Past Masters, New Waves: Tsai Ming-liang / François Truffaut

19 April 2013 − − François

Assignment 3 François Séguin

Question 1 First, we have that λ − λ − 2 = (λ + 1)(λ − 2). Therefore, it is true that the eigenvalues of the corresponding adjacency matrix come in pairs of additive inverse. However, notice that ± √ −1 are eigenvalues, and therefore the associated matrix cannot be symmetric (there would only be real eigenvalues). We conclude that no undirected graph can have the above characteristic polynomial...

The Planck mission François

These lecture notes discuss some aspects of the Planck1 mission, whose prime objective was a very accurate measurement of the temperature anisotropies of the Cosmic Microwave Background (CMB). We announced our findings a few months ago, on March 21st , 2013. I describe some of the relevant steps we took to obtain these results, sketching the measurement process, how we processed the data to obt...

Nonlinear Waves in Lattices: Past, Present, Future

Edge waves: theories past and present.

The problem of edge waves as an example within classical water-wave theory is described by presenting an overview of some of the theories that have been offered for this phenomenon. The appropriate governing equations and boundary conditions are formulated, and then the important discoveries of Stokes and Ursell, concerning the travelling edge wave, are presented. (We do not address the corresp...