Video Lectures

In this talk, we will continue, the proof of the Central Limit theorem from my last talk. We will show that that the law of "eigenregular" Gaussian polynomials is close to a Gaussian. The proof will be based on Stein's method and will be dependent...

In this lecture, Dan Ariely, James B. Duke Professor of Psychology and Behavioral Economics at Duke University and former Member (2005-07) in the School of Social Science, will discuss how the principles of behavioral economics can help us...

How can historians contribute to investigating the ­relationships between climate change, ecology, and human activity? Scientific research is making available ­volumes of data on the possible correlations between ­environmental change and social...

Given an elliptic curve \(E\) over a field \(k\), its \(p\)-torsion \(E[p]\) gives a 2-dimensional representation of the Galois group \(G_k\) over \(\mathbb F_p\). The Frey-Mazur conjecture asserts that for \(k= \mathbb Q\) and \(p > 13\), \(E\) is...

Many of the major results of modern ergodic theory can be understood in terms of a sequence of finite metric measure spaces constructed from the marginal distributions of a shift-invariant process. Most simply, the growth rate of their covering...

We present the key ideas of a new proof of Landau damping for the Vlasov-Poisson equation obtained in a joint work with Bedrossian and Masmoudi. This nonlinear transport equation is a fundamental model for describing self-interacting plasmas or...

In this Science for Families talk, Boaz Katz, John N. Bahcall Fellow in the School of Natural Sciences explores stars and supernovae. One of the most striking facts that we know about the cosmos is that most of the chemical elements that ­constitute...

In the last few years, there has been a lot of activity in the area of structural analysis and derandomization of polynomial threshold functions. Tools from analysis and probability have played a significant role in many of these works. The focus...

A planar set that contains a unit segment in every direction is called a Kakeya set. These sets have been studied intensively in geometric measure theory and harmonic analysis since the work of Besicovich (1919); we find a new connection to game...