Three series of lectures were given at the 32nd Probability Summer School in Saint-Flour (July 7 24, 2002), by the Professors Pitman, Tsirelson and Werner. ThecoursesofProfessorsTsirelson( Scalinglimit, noise, stability )andWerner ( Random planar curves and Schramm-Loewner evolutions ) have been p- lished in a previous issue ofLectures Notes in Mathematics (volume 1840). This volume contains the course Combinatorial stochastic processes of Professor Pitman. We cordially thank the author for his performance in Saint-Flour and for these notes. 76 participants have attended this school. 33 of...