  We introduce an object called a decorated Young tableau which can
equivalently be viewed as a continuous time trajectory of Young diagrams or as
a non-intersecting line ensemble. By a natural extension of the
Robinson-Schensted correspondence, we create a random pair of decorated Young
tableaux from a Poisson point process in the plane, which we think of as a
stochastic process in discrete space and continuous time. By using only
elementary techniques and combinatorial properties, we identify this process as
a Schur process and show it has the same law as certain non-intersecting
Poisson walkers.
