2003/04/24 by Ofer Zeitouni
Mathematics · #math.PR #msc:60K37 #msc:82C44
published as Proceedings of the ICM, Beijing 2002, vol. 3, 117--130
arxiv created 2003/04/24 · arxiv updated 2009/11/30
Random walks in random environments (RWRE's) have been a source of surprising phenomena and challenging problems since they began to be studied in the 70's. Hitting times and, more recently, certain regeneration structures, have played a major role in our understanding of RWRE's. We review these and provide some hints on current research directions and challenges.