The Hutchinson trick: a cheap way to evaluate the trace of a Jacobian, without computing the Jacobian itself!

Summary advice given after attending one day of M1 internship presentations at ENS.

INRIA and CNRS “chargé de recherche” positions offer unique conditions of freedom to do first-grade research: lifelong contract, no teaching involved. The application process is challenging, but it’s definitely worth it! The goal of this guide is to make the application process as easy as possible.

The alpha trick is a very cute and efficient trick to find equivalent to sequences defined recursively as \(x_{k+1} = f(x_k)\).