Mathematics Commons^™

Universal Malliavin Calculus In Fock And Lévy-Itô Spaces, David Applebaum

Communications on Stochastic Analysis

No abstract provided.

Convergence To Weighted Fractional Brownian Sheets, Johanna Garzón

Communications on Stochastic Analysis

No abstract provided.

An Interacting Fock Space Characterization Of Probability Measures, Luigi Accardi, Hui-Hsiung Kuo, Aurel I Stan

Communications on Stochastic Analysis

No abstract provided.

A Class Of Anticipating Linear Stochastic Differential Equations, Julius Esunge

Communications on Stochastic Analysis

No abstract provided.

Sample Properties Of Random Fields. I. Separability And Measurability, Jürgen Potthoff

Communications on Stochastic Analysis

No abstract provided.

Creating Multi Objective Value Functions From Non-Independent Values, Christopher D. Richards

Theses and Dissertations

Decisions are made every day and by everyone. As these decisions become more important, involve higher costs and affect a broader group of stakeholders it becomes essential to establish a more rigorous strategy than simply intuition or "going with your gut". In the past several decades, the concept of Value Focused Thinking (VFT) has gained much acclaim in assisting Decision Makers (DMs) in this very effort. By identifying and organizing what a DM values VFT is able to decompose the original problem and create a mathematical model to score and rank alternatives to be chosen. But what if the decision …

Some Curious Cut-Ups, Jeremiah Farrell, Ivan Moscovich

Scholarship and Professional Work - LAS

We have noticed a certain kind of n-gon dissection into triangles that has a wonderful property of interest to most puzzlists. Namely that any two triangles have at least one edge in common yet no two triangles need be congruent. In an informal poll of specialists at a recent convention, none of them saw immediately how this could be accomplished. But in fact it is very straightforward.

Equational Coalgebraic Logic, Alexander Kurz, Raul Leal

Engineering Faculty Articles and Research

Coalgebra develops a general theory of transition systems, parametric in a functor T; the functor T specifies the possible one-step behaviours of the system. A fundamental question in this area is how to obtain, for an arbitrary functor T, a logic for T-coalgebras. We compare two existing proposals, Moss’s coalgebraic logic and the logic of all predicate liftings, by providing one-step translations between them, extending the results in [21] by making systematic use of Stone duality. Our main contribution then is a novel coalgebraic logic, which can be seen as an equational axiomatization of Moss’s logic. The three logics are …

The Effects Of Block Scheduling On Ap Calculus Ab Student Achievement, Larry A. Lightner

Mathematics Graduate Theses

Student achievement on the AP Calculus AB Exam is always a concern for teachers and school districts that offer the exam. A factor of concern that also arises is a school’s schedule. A school’s schedule may have an affect on achievement. This study examines the comparison in achievement of students who take the AP Calculus AB Exam under a block schedule and a traditional schedule system. Block Scheduling is defined as a class period of 80-90 minutes with 4 periods each day, allowing a full year’s curriculum to be offered in one semester. Traditional scheduling is defined as a class …

Common Cyclic Vectors For Unitary Operators, William T. Ross, Warren R. Wogen

Department of Math & Statistics Faculty Publications

In this paper, we determine whether or not certain natural classes of unitary multiplication operators on L²(dƟ) have common cyclic vectors. For some classes which have common cyclic vectors, we obtain a classification of these vectors.

Reservation For Other Backward Classes In Indian Central Government Institutions Like Iits, Iims And Aiims – A Study Of The Role Of Media Using Fuzzy Super Frm Models, Florentin Smarandache, W.B. Vasantha Kandasamy, K. Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

The new notions of super column FRM model, super row FRM model and mixed super FRM model are introduced in this book. These three models are introduced specially to analyze the biased role of the print media on 27 percent reservation for the Other Backward Classes (OBCs) in educational institutions run by the Indian Central Government. This book has four chapters. In chapter one the authors introduce the three types of super FRM models. Chapter two uses these three new super fuzzy models to study the role of media which feverishly argued against 27 percent reservation for OBCs in Central …

Transformée En Échelle De Signaux Stationnaires, Daniel Alpay, Mamadou Mboup

Mathematics, Physics, and Computer Science Faculty Articles and Research

Using the scale transform of a discrete time signal we define a new family of linear systems. We focus on a particular case related to function theory in the bidisk.

Groups As Graphs, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

Through this book, for the first time we represent every finite group in the form of a graph. The authors choose to call these graphs as identity graph, since the main role in obtaining the graph is played by the identity element of the group. This study is innovative because through this description one can immediately look at the graph and say the number of elements in the group G which are self-inversed. Also study of different properties like the subgroups of a group, normal subgroups of a group, p-sylow subgroups of a group and conjugate elements of a group …

The Geometry Of The Space Of Oriented Geodesics Of Hyperbolic 3-Space, Nikos Georgiou

Theses

In this thesis we construct a Kähler structure (J, Ω, G) on the space L(H³) of oriented geodesics of hyperbolic 3-space H³ and investigate its properties. We prove that (L(H³),J) is biholomorphic to (see thesis pdf), and that the Kähler metric G is of neutral signature, conformally flat and scalar flat.

We establish that the identity component of the isometry group of the metric G on L(H³) is isomorphic to the identity component of the hyperbolic isometry group. We show that the geodesics of G correspond to ruled minimal surfaces in H3, which …

Ambigrams: The Art And The Math, Callie Kronlage

Honors Program Theses

Because ambigrams are a relatively new concept, I found little mathematical research on them. Throughout this paper, I will address the role of ambigrams as a mathematical entity, an artistic outlet, and even an educational tool. Along with ways to use ambigrams, there are also descriptions of the nine different types of ambigrams, and a chart that can be used to create two of the most common types of ambigrams. Mathematically, ambigrams contain many symmetrical aspects, which are important to the study of Geometry. Within this, I have researched mathematical aspects of three of the ambigram types and found some …

An Introduction To Dsmt, Florentin Smarandache, Jean Dezert

Branch Mathematics and Statistics Faculty and Staff Publications

The management and combination of uncertain, imprecise, fuzzy and even paradoxical or highly conflicting sources of information has always been, and still remains today, of primal importance for the development of reliable modern information systems involving artificial reasoning. In this introduction, we present a survey of our recent theory of plausible and paradoxical reasoning, known as Dezert-Smarandache Theory (DSmT), developed for dealing with imprecise, uncertain and conflicting sources of information. We focus our presentation on the foundations of DSmT and on its most important rules of combination, rather than on browsing specific applications of DSmT available in literature. Several simple …

Superbimatrices And Their Generalizations, Florentin Smarandache, W.B Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

The systematic study of supermatrices and super linear algebra has been carried out in 2008. These new algebraic structures find their applications in fuzzy models, Leontief economic models and data-storage in computers. In this book the authors introduce the new notion of superbimatrices and generalize it to super trimatrices and super n-matrices. Study of these structures is not only interesting and innovative but is also best suited for the computerized world. The main difference between simple bimatrices and super bimatrices is that in case of simple bimatrices we have only one type of product defined on them, whereas in case …

Generalized Q-Functions And Dirichlet-To-Neumann Maps For Elliptic Differential Operators, Daniel Alpay, Jussi Behrndt

Mathematics, Physics, and Computer Science Faculty Articles and Research

The classical concept of Q-functions associated to symmetric and selfadjoint operators due to M.G. Krein and H. Langer is extended in such a way that the Dirichlet-to-Neumann map in the theory of elliptic differential equations can be interpreted as a generalized Q-function. For couplings of uniformly elliptic second order differential expression on bounded and unbounded domains explicit Krein type formulas for the difference of the resolvents and trace formulas in an H2-framework are obtained.

The Schur Transformation For Nevanlinna Functions: Operator Representations, Resolvent Matrices, And Orthogonal Polynomials, Daniel Alpay, A. Dijksma, H. Langer

Mathematics, Physics, and Computer Science Faculty Articles and Research

A Nevanlinna function is a function which is analytic in the open upper half plane and has a non-negative imaginary part there. In this paper we study a fractional linear transformation for a Nevanlinna function n with a suitable asymptotic expansion at ∞, that is an analogue of the Schur transformation for contractive analytic functions in the unit disc. Applying the transformation p times we find a Nevanlinna function np which is a fractional linear transformation of the given function n. The main results concern the effect of this transformation to the realizations of n and np, by which we …

Krein Systems, Daniel Alpay, I. Gohberg, M. A. Kaashoek, L. Lerer, A. Sakhnovich

Mathematics, Physics, and Computer Science Faculty Articles and Research

In the present paper we extend results of M.G. Krein associated to the spectral problem for Krein systems to systems with matrix valued accelerants with a possible jump discontinuity at the origin. Explicit formulas for the accelerant are given in terms of the matrizant of the system in question. Recent developments in the theory of continuous analogs of the resultant operator play an essential role.

Preface

Communications on Stochastic Analysis

No abstract provided.

Applicability Of Multiplicative Renormalization Method For A Certain Function, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli

Communications on Stochastic Analysis

No abstract provided.

General Equilibrium Asset Pricing Under Regime Switching, Robert J Elliott, Hong Miao, Jin Yu

Communications on Stochastic Analysis

No abstract provided.

A Class Of Extreme X-Harmonic Functions, John Verzani

Communications on Stochastic Analysis

No abstract provided.

Interacting Fock Space Versus Full Fock Module, Luigi Accardi, Michael Skeide

Communications on Stochastic Analysis

No abstract provided.

Distribution And Propagation Properties Of Superprocesses With General Branching Mechanisms, Zenghu Li, Xiaowen Zhou

Communications on Stochastic Analysis

No abstract provided.

Locally Integrable Processes With Respect To Locally Additive Summable Processes, Oana Mocioalca

Communications on Stochastic Analysis

No abstract provided.

A Decomposition Of Multiple Wiener Integrals By The Lévy Process And Lévy Laplacian, Atsushi Ishikawa

Communications on Stochastic Analysis

No abstract provided.

Limits Of Bifractional Brownian Noises, Makoto Maejima, Ciprian A Tudor

Communications on Stochastic Analysis

No abstract provided.

Errata: Existence And Uniqueness Of Solutions To The Backward Stochastic Lorenz System (Cosa, Vol. 1, No. 3 (2007) 473–483) [Mr2403863], P Sundar, Hong Yin

Communications on Stochastic Analysis

No abstract provided.