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Partitioning and Connectivity

Description Abstract: The most famous and useful characterization of k-connected graphs is Menger's Theorem, but there is another, very nice but little-known characterization of a wholly different...

Complementarity Constraints: Recent Advances in Computation and Modeling

Speaker Mihai AnitescuArgonne National Laboratory, Division of Mathematical and Computer Scienceshttp://www.mcs.anl.gov/~anitescu/ Description Complementarity constraints are a very versatile modeling...

A random walk through numerical integration, Riesz configurations and low discrepancy sequences on rectifiable sets

SpeakerStephen Damelin IMA University of Minnesotahttp://www.ima.umn.edu/~damelin/ Description Many practical problems in elasticity, vibration, etc., when modeled mathematically, reduce to the matrix...

Stochastic Partial Differential Equations and Invariant Measures

SpeakerMichael G RoecknerPurdue Universityhttp://www.stat.purdue.edu/people/faculty/roeckner Description We shall first review the connection between ordinary stochastic differential equations (SODE)...

Nonsymmetric Positive Solutions for Symmetric Dirichlet Elliptic Problems

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...

Black-box Complementarity Problems Applications and Algorithms

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...