Survey Of Results On The Schrodinger Operator With Inverse Square Potential,
2018
Georgia Southern University
Survey Of Results On The Schrodinger Operator With Inverse Square Potential, Richardson Saint Bonheur
College of Graduate Studies: Theses & Dissertations
In this paper we present a survey of results on the Schrodinger operator with Inverse ¨ Square potential, La= −∆ + a/|x|^2 , a ≥ −( d−2/2 )^2. We briefly discuss the long-time behavior of solutions to the inter-critical focusing NLS with an inverse square potential(proof not provided). Later we present spectral multiplier theorems for the operator. For the case when a ≥ 0, we present the multiplier theorem from Hebisch [12]. The case when 0 > a ≥ −( d−2/2 )^2 was explored in [1], and their proof will be presented for completeness. No improvements on the sharpness …
Onsager Reciprocal Relations: Microscopic (Onsager) Or Macroscopic (Sliepcevich),
2018
University of Arkansas - Main Campus
Onsager Reciprocal Relations: Microscopic (Onsager) Or Macroscopic (Sliepcevich), R. E. "Buddy" Babcock
Chemical Engineering Faculty Publications and Presentations
This paper is a combination of the discussion of two nineteenth century theoretical giants Lars Onsager and C. M. Sliepcevich, their works in general, and specifically the famous reciprocal relations of Onsager with respect to irreversible thermodynamics. Emphasis is placed on their penetrating depth and breadth of analysis so inherently necessary in their problem-solving endeavors. The landscape of their work will be laid out for the reader by a comparison of Onsager’s microscopic statistical mechanics derivation of the famous reciprocal relationships and a macroscopic thermodynamic derivation published by C. M. Sliepsevich that led to considerable discussion in the literature in …
On The Density Of The Odd Values Of The Partition Function,
2018
Michigan Technological University
On The Density Of The Odd Values Of The Partition Function, Samuel Judge
Dissertations, Master's Theses and Master's Reports
The purpose of this dissertation is to introduce a new approach to the study of one of the most basic and seemingly intractable problems in partition theory, namely the conjecture that the partition function $p(n)$ is equidistributed modulo $2$. We provide a doubly-indexed, infinite family of conjectural identities in the ring of series $\Z_2[[q]]$, which relate $p(n)$ with suitable $t$-multipartition functions, and show how to, in principle, prove each such identity. We will exhibit explicit proofs for $32$ of our identities. However, the conjecture remains open in full generality. A striking consequence of these conjectural identities is that, under suitable …
Fliess Operator Representations Of Markov Jump Nonlinear Systems And Their Parallel Interconnections,
2018
University of Vermont
Fliess Operator Representations Of Markov Jump Nonlinear Systems And Their Parallel Interconnections, Luis A. Duffaut Espinosa, W. Steven Gray
Electrical & Computer Engineering Faculty Publications
This paper provides a Fliess operator representation for a class of continuous-time Markov jump nonlinear systems. This representation allows one to describe the parallel sum and product interconnections of such systems. The paper concludes by showing that all parallel interconnections preserves rationality when the component operators have rational generating series.
Weighted Inequalities For Dyadic Operators Over Spaces Of Homogeneous Type,
2017
University of New Mexico
Weighted Inequalities For Dyadic Operators Over Spaces Of Homogeneous Type, David Edward Weirich
Mathematics & Statistics ETDs
A so-called space of homogeneous type is a set equipped with a quasi-metric and a doubling measure. We give a survey of results spanning the last few decades concerning the geometric properties of such spaces, culminating in the description of a system of dyadic cubes in this setting whose properties mirror the more familiar dyadic lattices in R^n . We then use these cubes to prove a result pertaining to weighted inequality theory over such spaces. We develop a general method for extending Bellman function type arguments from the real line to spaces of homogeneous type. Finally, we uses this …
Statistical Analysis Of Momentum In Basketball,
2017
Bowling Green State University
Statistical Analysis Of Momentum In Basketball, Mackenzi Stump
Honors Projects
The “hot hand” in sports has been debated for as long as sports have been around. The debate involves whether streaks and slumps in sports are true phenomena or just simply perceptions in the mind of the human viewer. This statistical analysis of momentum in basketball analyzes the distribution of time between scoring events for the BGSU Women’s Basketball team from 2011-2017. We discuss how the distribution of time between scoring events changes with normal game factors such as location of the game, game outcome, and several other factors. If scoring events during a game were always randomly distributed, or …
Ostrowski Type Fractional Integral Operators For Generalized (𝒓;𝒔,𝒎,𝝋)−Preinvex Functions,
2017
Ismail Qemali University
Ostrowski Type Fractional Integral Operators For Generalized (𝒓;𝒔,𝒎,𝝋)−Preinvex Functions, A. Kashuri, R. Liko
Applications and Applied Mathematics: An International Journal (AAM)
In the present paper, the notion of generalized (𝑟;𝑠,𝑚,𝜑)−preinvex function is applied to establish some new generalizations of Ostrowski type inequalities via fractional integral operators. These results not only extend the results appeared in the literature but also provide new estimates on these type.
Certain Integrals Associated With The Generalized Bessel-Maitland Function,
2017
Wollo University
Certain Integrals Associated With The Generalized Bessel-Maitland Function, D. L. Suthar, Hafte Amsalu
Applications and Applied Mathematics: An International Journal (AAM)
The aim of this paper is to establish two general finite integral formulas involving the generalized Bessel-Maitland functions Jμ,γν,q (z). The result given in terms of generalized (Wright’s) hypergeometric functions pΨq and generalized hypergeometric functions pFq . These results are obtained with the help of finite integral due to Lavoie and Trottier. Some interesting special cases involving Bessel-Maitland function, Struve’s functions, Bessel functions, generalized Bessel functions, Wright function, generalized Mittag-Leffler functions are deduced.
Farlie-Gumbel-Morgenstern Family: Equivalence Of Uncorrelation And Independence,
2017
University of Zabol
Farlie-Gumbel-Morgenstern Family: Equivalence Of Uncorrelation And Independence, G. Barmalzan, F. Vali
Applications and Applied Mathematics: An International Journal (AAM)
Considering the characteristics of the bivariate normal distribution, in which uncorrelation of two random variables is equivalent to their independence, it is interesting to verify this problem in other distributions. In other words, whether the multivariate normal distribution is the only distribution in which uncorrelation is equivalent to independence. In this paper, we answer to this question and establish generalized Farlie-Gumbel-Morgenstern (FGM) family is another family of distributions under which uncorrelation is equivalent to independence.
Fractional Order Thermoelastic Deflection In A Thin Circular Plate,
2017
Dr. Ambedkar College
Fractional Order Thermoelastic Deflection In A Thin Circular Plate, J. J. Tripathi, S. D. Warbhe, K. C. Deshmukh, J. Verma
Applications and Applied Mathematics: An International Journal (AAM)
In this work, a quasi-static uncoupled theory of thermoelasticity based on time fractional heat conduction equation is used to model a thin circular plate, whose lower surface is maintained at zero temperature whereas the upper surface is insulated. The edge of the circular plate is fixed and clamped. Integral transform technique is used to derive the analytical solutions in the physi-cal domain. The numerical results for temperature distributions and thermal deflection are com-puted and represented graphically for Copper material.
Some Pre-Filters In Eq-Algebras,
2017
Kerman Branch Islamic Azad University
Some Pre-Filters In Eq-Algebras, M. Behzadi, L. Torkzadeh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, the notion of an obstinate prefilter (filter) in an EQ-algebra ξ is introduced and a characterization of it is obtained by some theorems. Then the notion of maximal prefilter is defined and is characterized under some conditions. Finally, the relations among obstinate, prime, maximal, implicative and positive implicative prefilters are studied.
On The Lp-Spaces Techniques In The Existence And Uniqueness Of The Fuzzy Fractional Korteweg-De Vries Equation’S Solution,
2017
Payame Noor University
On The Lp-Spaces Techniques In The Existence And Uniqueness Of The Fuzzy Fractional Korteweg-De Vries Equation’S Solution, F. Farahrooz, A. Ebadian, S. Najafzadeh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, is proposed the existence and uniqueness of the solution of all fuzzy fractional differential equations, which are equivalent to the fuzzy integral equation. The techniques on LP-spaces are used, defining the LpF F ([0; 1]) for 1≤P≤∞, its properties, and using the functional analysis methods. Also the convergence of the method of successive approximations used to approximate the solution of fuzzy integral equation be proved and an iterative procedure to solve such equations is presented.
Thermoelastic Analysis Of A Nonhomogeneous Hollow Cylinder With Internal Heat Generation,
2017
RTM Nagpur University
Thermoelastic Analysis Of A Nonhomogeneous Hollow Cylinder With Internal Heat Generation, V. R. Manthena, N. K. Lamba, G. D. Kedar
Applications and Applied Mathematics: An International Journal (AAM)
In the present paper, we have determined the heat conduction and thermal stresses of a hollow cylinder with inhomogeneous material properties and internal heat generation. All the material properties except Poisson’s ratio and density are assumed to be given by a simple power law in axial direction. We have obtained the solution of the two dimensional heat conduction equation in the transient state in terms of Bessel’s and trigonometric functions. The influence of inhomogeneity on the thermal and mechanical behavior is examined. Numerical computations are carried out for both homogeneous and nonhomogeneous cylinders and are represented graphically.
Infinite-Dimensional Measure Spaces And Frame Analysis,
2017
The University of Iowa
Infinite-Dimensional Measure Spaces And Frame Analysis, Palle Jorgensen, Myung-Sin Song
SIUE Faculty Research, Scholarship, and Creative Activity
We study certain infinite-dimensional probability measures in connection with frame analysis. Earlier work on frame-measures has so far focused on the case of finite-dimensional frames. We point out that there are good reasons for a sharp distinction between stochastic analysis involving frames in finite vs. infinite dimensions. For the case of infinite-dimensional Hilbert space ℋ, we study three cases of measures. We first show that, for ℋ infinite dimensional, one must resort to infinite dimensional measure spaces which properly contain ℋ. The three cases we consider are: (i) Gaussian frame measures, (ii) Markov path-space measures, and (iii) determinantal measures.
Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors,
2017
Louisiana State University and Agricultural and Mechanical College
Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, Emily Anne Mchenry
LSU Doctoral Dissertations
In certain layered electromagnetic media, one can construct a waveguide that supports a harmonic electromagnetic field at a frequency that is embedded in the continuous spectrum. When the structure is perturbed, this embedded eigenvalue moves into the complex plane and becomes a “complex resonance” frequency. The real and imaginary parts of this complex frequency have physical meaning. They lie behind anomalous scattering behaviors known collectively as “Fano resonance”, and people are interested in tuning them to specific values in optical devices. The mathematics involves spectral theory and analytic perturbation theory and is well understood [16], at least on a theoretical …
Apathy And Concern Over The Future Habitability Of Earth: An Introductory College Assignment Of Forecasting Co2 In The Earth’S Atmosphere,
2017
Utah State University
Apathy And Concern Over The Future Habitability Of Earth: An Introductory College Assignment Of Forecasting Co2 In The Earth’S Atmosphere, Benjamin J. Burger
Journal on Empowering Teaching Excellence
Non-science, first year regional undergraduate students from rural Utah communities participated in an online introductory geology course and were asked to forecast the rise of CO2 in the Earth’s atmosphere. The majority of students predicted catastrophic rise to 5,000-ppm sometime over the next 3,100 years, resulting in an atmosphere nearly uninhabitable to human life. However, the level of concern the students exhibited in their answers was not directly proportional with their timing in their forecasted rise of CO2. This study showcases the importance of presenting students with actual data and using data to develop student forecasted models. …
Perpetual Integral Functionals Of Brownian Motion And Blowup Of Semilinear Systems Of Spdes,
2017
Centro de Investigación en Matemáticas, Guanajuato
Perpetual Integral Functionals Of Brownian Motion And Blowup Of Semilinear Systems Of Spdes, Eugenio Guerrero, José Alfredo López-Mindela
Communications on Stochastic Analysis
No abstract provided.
The Moments Of Lévy's Area Using A Sticky Shuffle Hopf Algebra,
2017
Loughborough University
The Moments Of Lévy's Area Using A Sticky Shuffle Hopf Algebra, Robin Hudson, Uwe Schauz, Yue Wu
Communications on Stochastic Analysis
No abstract provided.
A Note On Time-Dependent Additive Functionals,
2017
ENSTA ParisTech
A Note On Time-Dependent Additive Functionals, Adrien Barrasso, Francesco Russo
Communications on Stochastic Analysis
No abstract provided.
Essential Sets For Random Operators Constructed From An Arratia Flow,
2017
Institute of Mathematics, National Academy of Sciences of Ukraine
Essential Sets For Random Operators Constructed From An Arratia Flow, Andrey A. Dorogovtsev, Ia. A. Korenovska
Communications on Stochastic Analysis
No abstract provided.
