All Seminars & Colloquia
Signal processing with the Euler calculus
Michael Robinson, Department of Mathematics and Statistics, American University
Wednesday, 11/14/2012, 6:00pm - 11:59pm
Abstract: It happens that many of the transforms traditionally used in signal processing have natural analogs under the Euler integral, popularized by Baryshnikov and Ghrist. The properties of these transforms are sensitive to topological (as well as certain geometric) features in the sensor field and allow signal processing to be performed on structured, integer valued data, such as might be gathered from ad hoc networks of inexpensive sensors. For instance, the analog of the Fourier transform computes a measure of width of support for indicator functions.
Optimal regularity estimates for non linear continuity equations
Analysis Seminar by Pierre Emmanuel Jabin (UMD)
Saturday, 11/3/2012, 3:00am - Thursday, 1/30/2014, 11:59pm
Abstract: We prove compactness and hence existence for solutions to a class of non linear transport equations. The corresponding models combine the features of linear transport equations and scalar conservation laws. We introduce a new method which gives quantitative compactness estimates compatible with both frameworks.
Topological Mixing Tilings of $\mathbb{R}^2$ Generated by a Generalized Substitution
Speaker: Tyler White, Northern Virginia Community College
Friday, 10/26/2012, 7:45pm - 11:59pm
Abstract: Kenyon, in his 1996 paper, gave a class of examples of tilings of \mathbb{R}^2 constructed from generalized substitutions. These examples are topologically conjugate to self-similar tilings of the plane (with fractal boundaries). I have proven that an infinite sub-family of Kenyon's examples are topologically mixing. These are the first known examples of topologically mixing substitution tiling dynamical systems of \mathbb{R^2}.
SYMPOSIUM on Mathematics and Presidential Campaigns
Friday, 10/19/2012, 5:00pm - 11:59pm
Opening Remarks: Leo Chalupa, Vice President for Research.
Keynote Speaker: John Banzhaf, Law School, Inventor of the "Banzhaf Index of Voting Power"
Penelists: John Banzhaf, Law School, Inventor of the "Banzhaf Index of Voting Power"
Danny Hayes, Assistant Professor of Political Science
Edward Turner, Dept. of Mathematics
Daniel Ullman, Co-Author, "A Mathematical Look at Politics"
Moderator: Yongwu Rong, Dept. of Mathematics and GWIMS.
Refreshments will be served at the end
A Discrete Bernoulli Free Boundary Problem
Speaker: Maria Gauladani, GW
Friday, 10/19/2012, 4:00pm - 11:59pm
Abstract: We consider a new type of free boundary problem for the p-Laplace operator. This problem is strictly related to the well-known Bernoulli problem: in this new formulation, the classical boundary gradient condition is replaced by a condition on the distance between two different level surfaces of the solution. Under suitable scaling this new formulation converges to the classical Bernoulli problem. We establish existence and qualitative theory in convex and non-convex regions. This is a joint work with M.d.M Gonzalez and H. Shahgholian.
WEIGHTED COMPOSITION OPERATORS BETWEEN M¨OBIUS-INVARIANT ANALYTIC FUNCTION SPACES
Speaker: Flavia Colonna from George Mason University
Friday, 10/12/2012, 7:45pm - 11:59pm
On the Logical Formalization of Single Photon Self-Interference
Areski Nailt-Abdallah, University of Western Ontario and INRIA Paris
Friday, 9/28/2012, 7:33pm - 11:59pm
Abstract: We consider the particle interference problem in quantum physics, and discuss a Curry-Howard isomorphism based logical analysis of this problem. This approach is applied to a photon traversing a Mach-Zehnder interferometer.
Keye Martin, Naval Research Laborator
Friday, 3/16/2012, 5:35pm - 11:59pm
Abstract: One goal of our current research is to define a new area called algebraic information theory. It began with the realization that many important classes of channels, both quantum and classical, possess the structure of a compact affine monoid. The idea is then to use this structure as the basis for new techniques in information theory.
Application of Compressive Sensing to Cognitive Radio and Digital Holography
Speaker: Sang (Peter) Chin, Cyber Space Technology Branch, Johns Hopkins Applied Physics Laborator
Wednesday, 3/7/2012, 4:30pm - 11:59pm
Abstract: One of the key aspects of cognitive radio is the concept of dynamic spectrum access, where a radio searches for a (temporarily) unused white space in order to transmit and receive its data. To enable such dynamic spectrum utilization, it is critical to detect the existence/absence of primary users, and furthermore understand the spectrum usage pattern of primary users.
An Introduction to Infinite-Dimensional Categorical Quantum Computing
Clarke Smith, GWU
Friday, 3/2/2012, 6:37pm - 11:59pm
Abstract: Category theory has proven promising in capturing the logic of quantum information processing at a fairly high level, in similar fashion to Boolean logic and classical computing. In particular, quantum state evolution and quantum teleportation have been able to be depicted by the category of finite-dimensional Hilbert spaces together with linear transformations. Since all categories behave identically by definition, we can then view quantum computation in a highly intuitive, diagrammatic language.