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Solutions for Semilinear Elliptic Equations via Morse Theory
Description The speaker will discuss the main ideas of applying infinite dimensional Morse Theory to find nontrivial solutions for semilinear elliptic boundary value problems.
Intensity approach versus hazard process approach to modeling of credit risk
Description Work with T. Bielecki, Y. LeCam , M Rutkowski We study the different models of credit risk and we present some cases where the hazard process approach is more efficient than the intensity...
Dependence Modeling with Archimedean Copulas
Description Archimedean copulas have proven to be remarkably useful for modeling dependence in a variety of settings. In this talk we will survey important aspects of the theory of Archimedean copulas...
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...