Past Seminars- Colloquium

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  • Professor Susan Friedlander
    Thu Dec 1, 2011
    4:00 pm
    We discuss an advection-diffusion equation that has been proposed by Keith Moffatt as a model for the Geodynamo. Even though the drift velocity can be strongly singular, we prove that the critically diffusive PDE is globally well-posed. We examine the nonlinear instability of a particular steady state and use continued fractions to construct a...
  • Professor Joachim Escher
    Thu Nov 10, 2011
    4:00 pm
    Several recent results on the regularity of streamlines beneath a rotational travelling wave, along with the wave profile itself, will be discussed. The talk includes the classical water wave problem in both finite and infinite depth, capillary waves, and solitary waves as well. A common assumption in all models to be discussed is the absence of...
  • Professor Jill Mesirov
    Thu May 12, 2011
    4:00 pm
    The sequencing of the human genome and the development of new methods for acquiring biological data have changed the face of biomedical research. The use of mathematical and computational approaches is taking advantage of the availability of these data to develop new methods with the promise of improved understanding and treatment of disease. I...
  • Professor of Mathematics and Director of the Institute for Pure and Applied Mathematics (IPAM) Russel Caflisch
    Thu Apr 28, 2011
    4:00 pm
    Monte Carlo is a computational workhorse for valuation of financial securities and risk. It is directly applicable to almost all types of financial securities and is robust in that it is insensitive to the complexities of a security. On the other hand, Monte Carlo can be terribly slow and inaccurate. This talk will review the basics of Monte Carlo...
  • Professor Charles Newman
    Thu Mar 31, 2011
    4:00 pm
    In statistical physics, systems like percolation and Ising models are of particular interest at their critical points. Critical systems have long-range correlations that typically decay like inverse powers. Their continuum scaling limits, in which the lattice spacing shrinks to zero, are believed to have universal dimension-dependent properties....
  • Rev Howard J. Kena CSC Professor Karsten Grove
    Thu Feb 10, 2011
    4:00 pm
    Alexandrov geometry reflects the geometry of Riemannian manifolds when stripped from everything but their structure as metric spaces with a (local) lower curvature bound. In this talk I will define Alexandrov spaces and discuss basic properties, constructions and examples. By now there are numerous applications of Alexandrov geometry, including...
  • Professor Thomas Hou
    Thu Nov 18, 2010
    4:00 pm
    How to extract trend from highly nonlinear and nonstationary data is an important problem that has many practical applications ranging from bio-medical signal analysis to econometrics, finance, and geophysical fluid dynamics. We review some exisiting methodologies in defining trend and instantaneous frequency in data analysis. Many of these...