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Professor Sharad Goel
Tue Mar 20, 2007
11:00 am
Classical multidimensional scaling (MDS) is a method for visualizing high-dimensional point clouds by mapping to low-dimensional Euclidean space. This mapping is defined in terms of eigenfunctions of a matrix of interpoint proximities. I'll discuss MDS applied to a specific dataset: the 2005 United States House of Representatives roll call votes....
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Professor Wolfgang Konig
Wed Mar 7, 2007
11:00 am
We consider the Cauchy problem for the heat equation with random potential
on $Z^d$. This is one of the fundamental models of a random motion through
a random field of sinks and sources: the mass of the moving particle is
decreased in sinks (sites with negative potential value) and increased in
sources (sites with positive potential values). We...
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Professor Sourav Chatterjee
Sun Mar 4, 2007
11:00 am
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Professor Ofer Zeitouni
Wed Feb 28, 2007
11:00 pm
Abstract: for (transient) one dimensional random walk in random environment, conditions are known that ensure an annealed CLT. One then also have a quenched CLT, with a different (environment dependent) centering.
In higher dimensions, annealed CLT's have been derived in the ballistic case by Sznitman. We prove that in dimension 4 or more,...
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Professor Alexander Roitershtein
Tue Jan 30, 2007
11:00 am
We will discuss a strong law of large numbers, an annealed CLT, and
the limit law of the ``environment viewed from the particle" for transient
random walks on a strip (product of Z with a finite set). The model was
introduced by Bolthausen and Goldsheid and includes in particular RWRE
with bounded jumps on the line as well as some one-dimensional...
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Professor Roberto Schonman
Tue Nov 28, 2006
11:00 am
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Professor Christof Kuelske
Tue Nov 21, 2006
11:00 am
We discuss lower bounds on the fluctuations
in disordered continuous effective interface models
in spatial dimension d=2.
The results enclude a Gaussian lower bound
in finite volume, and a proof of the non-existence
of the random gradient measure in infinite volume.
(Joint work with E. Orlandi and A. C. D. van Enter)
