These pages summarize my research from September 2008 to September 2013 (see the publication list below ranked by chronological order on arXiv). The papers [P1-6] are extracted from my Ph.D thesis (june 2011) as well as the majority of [P11]. We chose not to present the results of [P3], [P5], [P9] and [P10]. May the concerned co-authors forgive me. This manuscript is made of two parts : random trees and random planar maps. The original results I obtained with my co-authors are highlighted by boxed theorems and are numbered 1, 2, 3, . . .. Apologizes are due to foreign readers but this is one of the few occasions I may write mathematics in French...
