Branching Particle Systems And Compound Poisson Processes Related To Pólya-Aeppli Distributions,
2015
Louisiana State University
Branching Particle Systems And Compound Poisson Processes Related To Pólya-Aeppli Distributions, Richard B Paris, Vladimir Vinogradov
Communications on Stochastic Analysis
No abstract provided.
Hitting Times For Bessel Processes,
2015
Louisiana State University
Hitting Times For Bessel Processes, Gerardo Hernández-Del-Valle, Carlos G Pacheco
Communications on Stochastic Analysis
No abstract provided.
Comparing The G-Normal Distribution To Its Classical Counterpart,
2015
Louisiana State University
Comparing The G-Normal Distribution To Its Classical Counterpart, Erhan Bayraktar, Alexander Munk
Communications on Stochastic Analysis
No abstract provided.
Convergence Of Scheme For Decoupled Forward Backward Stochastic Differential Equation,
2015
Louisiana State University
Convergence Of Scheme For Decoupled Forward Backward Stochastic Differential Equation, Hani Abidi, Habib Ouerdiane
Communications on Stochastic Analysis
No abstract provided.
Transition To Higher Mathematics: Structure And Proof (Second Edition),
2015
University of Washington - Seattle Campus
Transition To Higher Mathematics: Structure And Proof (Second Edition), Bob A. Dumas, John E. Mccarthy
Books and Monographs
This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter …
A Unified And Preserved Dirichlet Boundary Treatment For The Cell-Centered Finite Volume Discrete Boltzmann Method,
2015
University of Pittsburgh
A Unified And Preserved Dirichlet Boundary Treatment For The Cell-Centered Finite Volume Discrete Boltzmann Method, Leitao Chen, Laura A. Schaefer
Publications
A new boundary treatment is proposed for the finite volume discrete Boltzmann method (FVDBM) that can be used for accurate simulations of curved boundaries and complicated flow conditions. First, a brief review of different boundary treatments for the general Boltzmann simulations is made in order to primarily explain what type of boundary treatment will be developed in this paper for the cell-centered FVDBM. After that, the new boundary treatment along with the cell-centered FVDBM model is developed in detail. Next, the proposed boundary treatment is applied to a series of numerical tests with a detailed discussion of its qualitative and …
K-Theory And Pseudospectra For Topological Insulators [Dataset],
2015
University of New Mexico
K-Theory And Pseudospectra For Topological Insulators [Dataset], Terry A. Loring
Math and Statistics Datasets
We derive formulas and algorithms for Kitaev's invariants in the periodic table for topological insulators and superconductors for finite disordered systems on lattices with boundaries. We find that K-theory arises as an obstruction to perturbing approximately compatible observables into compatible observables. We derive formulas in all symmetry classes up to dimension two, and in one symmetry class in dimension three, that can be computed with sparse matrix algorithms. We present algorithms in two symmetry classes in 2D and one in 3D and provide illustrative studies regarding how these algorithms can detect the scaling properties of phase transitions.
My Finite Field,
2015
Idaho State University
My Finite Field, Matthew Schroeder
Journal of Humanistic Mathematics
A love poem written in the language of mathematics.
Prisoner's Dilemma,
2015
Hofstra University
Prisoner's Dilemma, Raymond N. Greenwell
Journal of Humanistic Mathematics
No abstract provided.
The Symbolic And Mathematical Influence Of Diophantus's Arithmetica,
2015
University of Kentucky
The Symbolic And Mathematical Influence Of Diophantus's Arithmetica, Cyrus Hettle
Journal of Humanistic Mathematics
Though it was written in Greek in a center of ancient Greek learning, Diophantus's Arithmetica is a curious synthesis of Greek, Egyptian, and Mesopotamian mathematics. It was not only one of the first purely number-theoretic and algebraic texts, but the first to use the blend of rhetorical and symbolic exposition known as syncopated mathematics. The text was influential in the development of Arabic algebra and European number theory and notation, and its development of the theory of indeterminate, or Diophantine, equations inspired modern work in both abstract algebra and computer science. We present, in this article, a selection of problems …
Love Games: A Game-Theory Approach To Compatibility,
2015
Georg-August Universität Göttingen
Love Games: A Game-Theory Approach To Compatibility, Kerstin Bever, Julie Rowlett
Journal of Humanistic Mathematics
In this note, we present a compatibility test with a rigorous mathematical foundation in game theory. The test must be taken separately by both partners, making it difficult for either partner alone to control the outcome. To introduce basic notions of game theory we investigate a scene from the film "A Beautiful Mind" based on John Nash's life and Nobel-prize-winning theorem. We recall this result and reveal the mathematics behind our test. Readers may customize and modify the test for more accurate results or to evaluate interpersonal relationships in other settings, not only romantic. Finally, we apply Dyson's and Press's …
On The Persistence And Attrition Of Women In Mathematics,
2015
Central Michigan University
On The Persistence And Attrition Of Women In Mathematics, Katrina Piatek-Jimenez
Journal of Humanistic Mathematics
The purpose of this study was to investigate what motivates women to choose mathematics as an undergraduate major and to further explore what shapes their future career goals, paying particular attention to their undergraduate experiences and their perceptions of the role of gender in these decisions. A series of semi-structured, individual interviews were conducted with twelve undergraduate women mathematics majors who were attending either a large public university or a small liberal arts college. This study found that strong mathematical identities and enjoyment of mathematics heavily influenced their decisions to major in mathematics. At the career selection stage, these women …
Scrambled Squares,
2015
Butler University
Scrambled Squares, Jeremiah Farrell, Karen Farrell
Scholarship and Professional Work - LAS
Jeremiah's puzzle "Scrambled Squares", which was exchanged at the 2015 Ottawa International Puzzle Party. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is also manufactured by Kate Jones as "Scrambled Squares".
Clique Topology Reveals Intrinsic Geometric Structure In
Neural Correlations,
2015
University of Pennsylvania
Clique Topology Reveals Intrinsic Geometric Structure In Neural Correlations, Chad Giusti, Eva Pastalkova, Carina Curto, Vladimir Itskov
Department of Mathematics: Faculty Publications
Detecting meaningful structure in neural activity and connectivity data is challenging in the presence of hidden nonlinearities, where traditional eigenvalue-based methods may be misleading. We introduce a novel approach to matrix analysis, called clique topology, that extracts features of the data invariant under nonlinear monotone transformations. These features can be used to detect both random and geometric structure, and depend only on the relative ordering of matrix entries. We then analyzed the activity of pyramidal neurons in rat hippocampus, recorded while the animal was exploring a 2D environment, and confirmed that our method is able to detect geometric organization using …
Weak Parallelogram Laws On Banach Spaces And Applications To Prediction,
2015
University of Richmond
Weak Parallelogram Laws On Banach Spaces And Applications To Prediction, R. Cheng, William T. Ross
Department of Math & Statistics Faculty Publications
This paper concerns a family of weak parallelogram laws for Banach spaces. It is shown that the familiar Lebesgue spaces satisfy a range of these inequalities. Connections are made to basic geometric ideas, such as smoothness, convexity, and Pythagorean-type theorems. The results are applied to the linear prediction of random processes spanning a Banach space. In particular, the weak parallelogram laws furnish coefficient growth estimates, Baxter-type inequalities, and criteria for regularity.
A Survey On Reverse Carleson Measures,
2015
University of Richmond
A Survey On Reverse Carleson Measures, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Department of Math & Statistics Faculty Publications
This is a survey on reverse Carleson measures for various Hilbert spaces of analytic functions. These spaces include the Hardy, Bergman, certain harmonically weighted Dirichlet, Paley-Wiener, Fock, model (backward shift invariant), and de Branges-Rovnyak spaces. The reverse Carleson measure for backward shift invariant subspaces in the non-Hilbert situation is new.
Boundary Interpolation For Slice Hyperholomorphic Schur Functions,
2015
Ben Gurion University of the Negev
Boundary Interpolation For Slice Hyperholomorphic Schur Functions, Khaled Abu-Ghanem, Daniel Alpay, Fabrizio Colombo, David P. Kimsey, Irene Sabadini
Mathematics, Physics, and Computer Science Faculty Articles and Research
A boundary Nevanlinna-Pick interpolation problem is posed and solved in the quaternionic setting. Given nonnegative real numbers κ1,…,κN, quaternions p1,…,pN all of modulus 1, so that the 2-spheres determined by each point do not intersect and pu≠1 for u=1,…,N, and quaternions s1,…,sN, we wish to find a slice hyperholomorphic Schur function s so that
limr→1r∈(0,1)s(rpu)=suforu=1,…,N,
and
limr→1r∈(0,1)1−s(rpu)su¯¯¯¯¯1−r≤κu,foru=1,…,N.
Our arguments relies on the theory of slice hyperholomorphic functions and reproducing kernel Hilbert spaces.
Realizations Of Infinite Products, Ruelle Operators And Wavelet Filters,
2015
Chapman University
Realizations Of Infinite Products, Ruelle Operators And Wavelet Filters, Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz
Mathematics, Physics, and Computer Science Faculty Articles and Research
Using the system theory notion of state-space realization of matrix-valued rational functions, we describe the Ruelle operator associated with wavelet filters. The resulting realization of infinite products of rational functions have the following four features: 1) It is defined in an infinite-dimensional complex domain. 2) Starting with a realization of a single rational matrix-function M, we show that a resulting infinite product realization obtained from M takes the form of an (infinitedimensional) Toeplitz operator with the symbol that is a reflection of the initial realization for M. 3) Starting with a subclass of rational matrix functions, including scalar-valued ones corresponding …
Spectral Theory For Gaussian Processes: Reproducing Kernels, Random Functions, Boundaries, And L2-Wavelet Generators With Fractional Scales,
2015
Chapman University
Spectral Theory For Gaussian Processes: Reproducing Kernels, Random Functions, Boundaries, And L2-Wavelet Generators With Fractional Scales, Daniel Alpay
Mathematics, Physics, and Computer Science Faculty Articles and Research
A recurrent theme in functional analysis is the interplay between the theory of positive definite functions, and their reproducing kernels, on the one hand, and Gaussian stochastic processes, on the other. This central theme is motivated by a host of applications, e.g., in mathematical physics, and in stochastic differential equations, and their use in financial models. In this paper, we show that, for three classes of cases in the correspondence, it is possible to obtain explicit formulas which are amenable to computations of the respective Gaussian stochastic processes. For achieving this, we first develop two functional analytic tools. They are: …
The Logical System Of Frege’S Grundgesetze : A Rational Reconstruction,
2015
University of Paris
The Logical System Of Frege’S Grundgesetze : A Rational Reconstruction, Méven Cadet, Marco Panza
MPP Published Research
This paper aims at clarifying the nature of Frege's system of logic, as presented in the first volume of the Grundgesetze . We undertake a rational reconstruction of this system, by distinguishing its propositional and predicate fragments. This allows us to emphasise the differences and similarities between this system and a modern system of classical second-order logic.
