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Professor Matthew Foreman
Tue May 31, 2005
11:00 am
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Professor Stanislav Molchanov
Wed May 25, 2005
11:00 am
We will present several new results about global theorem and asymptotic expansions for the distributions of iid random variables in the domain of attraction of stable laws. Particular attention will be paid to the Cuachy case which exhibits especially interesting features.
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Professor Matthew Foreman
Tue May 24, 2005
11:00 am
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Professor Jaya Bishwal
Wed May 18, 2005
11:00 am
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Associate Professor Vadim Kaloshin
Tue May 17, 2005
11:00 am
Consider a compact manifold $M$ (e.g. a torus) equipped with
a smooth measure $\mu$ (e.g. Lebesgue measure in the case
of torus) as a probability space $(M,\mathcal M,\mu)$. Consider
an ergodic map $T:M \to M$ along with a smooth function
$p:M \to (0,1)$. Define a random walk along orbits of $T$ as follows:
a point $x$ jumps to $T x$ with...
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Professor Patrick Fitzsimmons
Tue Apr 26, 2005
11:00 am
ABSTRACT: A harmonic function of the Brownian path is a local martingale. Is the converse true? We show that the class of local martingale functions of Brownian motion is co-extensive with the class of finely harmonic functions, and then use a results of Fuglede and Gardiner to answer this question in the negative, in dimensions bigger than 2.
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Professor David Aldous
Tue Apr 12, 2005
11:00 am
We describe a stochastic model for complex networks possessing three
qualitative features: power-law degree distributions, local clustering, and
slowly-growing diameter.
The model is mathematically natural, permits a wide variety
of explicit calculations, has the desired three qualitative features,
and fits the complete range of degree scaling...
