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Articles 211 - 240 of 278
Full-Text Articles in Mathematics
Common Cyclic Vectors For Normal Operators, William T. Ross, Warren R. Wogen
Common Cyclic Vectors For Normal Operators, William T. Ross, Warren R. Wogen
Department of Math & Statistics Faculty Publications
If μis a finite compactly supported measure on C, then the set Sμ of multiplication operators Mᵩ : L2 (μ) --> L2 (μ), Mᵩ f = ᵩ f, where ᵩ ϵ L ∞ (μ) is injective on a set of full μ measure, is the complete set of cyclic multiplication operators on L2 (μ) In this paper, we explore the question as to whether or not Sμ has a common cyclic vector
Mathematical Card Tricks, Sarah Zimmermann
Mathematical Card Tricks, Sarah Zimmermann
Honors Capstones
Capstone submitted as a graduation requirement for the BSU Honors Program.
Deformation Theory Of Dialgebras., Anita Majumdar Dr.
Deformation Theory Of Dialgebras., Anita Majumdar Dr.
Doctoral Theses
The main objective of this thesis is to develop an algebraic deformation theury for associative dialgebras, which are binary quadratic algebras discovered by J.-L. Loday in (16). (17), and subisequently, to derive a G-algebra siructure ou the dialgebra colhomology with cocfticients in itself.Deformation theory dates back at Ieast to Riemann's 1837 memoir on alelian fianetions in which he studied IHanifolds of complex dimension one and calculated the mumber of parameters (called moduli) upon which a deformation depends. The modern theory of deformations of structures on manifolds was developed extensively ly Frolicher-Kodaira-Nijenhnis-Nirenberg-Spencer (13], [14], [15). [25|, [26).The study of deformations of …
Spectral Triples And Metric Aspects Of Geometry On Some Noncommutative Spaces., Partha Sarathi Chakraborty Dr.
Spectral Triples And Metric Aspects Of Geometry On Some Noncommutative Spaces., Partha Sarathi Chakraborty Dr.
Doctoral Theses
Quantization of mathematical theories is now more than half a century old idea in mathe- matics. It goes back to Gelfand-Naimarks seminal paper [37] in 1943. As the name suggests noncommutative geometry is the quantization" of differential geometry. It is the study of noncommutative algebras as if they were algebras of functions on spaces like the commuta- tive algebras associated to affine algebraic varieties, smooth manifolds, topological spaces. One can trace its roots in the Gelfand-Naimark theorems (1943, 37]). In modern terminol- ogy their theorem says there is an antiequivalence between the category of (locally) compact Hausdorff spaces and (proper, …
Journaling In The Secondary Mathematics Classroom: An Introduction, Defense, And Resource, Emily K. Falgier
Journaling In The Secondary Mathematics Classroom: An Introduction, Defense, And Resource, Emily K. Falgier
Honors Capstones
Capstone submitted as a graduation requirement for the BSU Honors Program.
Topological Conjugacy And Rigidity Of Affine Actions., Siddhartha Bhattacharya Dr.
Topological Conjugacy And Rigidity Of Affine Actions., Siddhartha Bhattacharya Dr.
Doctoral Theses
The main theme of this thesis is topological classiication of aline Hows on homogeneous spaces and rigidity of equivariant continuous maps between such dows. Both these aspects have been extensively studied in the literature for subgroup actions (cf. [Be), [B-Dj and [Wi) and for automorphism flows of the cyclic group (cf. [Ar]. [K-R] and [C-S). We will consider similar questions in more general situations. A detailed outline is given below. For a topological group T, by a r-flow we mean pair (X,p), where X is a opological space and p is a continuous action of I on X. For any …
Quantum Stochastic Dilation Of Completely Positive Semigroups And Flows., Debashish Goswami Dr.
Quantum Stochastic Dilation Of Completely Positive Semigroups And Flows., Debashish Goswami Dr.
Doctoral Theses
The central theme of the present thesia is quantum stochastic dilation af semigroupe of completely panitive mapa on operator algebran. It is the sim of all mathemati- cal, or even all scientific theorics, to understand a given class of objects through a tanonical and simpler subclass of it. For example, abstract C"-algebras are studied through their conerete realisation as elgebra of operators, contractions on a Hilbert space by unitaries. Hilbert modules by the factorissble ones, to mention anly a few. In most af these caes, a general object of the relavant class is sociated with a canonical candidate of the …
Uncertainity Principles On Some Lie Groups., Swagato Kumar Ray Dr.
Uncertainity Principles On Some Lie Groups., Swagato Kumar Ray Dr.
Doctoral Theses
The uncertainty principles of Harmonic Analysis say that: a nonzero func- tion and its Fourier transform cannot both be sharply concen- trated. After the initial work on this phenomenon in 1920s, the last two decades witnessed a spurt of activity in this direction (we refer the reader to a very readable survey [FS]). One may notice two broad phases in this activity, the first concentrating on R where the notion of concentration is given different formulations to see whether the phenomenon still holds. In the later phase R is replaced by other commutative or noncommutative groups, or more generally by …
Perturbed Laplacian Matrix And The Structure Of A Graph., Sukanta Pati Dr.
Perturbed Laplacian Matrix And The Structure Of A Graph., Sukanta Pati Dr.
Doctoral Theses
Laplacian matrices Let G be a connected simple graph with vertex set V = {1,2,.,n), edge set E and let each edge be associated with a positive number, the weight of the edge. The above graph is called a weighted graph. An unweighted graph is just a weighted graph with each of the edges bearing weight 1. All the graphs considered are weighted and simple, unless specified otherwise; all the matrices considered are real. The adjacency matrix A(G) related to this graph is defined as A(G) = (aij), whereaij, if (i, j] € E and the weight of the edge …
Solutions To The Chinese Postman Problem, Kenneth Peter Cramm
Solutions To The Chinese Postman Problem, Kenneth Peter Cramm
Theses Digitization Project
Considering the Chinese Postman Problem, in which a mailman must deliver mail to houses in a neighborhood. The mailman must cover each side of the street that has houses, at least once. The focus of this paper is our attempt to discover the optimal path, or the least number of times each street is walked. The integration of algorithms from graph theory and operations research form the method used to explain solutions to the Chinese Postman Problem.
Algebra În Exercijii Şi Probleme Pentru Liceu, Florentin Smarandache, Ion Goian, Raisa Grigor, Vasila Marin
Algebra În Exercijii Şi Probleme Pentru Liceu, Florentin Smarandache, Ion Goian, Raisa Grigor, Vasila Marin
Branch Mathematics and Statistics Faculty and Staff Publications
No abstract provided.
Knot Theory And Wild Knots, Cherie Annette Reardon
Knot Theory And Wild Knots, Cherie Annette Reardon
Theses Digitization Project
No abstract provided.
Static Interconnection Networks And Parallel Algorithms For Efficient Problem Solving., T. Krishnan Dr.
Static Interconnection Networks And Parallel Algorithms For Efficient Problem Solving., T. Krishnan Dr.
Doctoral Theses
There is nothing more difficult to take in hand, more perilous to conduct, or more uncertain in its success, than to take the lead in the introduction of a new order of things.
Wiener Tauberian Theorems On Semisimple Lie Group., Rudra Pada Sarkar Dr.
Wiener Tauberian Theorems On Semisimple Lie Group., Rudra Pada Sarkar Dr.
Doctoral Theses
In their celebrated study of Harmonic analysis on semi-simple Lie groups Ehrenpreis and Mautner [E-M] noticed that the analogue of the claasical Wiener Tauberian theorem resting on the unitary dual does not hold for semisimple Lle groups. A simple proof of this fact due to M. Duflo appears in (H). Ehrenpreis and Mautner went on in (E-M] to formulate the problem on the commutative Banach algebra of the SO2(R)-biinvariant functions in L1(SL2(R))1, and obtained two different versions of the theorem involving, this time, the dual of the Banach algebra which includes, beside the unitary dual of G, a part of …
Splitting In Locally Compact Abelian Groups, Peter Loth
Splitting In Locally Compact Abelian Groups, Peter Loth
Mathematics Faculty Publications
No abstract provided.
Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green
Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green
Theses Digitization Project
No abstract provided.
Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen
Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen
Theses Digitization Project
No abstract provided.
The Duals Of Warfield Groups, Peter Loth
The Duals Of Warfield Groups, Peter Loth
Mathematics Faculty Publications
A Warfield group is a direct summand of a simply presented abelian group. In this paper, we describe the Pontrjagin dual groups of Warfield groups, both for the p-local and the general case. A variety of characterizations of these dual groups is obtained. In addition, numerical invariants are given that distinguish between two such groups which are not topologically isomorphic.
Some Problems Of Continuum Percolation., Anish Sarkar Dr.
Some Problems Of Continuum Percolation., Anish Sarkar Dr.
Doctoral Theses
The model of continuum percolation can be described as follows. We start with a homogeneous Poisson point process X. At each point of X we centre a ball with a random radius such that the radii corresponding to different points are independent of each other and also independent of the Poisson process X. In this way, the space is divided into two regiorns, the covered region or the occupied region consisting of the region which is covered by at least one ball, and the uncovered region or the vacant region which is complement of the covered region. In this dissertation …
Some Problems In Joint Spectral Theory., Tirthankar Bhattacharya Dr.
Some Problems In Joint Spectral Theory., Tirthankar Bhattacharya Dr.
Doctoral Theses
No abstract provided.
Semisimplicity For Hopf Algebras, Michelle Diane Stutsman
Semisimplicity For Hopf Algebras, Michelle Diane Stutsman
Theses Digitization Project
No abstract provided.
Polynomial Equations And Solvability: A Historical Perspective, Laurie Jan Riggs
Polynomial Equations And Solvability: A Historical Perspective, Laurie Jan Riggs
Theses Digitization Project
No abstract provided.
Computer Squares And Principal Graphs Of Subfactors., Uma Krishnan Dr.
Computer Squares And Principal Graphs Of Subfactors., Uma Krishnan Dr.
Doctoral Theses
This thosin in devoted to the study of aome probloms related to the inclusion of a pair of (usually hyperfinite) Ili factors R. Specifically, the following and the relation between them are studied:(a) pairs of graphs which can occur as principal grapha for NC M;(b) construction of commuting squares starting with a pair of finite graphs;(c) computation of the higher relative commutants of sublactorn con- structed from specific commuting squares.The first chapter is introductory in nature and is included for the sake of comploteness and convenience of reference. It contains a rather perfunctory description of the basic construction for a …
An Algebraic Approach To Derivatives, Julia Lee Roman
An Algebraic Approach To Derivatives, Julia Lee Roman
Theses & Dissertations
The purpose of this thesis is to relate a unique method of dealing with the concept of the derivative of a function. The traditional approach to teaching calculus introduces the idea of the limit of a function early in the course as evidenced in the Essential Elements of the State Board of Education of Texas which places the limit concept as the second essential element of calculus in Texas high schools (Texas Education Agency (TEA) Essential Elements 1991). The "concepts and skills associated with the derivative" (TEA Essential Elements 1991) follow immediately after the introduction of the limit of a …
Markov Dilation Of Nonconservative Quantum Dynamical Semigroups And Quantum Boundary Theory., B. V. Rajarama Bhat Dr.
Markov Dilation Of Nonconservative Quantum Dynamical Semigroups And Quantum Boundary Theory., B. V. Rajarama Bhat Dr.
Doctoral Theses
In classical probability theory, based on Kolmogorov consistency theorem, one can associate a Markov process to any one parameter semigroup of stochastic matrices or transition probability operators. It is indeed the foundation for the theory of Markov processes. Here a quantum version of this theorem has been established. This effectively answers some of the questions raised by P. A. Meyer in his book (see page 220 of (Me).It is widely agreed upon that irreversible dynamics in the quantum setting is de- scribed by contractive semigroups of completely positive maps on C" algebras ([Kr). (AL]). In other words these semigroups, known …
Hypergroup Graphs And Subfactors., A. K. Vijayarajan Dr.
Hypergroup Graphs And Subfactors., A. K. Vijayarajan Dr.
Doctoral Theses
The main theme of this t hesis is hypergroups. In this thesis the the- ory of hypergroups is applied to study the relation between certain graphs and subfactors of II, factors in the context of principal graphs associated with the inclusions of II, factors. More general classes of hypergroups are iutroduced, new examples of hypergroups associated to certain graphs are coustructed and classification of small order hypergroups is discussed.The text of the thesis is arranged in four chapters. The first chapter is on preliminaries of the theory of hypergroups, the second on the appli- cation of the theory of hyjrrgroups …
Study Of Moduli Of Bundles., Indranil Biswas Dr.
Study Of Moduli Of Bundles., Indranil Biswas Dr.
Doctoral Theses
Hitchin (Hi2) realized the importance of studying pairs (E,∅) where E is a vector bundle and ∅ is a homomorphism of E into EOL for a fixed line bundle L. When C is a smooth pro jective algebraic curve this has since been studied quite extensively. One can construct a covering of C in this situation and the given data can be completely recovered by this covering map and a line bundle on the covering curve (see Beauville, Narasimhan and Ramanan (BNR]). When L is the canonical bundle this procedure gives a completely integrable system on the cotangent bundle of …
On Markov Processes Charecterised Via Martingale Problem., Abhay G. Bhatt Dr.
On Markov Processes Charecterised Via Martingale Problem., Abhay G. Bhatt Dr.
Doctoral Theses
Martingale approach to the study of finite dimensional diffusions was initiated by Stroock-Varadhan, who coined the term martingale problem. Their success led to a similar approach being used to study Markov processes occuring in other areas such as infinite particle systems, branching processes, genetic models, density dependent population processes, random evolutions etc.Suppose X is a Markov process corresponding to a semigroup (T)e20 with generator L. Then all the information about X is contained in L. We also have thatMf(t) := f(X(t)) – ∫t0 Lf(X(s))dsis a martingale for every f ∈ D(L). i.e. X is a solution to the martingale problem …
The Walker Endomorphism Algebra Of A Mixed Module, Brendan Goldsmith, P. Zanardo
The Walker Endomorphism Algebra Of A Mixed Module, Brendan Goldsmith, P. Zanardo
Articles
Archimedian valuation domains R are characterised in terms of the endomorphism algebras of non-splitting mixed modules of rank 1, in the Walker category.
On Separable Torsion- Free Modules Of Countable Density Character, R. Gobel, Brendan Goldsmith
On Separable Torsion- Free Modules Of Countable Density Character, R. Gobel, Brendan Goldsmith
Articles
The endomorphism algebras of modules of large cardinalities have been extensively studied in recent years using the combinatorial set-theoretic techniques of Shelah-the so-called black-box methods (see, e.g., [4, 5, 151). Despite the spectacular success of these methods, they are not suitable for realization theorems at small carinalities. Of course at the level of countability (or rather more generally for cardinals ~2’~) there are in some cases the original dramatic results of A. L. S. Corner [ 1, 2, 31 and the more recent generalizations of Gobel and May [ 111. Very recently the study of realization problems at cardinalities