Abstract
The talk will discuss joint work with E. Nordenstam and P. van Moerbeke on the Dyson process as projected onto consecutive minors for beta=1,2,4, yielding a diffusion and SDE's and also the Dyson process projected onto so-called space like paths for beta=2 , so the size of the minors never goes up along the flow. We derive a kernel for this determinantal process and at the same time, for the process of intertwined Brownian motions of Jon Warren and in addition a version of the bead process with continuous time.