This workshop is part of the topical program "Non-equilibrium
Dynamics and Random Matrices" which will take place during the
2013-2014 academic year at the Institute for Advanced Study.
The workshop aims to provide a broad survey of the
current...
Given data stream \(D = \{p_1,p_2,...,p_m\}\) of size \(m\) of
numbers from \(\{1,..., n\}\), the frequency of \(i\) is defined as
\(f_i = |\{j: p_j = i\}|\). The \(k\)-th frequency moment of \(D\)
is defined as \(F_k = \sum_{i=1}^n f_i^k\). We...
I will discuss recent joint work with Vinicius Gripp and Michael
Hutchings relating the volume of any contact three-manifold to the
length of certain finite sets of Reeb orbits. I will also explain
why this result implies that any closed contact...
The study of the Gaussian limit of linear statistics of
eigenvalues of random matrices and related processes, like
determinantal processes, has been an important theme in random
matrix theory. I will review some results starting with the
strong...
What is the volume of the set of singular symmetric matrices of
norm one? What is the probability that a random plane misses this
set? What is the expected "topology" of the intersection of random
quadric hypersurfaces?
In this talk I will combine...
Birkhoff sections have been invented... by Poincaré in his work
on celestial mechanics. Birkhoff made an extensive use of this
concept in dynamical systems. Sometimes, one can find surfaces
transverse to the trajectories of a vector field in a 3...
We will review some interactions between random matrix theory
and distributions of zeroes of L-functions in families (the
Katz-Sarnak philosophy) before presenting some recent results
(joint with Dorian Goldfeld) in the higher rank setting. We
will...
