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George Mason | MATH 795
Graduate Seminar
Professors
- Evelyn Sander,
- Padmanabhan Seshaiyer,
- ,
- Sander, E
32 sample documents related to MATH 795
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Mathematics Graduate Seminar April 17, 2007 Andrew Samuelson Title: Wavelets Abstract: Wavelets represent a relatively new set of techniques in harmonic analysis. They can be used as an alternative to Fourier series and the Fourier transform as a wa
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Mathematics Department Graduate Seminar February 20, 2007 Tina Hartley Title: Discrete Fourier Transforms Abstract: The Discrete Fourier Transform (DFT) of a function f(x) sampled at N equally spaced points consists of a set of N coefficients given b
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MATCHING POLYNOMIALS AND THE PROBLEM OF THE ROOKS Jill Bigley Dunham This talk will present a combinatorial problem, the problem of the rooks, as a way to introduce the concept of matching polynomials. A matching polynomial is a generating function f
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Interpolation in the Paley-Wiener Space Mao-Tsuen Jeng 05/01/2007 Abstract: In one-dimension, we can apply the Shanon-Whittaker Sampling Theorem to reconstruct a bandlimited function from its uniform sampling. In this talk, we are going to study the
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THE BLOCH SPACE: FUNCTION- 1} is said to be Bloch if sup(1 |z|2 ) f (z) < . zD The Bloch space is the set of all Bloch functions. In the
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FLUID FLOW IN SOME SIMPLE GEOMETRIES JAVED I. SIDDIQUE Abstract: In this presentation we will consider dierent aspects of Newtonian and non-Newtonian uids in parallel and non-parallel geometries. These studies are motivated by uid ows in biological
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MATHEMATICS DEPARTMENT SPECIAL SEMINAR 31 OCTOBER 2006 12:15PM - 1:05PM, ST1, ROOM 242 PROF. GREG LANDWEBER UNIVERSITY OF OREGON Title: Physical Supersymmetry for Mathematicians. Abstract: In particle physics, there are two fundamental classes of par
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* Computational Homology and the Evolution of Complex Patterns Many partial differential equation models arising in applications generate complex patterns evolving with time which are hard to quantify due to the lack of any underlying regula
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MATRIX GROUPS AND THE DIAGONAL OF A ROTATION MATRIX Trey Andreani Abstract The statement that there exists a doubly stochastic matrix P such that y = P x, is equivalent to stating that y lives in the convex hull of {(1) , (2) , . . . , (n) ) : Sn }
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CANONICAL FACTORIZATION OF ANALYTIC FUNCTIONS IN THE COMPLEX PLANE FLAVIA COLONNA A common algebraic problem is to factor a polynomial into a product of irreducible polynomials. Polynomials with complex coecients can always be factored into a produc
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ON THE SPECTRUM OF AN ISOMETRIC COMPOSITION OPERATOR ON THE BLOCH SPACE OF THE POLYDISK ROBERT F. ALLEN Abstract. Let f be a complex-valued holomorphic function dened on the unit polydisk Dn . For z Dn and u, v Cn , let ( f )(z)u = ( f )(z), u , wh
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Title: New Results on Fixed Rings of Group Actions Abstract: We will consider group action on a ring via ring automorphisms. In particular, we will look at the ring of elements left fixed by this action, its quotient field, and conclusions about the
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Are the laws of mathematics underlying the universe, there for us to discover? Or, have we simply created the best system that we can humanly imagine in an attempt to explain all of the natural phenomena that we perceive? From Pythagoras and Plato
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James Madison University Mathematics Colloquium Vertex Coloring Planar Graphs, Inductively and Theoretically Prof. Geir Agnarsson George Mason University Wednesday, February 1 7:00 pm Room 031, Burruss Hall Abstract Vertex coloring planar graphs ha
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Math 795001 (Graduate Seminar) Fall 2006 Coordinator: David Walnut Office: ST1, room 261 Phone: 703 993 1478 (voice) 703 993 1491 (fax) email: dwalnut@gmu.edu Course web page: Access through http:/math.gmu.edu/coursehomepages.htm Office hours: TR 11:
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RIGID MOTIONS IN THE PLANE Trey Andreani A rigid motion is a map m : Rn Rn , satisfying the following condition: If x,y are points of Rn , then the distance from x to y is equal to the distance from m(x) to m(y). This talk will be restricted to figu
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CONWAY\'S THRACKLE CONJECTURE Jill Bigley Dunham A thrackle is an embedding of a simple graph in the plane such that each pair of edges intersects exactly once when counting common endpoints as intersection points, or alternatively, such that each pai
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MATHEMATICS DEPARTMENT GRADUATE SEMINAR 21 NOVEMBER 2006 Keith Fox Title: An Introduction to Small Cardinals, and Martin\'s Axiom Abstract: Small cardinals are cardinals that can be shown to be uncountable in ZFC and whose relative size with regard to
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RAMSEY NUMBERS Jeannie Genoese-Zerbi \"Complete disorder is impossible.\" This quote from T S Motzkin captures the premise of Ramsey theory. Even when nothing specific is known about a system, size alone can guarantee that it will have certain charact
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MATHEMATICS DEPARTMENT GRADUATE SEMINAR 12 SEPTEMBER 2006 PROF. IGOR GRIVA GMU DEPARTMENT OF MATHEMATICAL SCIENCES Title: Case Studies in Shape and Trajectory Optimization: Catenary Problem. Abstract: This talk presents a case study in modern large-s
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Mathematics Department Graduate Seminar 29 November 2006 Mao-Tsuen Jeng Two Dimension Sampling Shannon-Whittaer sampling theorem states that a bandlimited square integrable function can be recovered from a periodic sampling of a fixed interval. This
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MATHEMATICS DEPARTMENT GRADUATE SEMINAR 5 DECEMBER 2006 David Johannsen Title: A Brief (and often imprecise) Introduction to Geometrization Abstract: In this talk we will attempt to provide an elementary introduction to geometric structures and geome
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MATHEMATICS DEPARTMENT GRADUATE SEMINAR 24 OCTOBER 2006 PROF. EVELYN SANDER GMU DEPARTMENT OF MATHEMATICAL SCIENCES Title: Explosions in one dimension. Abstract: I will discuss the theory of iterated maps of the interval. The talk will describe ongoi
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IMBIBITION OF LIQUID INTO A POROUS MATERIAL JAVED I. SIDDIQUE The imbibition of liquid into a porous material is considered. The liquid is imbibed due to capillary suction in the initially dry substrate. Different combinations of dimension, deformat
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Math 795001 (Graduate Seminar) Spring 2006 Coordinator: David Walnut Office: ST1, room 261 Phone: 703 993 1478 (voice) 703 993 1491 (fax) email: dwalnut@gmu.edu Course web page: Access through http:/math.gmu.edu/html/courses/courses.html Office hours
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Title: Abel\'s Proof of the Impossibility of Solving the General Equation of the Fifth Degree Abstract: I intend to cover a brief history of the problem, the algebraic tools needed to complete the proof, and the actual proof itself.
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Title: Chaos in a Biological System I plan to talk about chaos and Lyapunov exponents, then look at an application to biology.
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Ttile: Global bifurcations in three dimensions Abstract: Dynamical systems is the study of systems which change with time, as governed by a consistent set of rules. The mathematical theory has a rich and beautiful structure, including such celeb
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F ROM S IMPLE WALKS TO B ROWNIAN M OTION A random walk in Zd is a random process consisting of steps from a point in an integer lattice to another point each with the same probability while Brownian Motion is a random, continuous, almost nowhere dif
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Spikes and Plateaus Richard Tatum April 3, 2007 Local maxima of functions f : Rn R can be classied into spikes or plateaus using a fourth order derivative and nonlocal gradient. We shall provide denitions for spikes and plateaus, and prove classica
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Ehrhart Polynomials For a d-dimensional polytope P dened as the convex hull of n vertices on the integer lattice Zd , the number of lattice points contained in kP for some integer k is given by a polynomial in k, denoted iP (k), of degree d. This res
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spacese The talk will be an introduction spaces and topological dimension. After a brief familiarization with spaces some results regarding them and dimension theory will be given. The dimension theory results will come from a paper by Jun Terasaw
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