Browsing School of Mathematics by Title
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C^k Conjugacy of 1D Diffeomorphisms with Periodic Points
(Georgia Institute of Technology, 19950605)It is shown that the set of heteroclinic orbits between two periodic orbits of saddlenode type induces a functional modulus. For onedimensional C^2 diffeomorphisms with saddlenode periodic points, two such diffeomorphisms ... 
Cases of equality in the riesz rearrangement inequality
(Georgia Institute of Technology, 199405) 
Center Manifold and ExponentiallyBounded Solutions of a System of Parabolic Equations
(Georgia Institute of Technology, 20021001) 
Center manifold theory for smooth invariant manifolds
(Georgia Institute of Technology, 199712) 
Center Manifolds for Invariant Manifolds
(Georgia Institute of TechnologyAmerican Mathematical Society, 1997)We study dynamics of flows generated from smooth vector fields in R^n in the vicinity of an invariant and closed smooth manifold Y. By applying the Hadamard graph transform technique, we show that there exists an invariant ... 
Center Manifolds for Invariant Sets
(Georgia Institute of Technology, 1999)We derive a general center manifolds theory for a class of compact invariant sets of flows generated by a smooth vector fields in R^n. By applying the Hadamard graph transform technique, it is shown that, associated to ... 
Central Discontinuous Galerkin Methods on Overlapping Cells with a NonOscillatory Hierarchical Reconstruction
(Georgia Institute of Technology, 20060828)The central scheme of Nessyahu and Tadmor [J. Comput. Phys, 87 (1990)] solves hyperbolic conservation laws on a staggered mesh and avoids solving Riemann problems across cell boundaries. To overcome the difficulty of ... 
Central Schemes and Central Discontinuous Galerkin Methods on Overlapping Cells
(Georgia Institute of Technology, 2005)The central scheme of Nessyahu and Tadmor (J. Comput. Phys, 87(1990)) has the bene t of not having to deal with the solution within the Riemann fan for solving hyperbolic conservation laws and related equations. But the ... 
Central Schemes on Overlapping Cells
(Georgia Institute of Technology, 2004)Nessyahu and Tadmor's central scheme (J. Comput. Phys, 87(1990)) has the benefi t of not using Riemann solvers or characteristic decomposition for solving hyperbolic conservation laws and related convection diffusion ... 
Certain aspects of the stability of solutions of systems of nonlinear differential equations
(Georgia Institute of Technology, 195805) 
Characterization of function spaces and boundedness of bilinear pseudodifferential operators through Gabor frames
(Georgia Institute of Technology, 200305) 
A Characterization of Gaussian Measures via the Isoperimetric Property of HalfSpaces
(Georgia Institute of Technology, 19950725)If the halfspaces of the form {x\in R^n: x_1 \le c} are extremal in the isoperimetric problem for the product measure \mu^n, n\ge 2, then \mu is Gaussian. 
Characterizations of the identity component in nearrings of Lipschitz transformations
(Georgia Institute of Technology, 197108) 
A class of selfadjoint boundaryvalue problems for systems of first order linear differential equations
(Georgia Institute of Technology, 196108) 
Clique Immersion in Digraphs
(Georgia Institute of Technology, 201205)Immersion is a containment relation between graphs (or digraphs) which is defined similarly to the more familiar notion of minors, but is incomparable to it. In this talk we focus on immersing a bidirected clique \vec{K}_t ... 
Cohomology and Ktheory of aperiodic tilings
(Georgia Institute of Technology, 20080519)We study the Ktheory and cohomology of spaces of aperiodic and repetitive tilings with finite local complexity. Given such a tiling, we build a spectral sequence converging to its Ktheory and define a new cohomology (PV ... 
A Colin de VerdiereType Invariant and OddK_4 and OddK^2_3Free Signed Graphs
(Georgia Institute of Technology, 201205)We introduced a new Colin de Verdieretype invariant \nu(G,\Sigma) for signed graphs. This invariant is closed under taking minors, and characterizes bipartite signed graphs as those signed graphs (G,\Sigma) with ... 
Collaboration in basic science and engineering
(Georgia Institute of Technology, 1994) 
Collaborative research: copulas, tail copulas, garch and extreme values in dependence modelling and risk management
(Georgia Institute of Technology, 20101229) 
Collaborative research: statistical interference based on jackknife empirical likelihood methods
(Georgia Institute of Technology, 20120101)