François de Laval

M. Jean-François DELMAS directeur de thèse

In this thesis, we study continuum tree-valued processes. First, we define anabstract framework for these processes, by constructing a metric on the space of locally com-pact, complete R-trees, endowed with a locally finite Borel measure. This topology, calledGromov-Hausdorff-Prokhorov topology, allows for the definition of tree-valued Markov pro-cesses. We then give a new const...

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...

Space Advantage Provided by De - Laval Nozzle and Bell Nozzle over Venturi

Abstract:-The FSAE guidelines state that it is mandatory for each and every car participating in the said event to have a single circular 20mm restrictor in the intake system. All the air flowing to the engine must pass through this restrictor. Conventionally, a Venturi Nozzle is used as a restrictor. In our research, we have proposed two Nozzles: De-Laval Nozzle and Bell Nozzle as an alternati...