Open Access. Powered by Scholars. Published by Universities.^{®}
 Discipline

 Other Mathematics (472)
 Applied Mathematics (119)
 Computer Sciences (61)
 Partial Differential Equations (61)
 Numerical Analysis and Computation (60)

 Other Applied Mathematics (51)
 Physics (51)
 Nonlinear Dynamics (48)
 Theory and Algorithms (47)
 Ordinary Differential Equations and Applied Dynamics (46)
 Algebra (46)
 Other Physical Sciences and Mathematics (41)
 Dynamic Systems (40)
 Engineering Physics (39)
 Control Theory (38)
 Education (36)
 Statistics and Probability (35)
 Geometry and Topology (31)
 Science and Mathematics Education (24)
 Social and Behavioral Sciences (24)
 Oceanography and Atmospheric Sciences and Meteorology (20)
 Probability (18)
 Applied Statistics (17)
 Harmonic Analysis and Representation (16)
 Environmental Sciences (15)
 Engineering (15)
 Curriculum and Instruction (14)
 Institution

 Louisiana State University (401)
 Selected Works (98)
 SelectedWorks (55)
 University of Wyoming (24)
 Claremont Colleges (22)

 Wayne State University (18)
 Portland State University (16)
 University of Nebraska  Lincoln (15)
 University of Rhode Island (15)
 Washington University in St. Louis (14)
 University of Kentucky (14)
 University of Tennessee, Knoxville (13)
 Technological University Dublin (11)
 Western University (11)
 Trinity University (11)
 Ursinus College (11)
 Carroll College (9)
 Iowa State University (8)
 Western Washington University (7)
 City University of New York (CUNY) (7)
 The University of Maine (6)
 University of Colorado, Boulder (6)
 Chapman University (6)
 Bryant University (6)
 Connecticut College (5)
 East Tennessee State University (5)
 EmbryRiddle Aeronautical University (4)
 Marshall University (4)
 Colby College (4)
 Georgia Southern University (4)
 Keyword

 Published Research Papers (80)
 Journal articles (25)
 Mathematics (19)
 Asymptotic behavior (17)
 Conditional convergence (11)

 Differential equations (8)
 Local fractional calculus (7)
 Finite element method (7)
 Asymptotic (5)
 Complex symmetric operator (5)
 $(R (5)
 Partial differential equations (5)
 Difference equations (5)
 Fractal (5)
 Local fractional derivative (5)
 Numerical analysis (5)
 Analysis (5)
 Conference articles (4)
 Math (4)
 Functional calculus (4)
 Polynomials (4)
 Functional analysis (4)
 Eigenvalue (4)
 Geometry (4)
 Orthogonal polynomials (4)
 Eigenvalues (4)
 Complex Analysis (4)
 Fractal space (4)
 Global (4)
 Eigenvalue problem (4)
 Publication Year
 Publication

 Communications on Stochastic Analysis (400)
 William F. Trench (80)
 XiaoJun Yang (39)
 Electronic Journal of Linear Algebra (24)
 Mathematics Faculty Publications (19)

 Mathematics Faculty Research Publications (17)
 Electronic Theses and Dissertations (16)
 Theses and Major Papers (15)
 Dissertations, Theses, and Student Research Papers in Mathematics (15)
 Mathematics and Statistics Faculty Publications and Presentations (15)
 Doctoral Dissertations (13)
 Theses and DissertationsMathematics (13)
 Honors Theses (11)
 Electronic Thesis and Dissertation Repository (11)
 Mathematics (10)
 Analysis (10)
 Pomona Faculty Publications and Research (10)
 Ushangi Goginava (9)
 Articles (9)
 Mathematics, Engineering and Computer Science Undergraduate Theses (9)
 Sergo Armenak Episkoposian (Yepiskoposyan) (6)
 Mathematics, Physics, and Computer Science Faculty Articles and Research (6)
 Journal of Humanistic Mathematics (5)
 All Dissertations, Theses, and Capstone Projects (5)
 Honors Projects in Mathematics (5)
 Theses and Dissertations (5)
 Faculty Publications (4)
 Math and Computer Science Faculty Publications (4)
 Theses, Dissertations and Capstones (4)
 Mathematical Sciences Technical Reports (MSTR) (4)
 Publication Type
 File Type
Articles 1  30 of 943
FullText Articles in Analysis
An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith
An Anatomical And Functional Analysis Of Digital Arteries, Katie Highsmith
Student Scholar Showcase
Blood flow to the tissue of the hands and digits is efficiently regulated by vasoconstriction and vasodilation. Through a series of cadaveric dissection, we examined arteries in the hands and digits, including ulnar artery, radial artery, palmar arteries, and digital arteries, for their distribution (branching) patterns and morphological parameters (e.g., thickness, length between branches, external and internal diameters). Using data directly collected from three female cadavers as input variables to our mathematical model, we simulated vasoconstriction (20% and 10% diameter) and vasodilation (+10% and +20 diameter) to evaluate the extent of changes in blood volume and flow within the ...
Fourier Series Expansion Methods For The Heat And Wave Equations In Two And Three Dimensions On Spherical Domains, Matthew Eller
Fourier Series Expansion Methods For The Heat And Wave Equations In Two And Three Dimensions On Spherical Domains, Matthew Eller
Student Research and Creative Activity Fair
Description: The Fourier series expansion method is an invaluable approach to solving partial differential equations, including the heat and wave equations. For homogeneous heat and wave equations, the solution can readily be found through separation of variables and then expansion of the solution in terms of the eigenfunctions. Solutions to inhomogeneous heat and wave equations through Fourier series expansion methods were not readily available in the literature for two and threedimensional cases. In my previous paper, I developed an approach for solving inhomogeneous heat and wave equations on cubic domains using Fourier series expansion methods. I shall extend my general ...
InSphere Property And Reverse Inequalities For Matrix Means, Trung Hoa Dinh, TinYau Tam, Bich Khue T Vo
InSphere Property And Reverse Inequalities For Matrix Means, Trung Hoa Dinh, TinYau Tam, Bich Khue T Vo
Electronic Journal of Linear Algebra
The insphere property for matrix means is studied. It is proved that the matrix power mean satisfies insphere property with respect to the HilbertSchmidt norm. A new characterization of the matrix arithmetic mean is provided. Some reverse AGM inequalities involving unitarily invariant norms and operator monotone functions are also obtained.
Improving Vix Futures Forecasts Using Machine Learning Methods, James Hosker, Slobodan Djurdjevic, Hieu Nguyen, Robert Slater
Improving Vix Futures Forecasts Using Machine Learning Methods, James Hosker, Slobodan Djurdjevic, Hieu Nguyen, Robert Slater
SMU Data Science Review
The problem of forecasting market volatility is a difficult task for most fund managers. Volatility forecasts are used for risk management, alpha (risk) trading, and the reduction of trading friction. Improving the forecasts of future market volatility assists fund managers in adding or reducing risk in their portfolios as well as in increasing hedges to protect their portfolios in anticipation of a market selloff event. Our analysis compares three existing financial models that forecast future market volatility using the Chicago Board Options Exchange Volatility Index (VIX) to six machine/deep learning supervised regression methods. This analysis determines which models provide ...
Composition Of Gaussian Noises From Successive Convex Integrations, Amites Dasgupta
Composition Of Gaussian Noises From Successive Convex Integrations, Amites Dasgupta
Communications on Stochastic Analysis
No abstract provided.
Random Matrices, Continuous Circular Systems And The Triangular Operator, Romuald Lenczewski
Random Matrices, Continuous Circular Systems And The Triangular Operator, Romuald Lenczewski
Communications on Stochastic Analysis
No abstract provided.
Generalized Stochastic Burgers' Equation With NonLipschitz Diffusion Coefficient, Vivek Kumar, Ankik Kumar Giri
Generalized Stochastic Burgers' Equation With NonLipschitz Diffusion Coefficient, Vivek Kumar, Ankik Kumar Giri
Communications on Stochastic Analysis
No abstract provided.
Global Strong Solutions Of The Stochastic Three Dimensional Inviscid Simplified Bardina Turbulence Model, Manil T. Mohan
Global Strong Solutions Of The Stochastic Three Dimensional Inviscid Simplified Bardina Turbulence Model, Manil T. Mohan
Communications on Stochastic Analysis
No abstract provided.
Limiting Means For Spherical Slices, Amy Peterson, Ambar Sengupta
Limiting Means For Spherical Slices, Amy Peterson, Ambar Sengupta
Communications on Stochastic Analysis
No abstract provided.
Normally Ordered Disentanglement Of MultiDimensional Schrödinger Algebra Exponentials, Luigi Accardi, Andreas Boukas
Normally Ordered Disentanglement Of MultiDimensional Schrödinger Algebra Exponentials, Luigi Accardi, Andreas Boukas
Communications on Stochastic Analysis
No abstract provided.
Exponential Inequalities For Exit Times For Stochastic NavierStokes Equations And A Class Of Evolutions, PoHan Hsu, Padamanbhan Sundar
Exponential Inequalities For Exit Times For Stochastic NavierStokes Equations And A Class Of Evolutions, PoHan Hsu, Padamanbhan Sundar
Communications on Stochastic Analysis
No abstract provided.
Catalytic Deoxygenation Of Model And Realistic Feeds To FuelLike Hydrocarbons Over Supported NickelCopper Catalysts, Deyshon Ward, Kazi Javed
Catalytic Deoxygenation Of Model And Realistic Feeds To FuelLike Hydrocarbons Over Supported NickelCopper Catalysts, Deyshon Ward, Kazi Javed
PostersattheCapitol
The goal was to make a renewable fuel by using catalysts to remove oxygen molecules from fats. This is a current issue that society faces today because nonrenewable fossil fuels hurt the environment more than they help it. There are two components that make up a heterogeneous catalyst, a support and a reduced metal active phase. The active metal phases Nickel, Palladium, Platinum have been studied in the past on an alumina and carbon supports. We were investigating other supports using Nickel as the active phase component to determine the effect the support has on the catalyst removing oxygen of ...
Bounded Linear Operators That Preserve The Weak Supermajorization On $\Ell^1(I)^+$, Martin Z. Ljubenović, Dragan S. Djordjevic
Bounded Linear Operators That Preserve The Weak Supermajorization On $\Ell^1(I)^+$, Martin Z. Ljubenović, Dragan S. Djordjevic
Electronic Journal of Linear Algebra
Linear preservers of weak supermajorization which is defined on positive functions contained in the discrete Lebesgue space $\ell^1(I)$ are characterized. Two different classes of operators that preserve the weak supermajorization are formed. It is shown that every linear preserver may be decomposed as sum of two operators from the above classes, and conversely, the sum of two operators which satisfy an additional condition is a linear preserver. Necessary and sufficient conditions under which a bounded linear operator is a linear preserver of the weak supermajorization are given. It is concluded that positive linear preservers of the weak supermajorization ...
A Decomposition Of A Space Of Multiple Wiener Integrals By The Difference Of Two Independent Lévy Processes In Terms Of The Lévy Laplacian, Atsushi Ishikawa
A Decomposition Of A Space Of Multiple Wiener Integrals By The Difference Of Two Independent Lévy Processes In Terms Of The Lévy Laplacian, Atsushi Ishikawa
Communications on Stochastic Analysis
No abstract provided.
An Asymptotic Comparison Of Two TimeHomogeneous Pam Models, HyunJung Kim, Sergey Vladimir Lototsky
An Asymptotic Comparison Of Two TimeHomogeneous Pam Models, HyunJung Kim, Sergey Vladimir Lototsky
Communications on Stochastic Analysis
No abstract provided.
A Stochastic Integral By A NearMartingale, Shinya Hibino, HuiHsiung Kuo, Kimiaki Saitô
A Stochastic Integral By A NearMartingale, Shinya Hibino, HuiHsiung Kuo, Kimiaki Saitô
Communications on Stochastic Analysis
No abstract provided.
Reversibility Checking For Markov Chains, P. H. Brill, Chi Ho Cheung, Myron Hlynka, Q. Jiang
Reversibility Checking For Markov Chains, P. H. Brill, Chi Ho Cheung, Myron Hlynka, Q. Jiang
Communications on Stochastic Analysis
No abstract provided.
Parametric Family Of Sdes Driven By Lévy Noise, Suprio Bhar, Barun Sarkar
Parametric Family Of Sdes Driven By Lévy Noise, Suprio Bhar, Barun Sarkar
Communications on Stochastic Analysis
No abstract provided.
Directional Malliavin Derivatives: A Characterisation Of Independence And A Generalised Chain Rule, Stefan Koch
Directional Malliavin Derivatives: A Characterisation Of Independence And A Generalised Chain Rule, Stefan Koch
Communications on Stochastic Analysis
No abstract provided.
Nonlocal Diffusions And The Quantum BlackScholes Equation: Modelling The Market Fear Factor, Will Hicks
Nonlocal Diffusions And The Quantum BlackScholes Equation: Modelling The Market Fear Factor, Will Hicks
Communications on Stochastic Analysis
No abstract provided.
Topological Vector Spaces, Chunqing Li
Topological Vector Spaces, Chunqing Li
Major Papers
This major paper is a report on author’s study of some topics on topological vector spaces. We prove a wellknown HahnBanach theorem and some important consequences, including several separation and extension theorems. We study the weak topology on a topological vector space X and the weakstar topology on the dual space X* of X. We also prove the BanachAlaoglu theorem. Consequently, we characterize the closed convex hull and the closed linear span for sets in X and X* , identify the dual of a subspace of X with the quotient of its annihilator, and obtain the Goldstine theorem as well ...
Equivalent Constructions Of Cartan Pairs, Phung Thanh Tran
Equivalent Constructions Of Cartan Pairs, Phung Thanh Tran
Math Theses
Feldman and Moore [4] introduce Cartan subalgebra of the von Neumann algebra M on a separable Hilbert space H from the natural subalgebra of M(R, sigma), the twisted algebra of matrices over the relation R on a Borel space (X, B, muy). They show that if M has a Cartan subalgebra A, then M is isomorphic to M(R, sigma) where A is the twisted algebra onto the diagonal subalgebra L^inf (X, muy). The relation R is unique to isomorphism and the orbit of the twocohomology class on R in the torus T, which is the automorphism group ...
Yelp’S Review Filtering Algorithm, Yao Yao, Ivelin Angelov, Jack RasmusVorrath, Mooyoung Lee, Daniel W. Engels
Yelp’S Review Filtering Algorithm, Yao Yao, Ivelin Angelov, Jack RasmusVorrath, Mooyoung Lee, Daniel W. Engels
SMU Data Science Review
In this paper, we present an analysis of features influencing Yelp's proprietary review filtering algorithm. Classifying or misclassifying reviews as recommended or nonrecommended affects average ratings, consumer decisions, and ultimately, business revenue. Our analysis involves systematically sampling and scraping Yelp restaurant reviews. Features are extracted from review metadata and engineered from metrics and scores generated using text classifiers and sentiment analysis. The coefficients of a multivariate logistic regression model were interpreted as quantifications of the relative importance of features in classifying reviews as recommended or nonrecommended. The model classified review recommendations with an accuracy of 78%. We found that ...
Positive Solutions Of The System Of Operator Equations $A_1x=C_1,Xa_2=C_2, A_3xa^*_3=C_3, A_4xa^*_4=C_4$ In Hilbert $C^*$Modules, Rasoul Eskandari, Xiaochun Fang, Mohammad Sal Moslehian, Qingxiang Xu
Positive Solutions Of The System Of Operator Equations $A_1x=C_1,Xa_2=C_2, A_3xa^*_3=C_3, A_4xa^*_4=C_4$ In Hilbert $C^*$Modules, Rasoul Eskandari, Xiaochun Fang, Mohammad Sal Moslehian, Qingxiang Xu
Electronic Journal of Linear Algebra
Necessary and sufficient conditions are given for the operator system $A_1X=C_1$, $XA_2=C_2$, $A_3XA^*_3=C_3$, and $A_4XA^*_4=C_4$ to have a common positive solution, where $A_i$'s and $C_i$'s are adjointable operators on Hilbert $C^*$modules. This corrects a published result by removing some gaps in its proof. Finally, a technical example is given to show that the proposed investigation in the setting of Hilbert $C^*$modules is different from that of Hilbert spaces.
Three Examples Of Mondoromy Groups, Alice A. Wise
Three Examples Of Mondoromy Groups, Alice A. Wise
Electronic Theses and Dissertations
This thesis illustrates the notion of the Monodromy group of a global analytic function through three examples. One is a relatively simple finite example; the others are more complicated infinite cases, one abelian and one nonabelian, which show connections to other parts of mathematics.
The HilbertHuang Transform: A Theoretical Framework And Applications To Leak Identification In Pressurized Space Modules, Kenneth R. Bundy
The HilbertHuang Transform: A Theoretical Framework And Applications To Leak Identification In Pressurized Space Modules, Kenneth R. Bundy
Electronic Theses and Dissertations
Any manned space mission must provide breathable air to its crew. For this reason, air leaks in spacecraft pose a danger to the mission and any astronauts on board. The purpose of this work is twofold: the first is to address the issue of air pressure loss from leaks in spacecraft. Air leaks present a danger to spacecraft crew, and so a method of finding air leaks when they occur is needed. Most leak detection systems localize the leak in some way. Instead, we address the identification of air leaks in a pressurized space module, we aim to determine the ...
Applications Of Game Theory, Tableau, Analytics, And R To Fashion Design, Aisha Asiri
Applications Of Game Theory, Tableau, Analytics, And R To Fashion Design, Aisha Asiri
Electronic Theses & Dissertations Collection for Atlanta University & Clark Atlanta University
This thesis presents various models to the fashion industry to predict the profits for some products. To determine the expected performance of each product in 2016, we used tools of game theory to help us identify the expected value. We went further and performed a simple linear regression and used scatter plots to help us predict further the performance of the products of Prada. We used tools of game theory, analytics, and statistics to help us predict the performance of some of Prada's products. We also used the Tableau platform to visualize an overview of the products' performances. All ...
Some Graphs Determined By Their Distance Spectrum, Stephen Drury, Huiqiu Lin
Some Graphs Determined By Their Distance Spectrum, Stephen Drury, Huiqiu Lin
Electronic Journal of Linear Algebra
Let $G$ be a connected graph with order $n$. Let $\lambda_1(D(G))\geq \cdots\geq \lambda_n(D(G))$ be the distance spectrum of $G$. In this paper, it is shown that the complements of $P_n$ and $C_n$ are determined by their $D$spectrum. Moreover, it is shown that the cycle $C_n$ ($n$ odd) is also determined by its $D$spectrum.
A Discrete Time Approximations For Certain Class Of OneDimensional Backward Stochastic Differential Equations Via Girsanov's Theorem, Aissa Sghir, Driss Seghir, Soukaina Hadiri
A Discrete Time Approximations For Certain Class Of OneDimensional Backward Stochastic Differential Equations Via Girsanov's Theorem, Aissa Sghir, Driss Seghir, Soukaina Hadiri
Communications on Stochastic Analysis
No abstract provided.
Symmetric Weighted OddPower Variations Of Fractional Brownian Motion And Applications, David Nualart, Raghid Zeineddine
Symmetric Weighted OddPower Variations Of Fractional Brownian Motion And Applications, David Nualart, Raghid Zeineddine
Communications on Stochastic Analysis
No abstract provided.