long wavelengths agree well with the simulated results using a rigorous coupled wave analysis model. These subwavelength gratings are of great technological importance in crystalline silicon solar cells.
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface, Florin Vasile Badiu
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface, Florin Vasile Badiu
Mathematics Dissertations - Archive
Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ground confirms results from literature, and explores new cases. Numerical simulations can provide results in the study of the clattering impacts of a 3D body colliding with the ground. For a simplification of the analytical calculations, a rectangular plate without thickness is studied. In this case, a comparison between the numerical method, which is a continuous contact method, and the analytical …
A Random Change Of Variables And Applications To The Stochastic Porous Medium Equation With Multiplicative Time Noise, S V Lototsky
A Random Change Of Variables And Applications To The Stochastic Porous Medium Equation With Multiplicative Time Noise, S V Lototsky
Communications on Stochastic Analysis
No abstract provided.
Portfolio Optimization With Consumption In A Fractional Black-Scholes Market, Yalçin Sarol, Frederi G Viens, Tao Zhang
Portfolio Optimization With Consumption In A Fractional Black-Scholes Market, Yalçin Sarol, Frederi G Viens, Tao Zhang
Communications on Stochastic Analysis
No abstract provided.
Local Theorems Related To Lévy-Type Branching Mechanism, Vladimir Vinogradov
Local Theorems Related To Lévy-Type Branching Mechanism, Vladimir Vinogradov
Communications on Stochastic Analysis
No abstract provided.
Functional Limit Theorems For Trace Processes In A Dyson Brownian Motion, Victor Pérez-Abreu, Constantin Tudor
Functional Limit Theorems For Trace Processes In A Dyson Brownian Motion, Victor Pérez-Abreu, Constantin Tudor
Communications on Stochastic Analysis
No abstract provided.
Almost Any State Of Any Amplitude Markov Chain Is Recurrent, Luigi Accardi, Hiromichi Ohno
Almost Any State Of Any Amplitude Markov Chain Is Recurrent, Luigi Accardi, Hiromichi Ohno
Communications on Stochastic Analysis
No abstract provided.
Schrödinger Type Equation Associated With The Lévy And Volterra Laplacians, Kazuyoshi Sakabe
Schrödinger Type Equation Associated With The Lévy And Volterra Laplacians, Kazuyoshi Sakabe
Communications on Stochastic Analysis
No abstract provided.
Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System, P Sundar, Hong Yin
Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System, P Sundar, Hong Yin
Communications on Stochastic Analysis
No abstract provided.
The Characterization Of A Class Of Probability Measures By Multiplicative Renormalization, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli
The Characterization Of A Class Of Probability Measures By Multiplicative Renormalization, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli
Communications on Stochastic Analysis
No abstract provided.
On Mathematical Modeling, Nonlinear Properties And Stability Of Secondary Flow In A Dendrite Layer, Daniel N. Riahi
On Mathematical Modeling, Nonlinear Properties And Stability Of Secondary Flow In A Dendrite Layer, Daniel N. Riahi
School of Mathematical & Statistical Sciences Faculty Publications
This paper studies instabilities in the flow of melt within a horizontal dendrite layer with deformed upper boundary and in the presence or absence of rotation during the solidification of a binary alloy. In the presence of rotation, it is assumed that the layer is rotating about a vertical axis at a constant angular velocity. Linear and weakly nonlinear stability analyses provide results about various flow features such as the critical mode of convection, neutral stability curve, preferred flow pattern and the solid fraction distribution within the dendrite layer. The preferred shape of the deformed upper boundary of the layer, …
Analysis And Implementation Of High-Order Compact Finite Difference Schemes, Jonathan G. Tyler
Analysis And Implementation Of High-Order Compact Finite Difference Schemes, Jonathan G. Tyler
Theses and Dissertations
The derivation of centered compact schemes at interior and boundary grid points is performed and an analysis of stability and computational efficiency is given. Compact schemes are high order implicit methods for numerical solutions of initial and/or boundary value problems modeled by differential equations. These schemes generally require smaller stencils than the traditional explicit finite difference counterparts. To avoid numerical instabilities at and near boundaries and in regions of mesh non-uniformity, a numerical filtering technique is employed. Experiments for non-stationary linear problems (convection, heat conduction) and also for nonlinear problems (Burgers' and KdV equations) were performed. The compact solvers were …
A Delayed Option Pricing Formula (Mittag-Leffler Institute Workshop), Salah-Eldin A. Mohammed
A Delayed Option Pricing Formula (Mittag-Leffler Institute Workshop), Salah-Eldin A. Mohammed
Miscellaneous (presentations, translations, interviews, etc)
No abstract provided.
A Delayed Option Pricing Formula (University Of Manchester Probability Seminar), Salah-Eldin A. Mohammed
A Delayed Option Pricing Formula (University Of Manchester Probability Seminar), Salah-Eldin A. Mohammed
Miscellaneous (presentations, translations, interviews, etc)
No abstract provided.
Deformable Image Registration With Inclusion Of Auto-Detected Homologous Tissue Features, Y. Xie, Lei Xing, Dana C. Paquin, Doron Levy, T. Yang
Deformable Image Registration With Inclusion Of Auto-Detected Homologous Tissue Features, Y. Xie, Lei Xing, Dana C. Paquin, Doron Levy, T. Yang
Mathematics
No abstract provided.
Sphere Packing, Lattices, And Epstein Zeta Function, Lenny Fukshansky
Sphere Packing, Lattices, And Epstein Zeta Function, Lenny Fukshansky
CMC Faculty Publications and Research
The sphere packing problem in dimension N asks for an arrangement of non-overlapping spheres of equal radius which occupies the largest possible proportion of the corresponding Euclidean space. This problem has a long and fascinating history. In 1611 Johannes Kepler conjectured that the best possible packing in dimension 3 is obtained by a face centered cubic and hexagonal arrangements of spheres. A proof of this legendary conjecture has finally been published in 2005 by Thomas Hales. The analogous problem in dimension 2 has been solved by Laszlo Fejes Toth in 1940, and this really is the extent of our current …
The Correlation Coefficients, Rudy Gideon
The Correlation Coefficients, Rudy Gideon
Mathematical Sciences Faculty Publications
A generalized method of defining and interpreting correlation coefficients is given. Seven correlation coefficients are defined — three for continuous data and four on the ranks of the data. A quick calculation of the rank based correlation coefficients using a 0-1 graph-matrix is shown. Examples and comparisons are given.
Macroscopic Consequences Of Calcium Signaling In Microdomains: A First-Passage-Time Approach, Robert Rovetti
Macroscopic Consequences Of Calcium Signaling In Microdomains: A First-Passage-Time Approach, Robert Rovetti
Mathematics, Statistics and Data Science Faculty Works
Calcium (Ca) plays an important role in regulating various cellular processes. In a variety of cell types, Ca signaling occurs within microdomains where channels deliver localized pulses of Ca activating a nearby collection of Ca-sensitive receptors. The small number of channels involved ensures that the signaling process is stochastic. The aggregate response of several thousand of these microdomains yields a whole-cell response which dictates the cell behavior. Here, we study the statistical properties of a population of these microdomains in response to a trigger signal. We use a first-passage-time approach to show analytically how Ca release in the whole cell …
Relative Pareto Minimizers To Multiobjective Problems: Existence And Optimality Conditions, Truong Q. Bao, Boris S. Mordukhovich
Relative Pareto Minimizers To Multiobjective Problems: Existence And Optimality Conditions, Truong Q. Bao, Boris S. Mordukhovich
Mathematics Research Reports
In this paper we introduce and study enhanced notions of relative Pareto minimizers to constrained multiobjective problems that are defined via several kinds of relative interiors of ordering cones and occupy intermediate positions between the classical notions of Pareto and weak Pareto efficiency/minimality. Using advanced tools of variational analysis and generalized differentiation, we establish the existence of relative Pareto minimizers to general multiobjective problems under a refined version of the subdifferential Palais-Smale condition for set-valued mappings with values in partially ordered spaces and then derive necessary optimality conditions for these minimizers (as well as for conventional efficient and weak efficient …
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), …
On Enumeration Of Conjugacy Classes Of Coxeter Elements, Matthew Macauley, Henning S. Mortveit
On Enumeration Of Conjugacy Classes Of Coxeter Elements, Matthew Macauley, Henning S. Mortveit
Publications
In this paper we study the equivalence relation on the set of acyclic orientations of a graph Y that arises through source-to-sink conversions. This source-to-sink conversion encodes, e.g. conjugation of Coxeter elements of a Coxeter group. We give a direct proof of a recursion for the number of equivalence classes of this relation for an arbitrary graph Y using edge deletion and edge contraction of non-bridge edges. We conclude by showing how this result may also be obtained through an evaluation of the Tutte polynomial as T (Y, 1, 0), and we provide bijections to two other classes of acyclic …
Problem Solving And Proving Via Generalisation, Michael De Villiers, Mary Garner
Problem Solving And Proving Via Generalisation, Michael De Villiers, Mary Garner
Faculty Articles
No abstract provided.
Rigidity Of Gradient Ricci Solitons, Peter Petersen, William Wylie
Rigidity Of Gradient Ricci Solitons, Peter Petersen, William Wylie
Mathematics - All Scholarship
We define a gradient Ricci soliton to be rigid if it is a flat bundle N*GammaRk where N is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons. Other related results on rigidity of Ricci solitons are also explained in the last section.
Band Unfoldings And Prismatoids: A Counterexample, Joseph O'Rourke
Band Unfoldings And Prismatoids: A Counterexample, Joseph O'Rourke
Computer Science: Faculty Publications
This note shows that the hope expressed in [ADL+07]--that the new algorithm for edge-unfolding any polyhedral band without overlap might lead to an algorithm for unfolding any prismatoid without overlap--cannot be realized. A prismatoid is constructed whose sides constitute a nested polyhedral band, with the property that every placement of the prismatoid top face overlaps with the band unfolding.
Image Reconstruction In Multi-Channel Model Under Gaussian Noise, Veera Holdai, Alexander Korostelev
Image Reconstruction In Multi-Channel Model Under Gaussian Noise, Veera Holdai, Alexander Korostelev
Mathematics Research Reports
The image reconstruction from noisy data is studied. A nonparametric boundary function is estimated from observations in N independent channels in Gaussian white noise. In each channel the image and the background intensities are unknown. They define a non-identifiable nuisance "parameter" that slows down the typical minimax rate of convergence. The large sample asymptotics of the minimax risk is found and an asymptotically optimal estimator for boundary function is suggested.
2007 (Fall), University Of Dayton. Department Of Mathematics
2007 (Fall), University Of Dayton. Department Of Mathematics
Colloquia
Abstracts of the talks given at the 2007 Fall Colloquium.
A Nifty Tool For Studying Program And System Behaviors: Nifty Tools, Pete Sanderson, Kenneth Vollmar
A Nifty Tool For Studying Program And System Behaviors: Nifty Tools, Pete Sanderson, Kenneth Vollmar
Mathematics Faculty Scholarship
MARS is an integrated development environment (IDE) and simulator for MIPS assembly language programming. New features enable MARS to be a useful tool for discovery and experimentation even in courses that do not involve assembly language programming.
Fixed Points Of Abelian Actions On S2, John Franks, Michael Handel, Kamlesh Parwani
Fixed Points Of Abelian Actions On S2, John Franks, Michael Handel, Kamlesh Parwani
Faculty Research and Creative Activity
We prove that if $F$ is a finitely generated abelian group of orientation preserving $C^1$ diffeomorphisms of $R^2$ which leaves invariant a compact set then there is a common fixed point for all elements of $F.$ We also show that if $F$ is any abelian subgroup of orientation preserving $C^1$ diffeomorphisms of $S^2$ then there is a common fixed point for all elements of a subgroup of $F$ with index at most two.