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Mathematical Challenges Past and Future
Speaker Joe Tribbia Institute for Mathematics Applied to Geosciences, NCAR http://www.cgd.ucar.edu/cdp/gdsstaffwebs/tribbia.htm Description The problem of predicting the future state of the weather...
Dynamical Systems Analysis of Visual Cortex
Description Visual stimuli produce waves of activity in the visual cortex of freshwater turtles. The waves can be visualized using modern imaging methods and have complicated spatiotemporal dynamics...
Localized structures in subcritically unstable, globally controlled pattern-forming systems
Description We investigate the nonlinear dynamics of subcritical instabilities in the presence of a feedback control. The control is based on a feedback loop between the linear growth rate and the...
Hypergraph-based Image Representation
Description An appropriate image representation induces some good picture treatment algorithms. Hypergraph theory is a theory of finite combinatorial sets, modeling many problems of operational...
Hypergraphs for 2D and 3D Lossless Image Compression
Description In this presentation we define a 2D and 3D-image representation based on a hypergraph of rectangle. This representation conducts to a lossless compression algorithm for 2D and 3D-images...
Boundary layers associated with the incompressible Navier-Stokes equations:The non characteristic case
Description In this lecture, we will study the behavior for small viscosity of the Navier-Stokes equations in a channel when the walls are permeable (noncharacteristic case). Convergence is proved to...
Hedging of Credit Derivatives in Models with Totally Unexpected Default
Description The paper presents an overview of methods of hedging defaultable derivatives under the assumption that there exist tradeable assets with dynamics allowing for elimination of default risk...