Professor Sharad Goel
Tue Mar 20, 2007
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....
Professor Wolfgang Konig
Wed Mar 7, 2007
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...
Professor Sourav Chatterjee
Sun Mar 4, 2007
Professor Ofer Zeitouni
Wed Feb 28, 2007
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,...
Professor Alexander Roitershtein
Tue Jan 30, 2007
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...
Professor Roberto Schonman
Tue Nov 28, 2006
Professor Christof Kuelske
Tue Nov 21, 2006
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)