Topological And Hq Equivalence Of Prime Cyclic P-Gonal Actions On Riemann Surfaces (Corrected),
2016
Rose-Hulman Institute of Technology
Topological And Hq Equivalence Of Prime Cyclic P-Gonal Actions On Riemann Surfaces (Corrected), Sean A. Broughton
Mathematical Sciences Technical Reports (MSTR)
Two Riemann surfaces S1 and S2 with conformal G-actions have topologically equivalent actions if there is a homeomorphism h : S1 -> S2 which intertwines the actions. A weaker equivalence may be defined by comparing the representations of G on the spaces of holomorphic q-differentials Hq(S1) and Hq(S2). In this note we study the differences between topological equivalence and Hq equivalence of prime cyclic actions, where S1/G and S2/G have genus zero.
A Three-Fold Approach To The Heat Equation: Data, Modeling, Numerics,
2016
Gettysburg College
A Three-Fold Approach To The Heat Equation: Data, Modeling, Numerics, Kimberly R. Spayd, James G. Puckett
Math Faculty Publications
This article describes our modeling approach to teaching the one-dimensional heat (diffusion) equation in a one-semester undergraduate partial differential equations course. We constructed the apparatus for a demonstration of heat diffusion through a long, thin metal rod with prescribed temperatures at each end. The students observed the physical phenomenon, collected temperature data along the rod, then referenced the demonstration for purposes in and out of the classroom. Here, we discuss the experimental setup, how the demonstration informed practices in the classroom and a project based on the collected data, including analytical and computational components.
Uniform Approximation On Riemann Surfaces,
2016
The University of Western Ontario
Uniform Approximation On Riemann Surfaces, Fatemeh Sharifi
Electronic Thesis and Dissertation Repository
This thesis consists of three contributions to the theory of complex approximation on
Riemann surfaces. It is known that if E is a closed subset of an open Riemann surface R and f is a holomorphic function on a neighbourhood of E, then it is usually not possible to approximate f uniformly by functions holomorphic on all of R. Firstly, we show, however, that for every open Riemann surface R and every closed subset E of R; there is closed subset F of E, which approximates E extremely well, such that every function holomorphic on F can be approximated much …
Why Be So Critical? Nineteenth Century Mathematics And The Origins Of Analysis,
2016
Colorado State University-Pueblo
Why Be So Critical? Nineteenth Century Mathematics And The Origins Of Analysis, Janet Heine Barnett
Analysis
No abstract provided.
Henri Lebesgue And The Development Of The Integral Concept,
2016
Colorado State University-Pueblo
Henri Lebesgue And The Development Of The Integral Concept, Janet Heine Barnett
Analysis
No abstract provided.
Development Of Utility Theory And Utility Paradoxes,
2016
Lawrence University
Development Of Utility Theory And Utility Paradoxes, Timothy E. Dahlstrom
Lawrence University Honors Projects
Since the pioneering work of von Neumann and Morgenstern in 1944 there have been many developments in Expected Utility theory. In order to explain decision making behavior economists have created increasingly broad and complex models of utility theory. This paper seeks to describe various utility models, how they model choices among ambiguous and lottery type situations, and how they respond to the Ellsberg and Allais paradoxes. This paper also attempts to communicate the historical development of utility models and provide a fresh perspective on the development of utility models.
Representation And Gaussian Bounds For The Density Of Brownian Motion With Random Drift,
2016
Louisiana State University
Representation And Gaussian Bounds For The Density Of Brownian Motion With Random Drift, Azmi Makhlouf
Communications on Stochastic Analysis
No abstract provided.
The Product Of Distributions And White Noise Distribution-Valued Stochastic Differential Equations,
2016
Louisiana State University
The Product Of Distributions And White Noise Distribution-Valued Stochastic Differential Equations, Hui-Hsiung Kuo, Kimiaki Saitô, Yusuke Shibata
Communications on Stochastic Analysis
No abstract provided.
Optimal Density Bounds For Marginals Of Itô Processes,
2016
Louisiana State University
Optimal Density Bounds For Marginals Of Itô Processes, David Baños, Paul Krühner
Communications on Stochastic Analysis
No abstract provided.
The Continuity Of The Solution Of The Natural Equation In The One-Dimensional Case,
2016
Louisiana State University
The Continuity Of The Solution Of The Natural Equation In The One-Dimensional Case, Fatima Benziadi, Abdeldjabbar Kandouci
Communications on Stochastic Analysis
No abstract provided.
Continuity Of Random Fields On Riemannian Manifolds,
2016
Louisiana State University
Continuity Of Random Fields On Riemannian Manifolds, Annika Lang, Jürgen Potthoff, Martin Schlather, Dimitri Schwab
Communications on Stochastic Analysis
No abstract provided.
Clark Formula For Local Time For One Class Of Gaussian Processes,
2016
Louisiana State University
Clark Formula For Local Time For One Class Of Gaussian Processes, A A Dorogovtsev, O L Izyumtseva, G V Riabov, Naoufel Salhi
Communications on Stochastic Analysis
No abstract provided.
Estimation Of Change Point Via Kalman-Bucy Filter For Linear Systems Driven By Fractional Brownian Motions,
2016
Louisiana State University
Estimation Of Change Point Via Kalman-Bucy Filter For Linear Systems Driven By Fractional Brownian Motions, M N Mishra, B L S Prakasa Rao
Communications on Stochastic Analysis
No abstract provided.
On Extension Of Mittag-Leffler Function,
2016
The IIS University
On Extension Of Mittag-Leffler Function, Ekta Mittal, Rupakshi M. Pandey, Sunil Joshi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we study the extended Mittag -Leffler function by using generalized beta function and obtain various differential properties, integral representations. Further, we discuss Mellin transform of these functions in terms of generalized Wright hyper geometric function and evaluate Laplace transform, and Whittaker transform in terms of extended beta function. Finally, several interesting special cases of extended Mittag -Leffler functions have also be given.
A New Approach For Solving System Of Local Fractional Partial Differential Equations,
2016
University of Mazandaran
A New Approach For Solving System Of Local Fractional Partial Differential Equations, Hossein Jafari, Hassan K. Jassim
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we apply a new method for solving system of partial differential equations within local fractional derivative operators. The approximate analytical solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm. The obtained results show that the introduced approach is a promising tool for solving system of linear and nonlinear local fractional differential equations. Furthermore, we show that local fractional Laplace variational iteration method is able …
Applications Of Composite Convolution Operators,
2016
Government College for Women, India
Applications Of Composite Convolution Operators, Anupama Gupta
Applications and Applied Mathematics: An International Journal (AAM)
The Composite Convolution Operator is an operator which is obtained by composing Convolution operator with Composition operator. Volterra composite convolution operator is a composition of Volterra convolution operator and Composition operator. The Composite Convolution Operators and Composite Convolution Volterra operators have been defined by using the Expectation operator and Radon-Nikodym derivative. In this paper an attempt has been made to investigate applications of Composite Convolution Operators (CCO) in Integral Convolution Type Equations (ICTE). The study may explore a new technique to solve Fredholm Convolution type integral equations and Volterra Convolution type integral equations. Some methods for solving integral convolution type …
A New Angle On An Old Construction: Approximating Inscribed N-Gons,
2016
Kenyon College
A New Angle On An Old Construction: Approximating Inscribed N-Gons, Robert Milnikel
Robert Milnikel
No abstract provided.
A Remark On The Multipliers On Spaces Of Weak Products Of Functions,
2016
Washington University in St. Louis
A Remark On The Multipliers On Spaces Of Weak Products Of Functions, Stefan Richter, Brett D. Wick
Mathematics Faculty Publications
Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian. We determine the normal composition operators with inner, respectively with Möbius symbol. In select cases, we calculate their spectra, essential spectra, and numerical ranges.
The Development Of Notation In Mathematical Analysis,
2016
Loyola Marymount University
The Development Of Notation In Mathematical Analysis, Alyssa Venezia
Honors Thesis
The field of analysis is a newer subject in mathematics, as it only came into existence in the last 400 years. With a new field comes new notation, and in the era of universalism, analysis becomes key to understanding how centuries of mathematics were unified into a finite set of symbols, precise definitions, and rigorous proofs that would allow for the rapid development of modern mathematics. This paper traces the introduction of subjects and the development of new notations in mathematics from the seventeenth to the nineteenth century that allowed analysis to flourish. In following the development of analysis, we …
The Complete Structure Of Linear And Nonlinear Deformations Of Frames On A Hilbert Space,
2016
East Tennessee State Universtiy
The Complete Structure Of Linear And Nonlinear Deformations Of Frames On A Hilbert Space, Devanshu Agrawal
Electronic Theses and Dissertations
A frame is a possibly linearly dependent set of vectors in a Hilbert space that facilitates the decomposition and reconstruction of vectors. A Parseval frame is a frame that acts as its own dual frame. A Gabor frame comprises all translations and phase modulations of an appropriate window function. We show that the space of all frames on a Hilbert space indexed by a common measure space can be fibrated into orbits under the action of invertible linear deformations and that any maximal set of unitarily inequivalent Parseval frames is a complete set of representatives of the orbits. We show …
