Sém. Proba. L. Miclo. Construction of set-valued dual processes via random mappings
schedule du mardi 20 novembre 2018 à 14h00 au jeudi 20 décembre 2018 à 15h00
Organisé par : LPSM
Intervenant : Laurent MICLO (U. P. Sabatier.)
Lieu : Campus Jussieu, Tours-16-26, 2ème, Salle 209.
Sujet : L. Miclo: Construction of set-valued dual processes via random mappings
The strong stationary times introduced by Aldous and Diaconis  provide a probabilistic approach to quantitative convergence to equilibrium.
They are often obtained as the absorption times of intertwining dual processes, following a method due to Diaconis and Fill .
We will see how to deduce explicit constructions from certain random mappings, related to the coupling-from-the-past algorithm of Propp and Wilson 
and to the evolving sets of Morris and Peres . This approach is very flexible and can be adapted, via the coalescing stochastic flows of Le Jan and Raimond  associated to Tanaka's equation, to recover Pitman's theorem 
on the intertwining relation between the Brownian motion and the Bessel-3 process. The talk will end by the presentation of a new kind of coalescing stochastic flows that would enable us to go further.